From 61b7d5cb119024858193f77f037e4df53a6473cb Mon Sep 17 00:00:00 2001 From: helo Date: Sun, 17 Feb 2019 19:11:00 +0100 Subject: [PATCH 01/11] add multhop file containing all multhop stuf --- wingstructure/aero/multhop.py | 135 ++++++++++++++++++++++++++++++++++ 1 file changed, 135 insertions(+) create mode 100644 wingstructure/aero/multhop.py diff --git a/wingstructure/aero/multhop.py b/wingstructure/aero/multhop.py new file mode 100644 index 0000000..bf69074 --- /dev/null +++ b/wingstructure/aero/multhop.py @@ -0,0 +1,135 @@ +"""Module providing multhop quadrature method for solving +prandtl' lifting line problem +""" + +import numpy as np +from collections import namedtuple + + +# Define Pi +π = np.pi + + +# Definition of low level functions + +_multhop_result = namedtuple('ext_multhopp_result', + ('c_ls', 'α_is', 'C_L', 'C_Di')) + + +def _calcgridpoints(b:float, Λ:float, M:int = None): + + # calculate number of gridpoints + if M is None: + M = int(round(Λ)*4-1) # has to be uneven, not more than 4*aspect ratio + elif M%2 == 0: + M += 1 # has to be uneven + + # grid points as angle + θs = np.linspace(np.pi/(M+1), M/(M+1)*np.pi, M) + + # calculate grid points + calc_ys = -b/2 * np.cos(θs) + + return θs, calc_ys + + +def _multhop_solve(αs, θs, chords, dcls, b, return_αi=False): + + # number of grid points + M = len(θs) + + # create empyt matrix (N_MxN_M) for multhoppcoefficients + Bb = np.zeros((M, M)) + Bd = np.zeros(M) + + # calculation of multhopp coefficients + for v, (θv, c, dcl_v) in enumerate(zip(θs, chords, dcls)): + for n, θn in enumerate(θs): + + # diagonal elements + if v == n: + # prevent division throught zero + if np.isclose(np.sin(θv), 0.0): + θv = 1e-15 + + Bb[v, v] = (M+1)/(4*np.sin(θv)) + Bd[v] = 2*b/(dcl_v*c) + # non diagonal elements + else: + Bb[v, n] = - ((1-(-1.)**(v-n))/2*(np.sin(θn)/ \ + ((M+1)*(np.cos(θn)-np.cos(θv))**2))) + + B = Bb + np.diag(Bd) + + # calculation of local circulation + γs = np.dot(np.linalg.inv(B), αs) + + if not return_αi: + return γs + else: + α_is = Bb@γs + return γs, α_is + + +def multhop(ys: np.ndarray, αs: np.ndarray, chords: np.ndarray, + dcls: np.ndarray, S:float, b:float): + """Low level for multhop quadrature calculation + + The parameters except for S and b have to be numpy arrays of the + same length and determine the wing geometry as well calculation + grid points. + + + + Parameters + ---------- + + ys : np.ndarray + span positions at which lift is calculated + chords : np.ndarray + chord lengthes at span positions + αs: np.ndarray + array of angles of attack for chord positions + dcls : np.ndarray + lift coefficient slope regarding angle of attack + S : float + wing area + b : float + span width of wing + + Returns + ------- + tuple + multhop results - (c_ls, α_is, C_L, C_Di)) + lift coefficients, induced angle of attack, + wing's lift coefficient, induced drag coefficient + """ + + # number of grid points + M = len(αs) + + # calculate aspect ratio + Λ = b**2 / S + + # multhop quadrature + θs = np.arccos(-2*ys/b) + + γs, α_is = _multhop_solve(αs, θs, chords, b, dcls, return_αi=True) + + # calculate lift coefficient distritbution + c_ls = 2*b/(np.array(chords)) * np.array(γs) # TODO: Check this formula + + # calculate overall lift coefficient (whole wing) + C_L = π*Λ / (M+1) * np.sum(γs * np.sin(θs)) + + # calculate induced drag + C_Di = π*Λ/(M+1) * np.sum( γs * α_is * np.sin(θs)) + + return _multhop_result(c_ls, α_is, C_L, C_Di) + + +# Definition of high level functions and object + +def calc_multhoplift() + + From 26a192de068cbb6ce6b5bf760c1a81d34b787515 Mon Sep 17 00:00:00 2001 From: helo Date: Sun, 24 Feb 2019 09:37:09 +0100 Subject: [PATCH 02/11] implement high level multhop function --- examples/Analysis_Example.ipynb | 152 ++++++++++++++++++++++++++++-- examples/Liftdistribution.pdf | Bin 18105 -> 18154 bytes examples/Liftdistribution.png | Bin 35135 -> 36432 bytes tests/test_multhop.py | 42 +++++++++ wingstructure/aero/liftingline.py | 4 - wingstructure/aero/multhop.py | 148 +++++++++++++++++++++++------ wingstructure/data/geometry.py | 2 +- 7 files changed, 310 insertions(+), 38 deletions(-) create mode 100644 tests/test_multhop.py diff --git a/examples/Analysis_Example.ipynb b/examples/Analysis_Example.ipynb index e4396fd..d84a9c0 100644 --- a/examples/Analysis_Example.ipynb +++ b/examples/Analysis_Example.ipynb @@ -14,7 +14,7 @@ "outputs": [], "source": [ "from matplotlib import pyplot as plt\n", - "from wingstructure import data, analysis\n", + "from wingstructure import data, aero\n", "import numpy as np" ] }, @@ -75,20 +75,41 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/home/jonathan/Programmieren/wingstructure/wingstructure/analysis.py:33: UserWarning: No airfoil database defined, using default airfoil.\n", + "/home/jonathan/Programmieren/wingstructure/wingstructure/aero/analysis.py:33: UserWarning: No airfoil database defined, using default airfoil.\n", " warn('No airfoil database defined, using default airfoil.')\n" ] }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0.03569992 0.07139983 0.10709975 0.14279967 0.17849958 0.2141995\n", + " 0.24989942 0.28559933 0.32129925 0.35699917 0.39269908 0.428399\n", + " 0.46409891 0.49979883 0.53549875 0.57119866 0.60689858 0.6425985\n", + " 0.67829841 0.71399833 0.74969825 0.78539816 0.82109808 0.856798\n", + " 0.89249791 0.92819783 0.96389775 0.99959766 1.03529758 1.0709975\n", + " 1.10669741 1.14239733 1.17809725 1.21379716 1.24949708 1.28519699\n", + " 1.32089691 1.35659683 1.39229674 1.42799666 1.46369658 1.49939649\n", + " 1.53509641 1.57079633 1.60649624 1.64219616 1.67789608 1.71359599\n", + " 1.74929591 1.78499583 1.82069574 1.85639566 1.89209558 1.92779549\n", + " 1.96349541 1.99919533 2.03489524 2.07059516 2.10629507 2.14199499\n", + " 2.17769491 2.21339482 2.24909474 2.28479466 2.32049457 2.35619449\n", + " 2.39189441 2.42759432 2.46329424 2.49899416 2.53469407 2.57039399\n", + " 2.60609391 2.64179382 2.67749374 2.71319366 2.74889357 2.78459349\n", + " 2.8202934 2.85599332 2.89169324 2.92739315 2.96309307 2.99879299\n", + " 3.0344929 3.07019282 3.10589274]\n" + ] + }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "
" ] @@ -98,7 +119,7 @@ } ], "source": [ - "liftana = analysis.LiftAnalysis(wing)\n", + "liftana = aero.LiftAnalysis(wing)\n", "\n", "span_pos = liftana.calc_ys\n", "\n", @@ -120,6 +141,125 @@ "plt.savefig('Liftdistribution.pdf')" ] }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "from wingstructure.aero import multhop" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0.03569992 0.07139983 0.10709975 0.14279967 0.17849958 0.2141995\n", + " 0.24989942 0.28559933 0.32129925 0.35699917 0.39269908 0.428399\n", + " 0.46409891 0.49979883 0.53549875 0.57119866 0.60689858 0.6425985\n", + " 0.67829841 0.71399833 0.74969825 0.78539816 0.82109808 0.856798\n", + " 0.89249791 0.92819783 0.96389775 0.99959766 1.03529758 1.0709975\n", + " 1.10669741 1.14239733 1.17809725 1.21379716 1.24949708 1.28519699\n", + " 1.32089691 1.35659683 1.39229674 1.42799666 1.46369658 1.49939649\n", + " 1.53509641 1.57079633 1.60649624 1.64219616 1.67789608 1.71359599\n", + " 1.74929591 1.78499583 1.82069574 1.85639566 1.89209558 1.92779549\n", + " 1.96349541 1.99919533 2.03489524 2.07059516 2.10629507 2.14199499\n", + " 2.17769491 2.21339482 2.24909474 2.28479466 2.32049457 2.35619449\n", + " 2.39189441 2.42759432 2.46329424 2.49899416 2.53469407 2.57039399\n", + " 2.60609391 2.64179382 2.67749374 2.71319366 2.74889357 2.78459349\n", + " 2.8202934 2.85599332 2.89169324 2.92739315 2.96309307 2.99879299\n", + " 3.0344929 3.07019282 3.10589274]\n" + ] + } + ], + "source": [ + "res = multhop.calc_multhoplift(wing, np.radians(α))" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(res['ys'], res['c_ls']/res['C_L'])\n", + "plt.plot(liftana.calc_ys, liftana.aoa_c_ls, '+')" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([3.70777457e-08, 1.46901193e-01, 2.67615993e-01, 3.73357240e-01,\n", + " 4.64227008e-01, 5.39267676e-01, 6.00532565e-01, 6.49751144e-01,\n", + " 6.89144319e-01, 7.20438438e-01, 7.45290634e-01, 7.64940795e-01,\n", + " 7.80480348e-01, 7.92710065e-01, 8.02313532e-01, 8.09786292e-01,\n", + " 8.15548594e-01, 8.19901143e-01, 8.23100280e-01, 8.25324466e-01,\n", + " 8.26726851e-01, 8.27405555e-01, 8.27442603e-01, 8.26872113e-01,\n", + " 8.25707937e-01, 8.23893025e-01, 8.21265986e-01, 8.19234266e-01,\n", + " 8.20901910e-01, 8.21505045e-01, 8.21449133e-01, 8.20860041e-01,\n", + " 8.19825135e-01, 8.18370035e-01, 8.16516283e-01, 8.14245953e-01,\n", + " 8.11543781e-01, 8.08349005e-01, 8.04602948e-01, 8.00169156e-01,\n", + " 7.94899977e-01, 7.88451410e-01, 7.80379122e-01, 7.69148643e-01,\n", + " 7.80379122e-01, 7.88451410e-01, 7.94899977e-01, 8.00169156e-01,\n", + " 8.04602948e-01, 8.08349005e-01, 8.11543781e-01, 8.14245953e-01,\n", + " 8.16516283e-01, 8.18370035e-01, 8.19825135e-01, 8.20860041e-01,\n", + " 8.21449133e-01, 8.21505045e-01, 8.20901910e-01, 8.19234266e-01,\n", + " 8.21265986e-01, 8.23893025e-01, 8.25707937e-01, 8.26872113e-01,\n", + " 8.27442603e-01, 8.27405555e-01, 8.26726851e-01, 8.25324466e-01,\n", + " 8.23100280e-01, 8.19901143e-01, 8.15548594e-01, 8.09786292e-01,\n", + " 8.02313532e-01, 7.92710065e-01, 7.80480348e-01, 7.64940795e-01,\n", + " 7.45290634e-01, 7.20438438e-01, 6.89144319e-01, 6.49751144e-01,\n", + " 6.00532565e-01, 5.39267676e-01, 4.64227008e-01, 3.73357240e-01,\n", + " 2.67615993e-01, 1.46901193e-01, 2.48824542e-15])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "distribution" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, { "cell_type": "code", "execution_count": null, @@ -144,7 +284,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.5" + "version": "3.6.8" } }, "nbformat": 4, diff --git a/examples/Liftdistribution.pdf b/examples/Liftdistribution.pdf index 6b5d698f2410f4a7dc9ffaf4972b1a1ec8927009..1c6c57e080ca415300476f937e4422f8605fbb59 100644 GIT binary patch delta 4753 zcmZuwc{J30`?h8bjj<&(n6f54^PPRNMOjl>B3qJu3yrmu$vR|TA|hmu!DPu^lBLI< zwUH>1En7ws`sw+d_q@+B@8_@kT<5yC>%Km9G0Y1w%oWYdq>FLKUhsyme3##zW8!Vw zo*IR75MtTc>c);Fo{Mk2qabIPSFP}VV6xA`uFsoVU3tAzWYc`i8C#fs*R1r8_U60w z&9hyLQl~xERtDGmX0C7TwyJk|?F8J5sJ%ndmYV+2uxIi7-h;&zk~pLsayct!L2JlA zP`1(OxrhE?7je=gMLdjHRI45~-LW^3mAWQ49Bpn1dZE&2xkt5BxST~zo0%zh0;iJ| zEm&~xdO1tSt9&|-r zC5z+@jd*<8CbtUFdAg!rkY6_5ryPBn*4nqm+8h(u+_d$peDa#*y}RpsJ;UYVspWx6 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cA?Xr(zExg@yjP1I0slREpd?!?ZRr3102!OyjQ{`u diff --git a/tests/test_multhop.py b/tests/test_multhop.py new file mode 100644 index 0000000..6cb99f0 --- /dev/null +++ b/tests/test_multhop.py @@ -0,0 +1,42 @@ +import numpy as np + +from wingstructure.aero import multhop + + +# test low level functions + +def test_multhop_solve(): + """test multhop_solve with numeric data from schlichting book + """ + + + Λ = 6 # aspect ratio of wing + + b = 15 # m span width + S = b**2/Λ + + cs = np.array([b/Λ]*2) # depth of wing + ys = np.array([0,b/2]) # section positions + + αs = np.array([1]*2) # angle of attack + dcls = np.array([2*np.pi]*2) + + # reference result from Schlichting + ηs_ref = np.array([0,0.3827,0.7071,0.9239,1]) + γs_ref = np.array([0.4320,0.4192,0.3710,0.2485,0]) + + # coarse calculation + M = 7 + + solverinput = multhop._prepare_multhop(ys, αs, cs, dcls, S, b, M) + + calc_ys = solverinput[0] + + γs = multhop._multhop_solve(*solverinput[1:], b) + + assert np.isclose(calc_ys[M//2:]/b*2, ηs_ref[:-1], atol=1e-4).all() + assert np.isclose(γs[M//2:], γs_ref[:-1], atol=1e-4).all() + + +def test_multhop(): + pass \ No newline at end of file diff --git a/wingstructure/aero/liftingline.py b/wingstructure/aero/liftingline.py index 488c384..ee2819b 100644 --- a/wingstructure/aero/liftingline.py +++ b/wingstructure/aero/liftingline.py @@ -42,13 +42,9 @@ def _solve_multhopp(αs, θs, chords, b, dcls, return_B = False): B = Bb + np.diag(Bd) - #print(B) - - #print(B.shape, αs.shape) # calculation of local circulation γs = np.dot(np.linalg.inv(B), αs) - #print(γs) if return_B: return γs, Bb, Bd else: diff --git a/wingstructure/aero/multhop.py b/wingstructure/aero/multhop.py index bf69074..143ec64 100644 --- a/wingstructure/aero/multhop.py +++ b/wingstructure/aero/multhop.py @@ -3,37 +3,40 @@ """ import numpy as np -from collections import namedtuple - - -# Define Pi -π = np.pi +from numpy import pi as π, sqrt, arctan +from collections import namedtuple, defaultdict # Definition of low level functions - _multhop_result = namedtuple('ext_multhopp_result', ('c_ls', 'α_is', 'C_L', 'C_Di')) -def _calcgridpoints(b:float, Λ:float, M:int = None): +def _prepare_multhop(ys: np.ndarray, αs: np.ndarray, chords: np.ndarray, + dcls: np.ndarray, S:float, b:float, M=None): - # calculate number of gridpoints + # calculate aspect ratio + Λ = b**2 / S + + # calculate grid points if M is None: M = int(round(Λ)*4-1) # has to be uneven, not more than 4*aspect ratio elif M%2 == 0: - M += 1 # has to be uneven + M += 1 - # grid points as angle θs = np.linspace(np.pi/(M+1), M/(M+1)*np.pi, M) - - # calculate grid points calc_ys = -b/2 * np.cos(θs) - return θs, calc_ys + # interpolate input values + + αs_int = np.interp(np.abs(calc_ys), ys, αs) + chords_int = np.interp(np.abs(calc_ys), ys, chords) + dcls_int = np.interp(np.abs(calc_ys), ys, dcls) + + return calc_ys, θs, αs_int, chords_int, dcls_int -def _multhop_solve(αs, θs, chords, dcls, b, return_αi=False): +def _multhop_solve(θs, αs, chords, dcls, b, return_αi=False): # number of grid points M = len(θs) @@ -61,6 +64,8 @@ def _multhop_solve(αs, θs, chords, dcls, b, return_αi=False): B = Bb + np.diag(Bd) + print(B) + # calculation of local circulation γs = np.dot(np.linalg.inv(B), αs) @@ -72,18 +77,15 @@ def _multhop_solve(αs, θs, chords, dcls, b, return_αi=False): def multhop(ys: np.ndarray, αs: np.ndarray, chords: np.ndarray, - dcls: np.ndarray, S:float, b:float): - """Low level for multhop quadrature calculation + dcls: np.ndarray, S:float, b:float, M:int=None, do_prep=True): + """Low level function for multhop quadrature calculation The parameters except for S and b have to be numpy arrays of the same length and determine the wing geometry as well calculation grid points. - - Parameters ---------- - ys : np.ndarray span positions at which lift is calculated chords : np.ndarray @@ -96,6 +98,8 @@ def multhop(ys: np.ndarray, αs: np.ndarray, chords: np.ndarray, wing area b : float span width of wing + M: int + number of grid points Returns ------- @@ -105,17 +109,22 @@ def multhop(ys: np.ndarray, αs: np.ndarray, chords: np.ndarray, wing's lift coefficient, induced drag coefficient """ - # number of grid points - M = len(αs) - # calculate aspect ratio Λ = b**2 / S - # multhop quadrature - θs = np.arccos(-2*ys/b) + if do_prep: + solverinput = _prepare_multhop(ys, αs, chords, dcls, S, b, M) - γs, α_is = _multhop_solve(αs, θs, chords, b, dcls, return_αi=True) + γs, α_is = _multhop_solve(*solverinput[1:], b, return_αi=True) + θs = solverinput[1] + else: + M = len(ys) + + θs = np.arccos(-2* ys/b) + print(θs) + γs, α_is = _multhop_solve(θs, αs, chords, dcls, b, return_αi=True) + # calculate lift coefficient distritbution c_ls = 2*b/(np.array(chords)) * np.array(γs) # TODO: Check this formula @@ -128,8 +137,93 @@ def multhop(ys: np.ndarray, αs: np.ndarray, chords: np.ndarray, return _multhop_result(c_ls, α_is, C_L, C_Di) -# Definition of high level functions and object +# Helper functions for high level interface + +class AirfoilData(object): + def __init__(self, alpha0: float = 0, dif_ca_alpha: float = 2*np.pi, cm0: float = 0): + self.alpha0 = alpha0 + self.dif_ca_alpha = dif_ca_alpha + self.cm0 = cm0 + +def _calc_gridpoints(wing, M:int): + + b = wing.span + + θs = np.linspace(np.pi/(M+1), M/(M+1)*np.pi, M) + calc_ys = -b/2 * np.cos(θs) + + return calc_ys + +def _calc_base_α(wing, ys, airfoil_db): + """calculates of geometric and aerodynamic twist""" + + def get_α0(airfoil): + return np.radians(airfoil_db[airfoil].alpha0) + + αs = wing.twists # geometric twist + + αs -= np.array([get_α0(airfoil) for airfoil in wing.airfoils]) + + return np.interp(np.abs(ys), wing.ys, αs) + +def _calc_flap_Δα(controlsurface, ys, η): + + λ_k = 1 - controlsurface.chordpos_at(ys) + + λ_k[ys<0.0] = 0.0 # only consider one of two (symmetric wing) + + η_k = np.full_like(ys, η) + + η_keff = 22.743 * arctan(0.04715 * η_k) + + k = -2/π * (sqrt(λ_k * (1-λ_k)) + arctan(sqrt(λ_k))) + + αs = -(0.75 * k - 0.25 * λ_k) * η_keff + + return αs + + +# Definition of high level functions and analysis object + +def calc_multhoplift(wing, α, controls:dict={}, airbrake:bool=False, airfoil_db:dict=None, options:dict=None): + + # use default airfoil if no database is set + if airfoil_db is None: + #warn('No airfoil database defined, using default airfoil.') + airfoil_db = defaultdict(AirfoilData) + + # calculate grid points + ys = _calc_gridpoints(wing, 87) + + # sum up aoa parts + + # geometric and aerodynamic twist + αs = _calc_base_α(wing, ys, airfoil_db) + + # control surface parts + for name, (η_r, η_l) in controls.items(): + try: + control_surf = wing.flaps[name] + except: + raise Exception('control surface "{}" not defined in wing!'.format(name)) + + #αs += _calc_flap_Δα(control_surf, ys, η_r) + #αs += _calc_flap_Δα(control_surf, ys, η_l)[::-1] + + # - airbrake + if airbrake: + #αs += np.where(wing.within_airbrake(ys), -12.0, 0.0) + pass + + # add aoa + αs += α + + # interpolate chord lengthes + chords = np.interp(np.abs(ys), wing.ys, wing.chords) -def calc_multhoplift() + # determine lift slope + dcls = np.full_like(chords, 2*π) #TODO: make adaptable + res = multhop(ys, αs, chords, dcls, wing.area, wing.span, do_prep=False) + return {'ys': ys, 'c_ls':res.c_ls, 'C_L': res.C_L, 'C_Di': res.C_Di} \ No newline at end of file diff --git a/wingstructure/data/geometry.py b/wingstructure/data/geometry.py index 24a7461..e50492b 100644 --- a/wingstructure/data/geometry.py +++ b/wingstructure/data/geometry.py @@ -372,7 +372,7 @@ def chordpos_at(self, span_pos: float): """ return np.interp(span_pos, [self.y_start, self.y_end], [self.chord_start, self.chord_end], - right=-1.0, left=-1.0) + right=0.0, left=0.0) def __lt__(self, other) -> bool: return self.y_start < other.y_start From d9690dcc2efed5379ba9817aedfdbd1f61c7e060 Mon Sep 17 00:00:00 2001 From: helo Date: Tue, 26 Feb 2019 19:03:13 +0100 Subject: [PATCH 03/11] remove debug messages --- examples/Analysis_Example.ipynb | 98 +++++++++++--------------------- examples/Liftdistribution.pdf | Bin 18154 -> 18154 bytes wingstructure/aero/multhop.py | 6 +- 3 files changed, 36 insertions(+), 68 deletions(-) diff --git a/examples/Analysis_Example.ipynb b/examples/Analysis_Example.ipynb index d84a9c0..dc5b465 100644 --- a/examples/Analysis_Example.ipynb +++ b/examples/Analysis_Example.ipynb @@ -90,21 +90,10 @@ "name": "stdout", "output_type": "stream", "text": [ - "[0.03569992 0.07139983 0.10709975 0.14279967 0.17849958 0.2141995\n", - " 0.24989942 0.28559933 0.32129925 0.35699917 0.39269908 0.428399\n", - " 0.46409891 0.49979883 0.53549875 0.57119866 0.60689858 0.6425985\n", - " 0.67829841 0.71399833 0.74969825 0.78539816 0.82109808 0.856798\n", - " 0.89249791 0.92819783 0.96389775 0.99959766 1.03529758 1.0709975\n", - " 1.10669741 1.14239733 1.17809725 1.21379716 1.24949708 1.28519699\n", - " 1.32089691 1.35659683 1.39229674 1.42799666 1.46369658 1.49939649\n", - " 1.53509641 1.57079633 1.60649624 1.64219616 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0.10709975 0.14279967 0.17849958 0.2141995\n", - " 0.24989942 0.28559933 0.32129925 0.35699917 0.39269908 0.428399\n", - " 0.46409891 0.49979883 0.53549875 0.57119866 0.60689858 0.6425985\n", - " 0.67829841 0.71399833 0.74969825 0.78539816 0.82109808 0.856798\n", - " 0.89249791 0.92819783 0.96389775 0.99959766 1.03529758 1.0709975\n", - " 1.10669741 1.14239733 1.17809725 1.21379716 1.24949708 1.28519699\n", - " 1.32089691 1.35659683 1.39229674 1.42799666 1.46369658 1.49939649\n", - " 1.53509641 1.57079633 1.60649624 1.64219616 1.67789608 1.71359599\n", - " 1.74929591 1.78499583 1.82069574 1.85639566 1.89209558 1.92779549\n", - " 1.96349541 1.99919533 2.03489524 2.07059516 2.10629507 2.14199499\n", - " 2.17769491 2.21339482 2.24909474 2.28479466 2.32049457 2.35619449\n", - " 2.39189441 2.42759432 2.46329424 2.49899416 2.53469407 2.57039399\n", - " 2.60609391 2.64179382 2.67749374 2.71319366 2.74889357 2.78459349\n", - " 2.8202934 2.85599332 2.89169324 2.92739315 2.96309307 2.99879299\n", - " 3.0344929 3.07019282 3.10589274]\n" - ] - } - ], + "outputs": [], "source": [ - "res = multhop.calc_multhoplift(wing, np.radians(α))" + "res = multhop.calc_multhoplift(wing, 2.1)" ] }, { @@ -189,7 +156,7 @@ { "data": { "text/plain": [ - "[]" + "[]" ] }, "execution_count": 6, @@ -198,9 +165,9 @@ }, { "data": { - "image/png": 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\n", 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iz/DJjZp/qNXx5k7VtnTpeHNXNjmr6fF2JN7drpf5P1wU9KmiKJA9a7OiuMfbRUFV9ng/nBkBDzjdMNZ45otNevZgg+584qAeeaVWfq9Hbzt/uj6+ar7mVhSOX6x5jKQtzyWTRvc+e1hfefgVdUQTetPSKfrI5fN03swy2h+BIUTiCZ1MH9CaXRT2szjMTOjqqTp0vd426SHNKA9rRnqITObt6WUFpzfQZyAkbbDbKP7uRuNJHW9ODbQ40tiRft399tORt5+y7yrg9WhyaVBTSwpST6aUhjS5pPv1pPSZXbR9IS+NsH1y/9Kb9d9PHtRvtx2RMdJNq+brE6vnD76NAGeMpC2PvVLTos/9z4vafrhJl8yfqC+/danmVRb1fzGLPuC0GGPU0hlXTUtXr2f+z9nzHf04eJ2OpA+E7bsHprI42CuRm1FeoBv+eK4O3XxM08vSE9QGc6bVCp6IwUCG+7txmr+DyaRRTUuXquvbdclP5+s/L3m2V1JW09LVaziGx5Kmlqan55YXaG3LPTq47NPZyvaUkpAmFAaoigGna4A14InWLv3rgy/r/p3HNK+iUP/6tmW6eP5EGwLMDyRteagzmtA3H3lVP3zigEoK/PrCmxfrbcuny3pskIMwSdqAMZNIGtW1RvRaY0dqYdqQrhw0pRapx9JJXaaFy++1NHNCWHMnFqYPrE+9zKko1NSS0Kl76hh6gtE0Cr9PxhjVtUV0sK5d1ZlDgOvbdbC+XYca2rNnVN7i+42+lVirqaWphGxmP5XpKaUhzpUCxtJg/+c3b9SW6R/WF+57Ua81dGrtBTP0uWsWa0JhYHxjzAPDTdp8w/hEd0n6O0knjDFL+/m4Jembkq6R1CHpRmPM9pGHjDPx2J4T+pf7X9JrDZ1618oZWv+mxSrP/MfaMkjSVrVu/IIE8ozXY2X3vV04Z8IpH08kjU60dunwyddrao8FbvXJdj25r77X3pygz6PZE8PZJG7uxEK9R1JLVyx1PMdYojrnPGP8M+uIxrXvRJvOlfSfm/boQH176ne3vl3t0e624Z5PRFy+sCL7ZMSsCav1SZIywF6DrQG33K6qDeu16ZYqffvRV/WDxw/okZdr9fk3L9E7Vkynwm2DISttlmVdIalN0k8GSNqukXSzUknb6yR90xjzuqG+MJW20ZFMGn3l4Vf0/ccPaF5lof7tbcv0+nl9Stg8sw44Ts9WsoMn23tULtp1uKGjV4VuSklICycXadHkYi2aXKSFk4u1cFJR9+htu6Zbwj6jNJ2xK5bQvhNt2lvbqr21bXq1tlV7T7TqSGOnjOmumM0oD3dXhieGNaeiUPMqijStLDR0yy+A3NPnMWRPTas+97sXte1Qo9587lT95zvP63+PNkZsVNsjLcuaI+kPAyRt35f0mDHm5+n390haZYw5PtjnJGk7c12xhP7xVzv10Is1uuF1s3TrW5Z0bxYdjcl0AHJSPJHU0aZOvVrbpr0nWlOva1u170Rbr+rctNKQFvZI5BZNLtb5/z2blsp8MMKfWSSeUPDLE3T/W3f3StAONXRk95n5vZbmVhSmfpcmZX6vijRrQqECPhIzwPGGWDsmk0bfe3y//v3hPbpgdrnufP9K2iVHwXgmbX+QdLsx5sn0+49I+qwx5pSMzLKsj0r6qCTNmjXrgkOHDg35tdG/k20RffgnW7XztSZ97k2L9eHL5w5cqmbBBeSFRNLotYYO7a1t1as9qiP769qyh5JXh67XlSUPaNn0Up0zvVTLppdqybQSFQX7dMuPxhM/tFWeuZHch8P8mXXFEnqlplUvHW1OvRxr1p6aVr3qv05zuu6V15NKzhZNLtLCScXZCu6cikLaGYF8Mcja8cEXjusffrVT00pDuvsDF3E0wBkaz6TtQUkb+yRt/2yM2TbY56TSdvr217XpA3c/p9qWLn3j3efrTcumDv4PSNqAvBZPJHW4oUN7a9tU+sxX9UPvu/Xi0WadaI1IkixLmltRqKXTStPJXImWTi/t3ivHkQT2OcP7vjOa0O7jLdkE7cWjzXr1RJsSydTf/rKwX0unlWrp9FK9rfkn0qr1mltB5QzIe0M89mw71KiP/GSrksbozvev7HffNoZn1AaRDMMRSTN7vD9D0rFR+LzoxzMHTuqj92yTz2Pp5x99vVbMKk99YLBnYxk2AuQ1n9ejeZVFqaM/ln5VF6dvP9HSpZeONeuloy168WiztlY36IHnux++50wM65zppbpD0tbqBi2dXsoehhwWTyT1Sk2rtlY36EZJV319i/adaFM6P9PEwoCWTi/VGxdPSiXn00o1o7ygR5fGv9kUOYCcM9jacfNGXbB6vX73iUv0gbuf0w13PqP/eOe5WnP+9PGLLw+NRqXtzZI+pe5BJN8yxlw01Oek0jZyf3zxuP7PL3Zq5oQC3X3jRZo1Mdz9QZ7RBjAK6tsi2nWsd2Vmbes9+kZ8rQJej86dUaoL5pTrwtkTdMHs8u4ptRnspz1zw7wP2yJx7TjcqK3Vjdp6qEE7DjepIz258fPh+/TXWR/NtsAunV6iKSUhJr4BOHM91pxNHVF99J5tevZggz5/zWJ95Ip5NgfnPKPWHmlZ1s8lrZJUIalW0hcl+SXJGPO99Mj//5J0tVIj/z/Q3362vkjaRmbboUZdd+dftXRaie6+8SKVhvuM+CZpAzBGTrZFtO1Qo7YdatRz1Q168Whz9tDwBZOKtHJ2uVbOmaCVs8s1e2K4OzE4ncclN++DO53vrcd9WNPcpeeqG7I/h5ePtyhpUodQnz2lRBfOKdcF6Z/DtLKCMfgGAECnPLZH4gn94y+f14MvHtd/Xb9cf3fuNBuDcx4O13aRI40deusdTykc8Om+T17aPamHZ7QB2KArltALR5qzCcTW6ga1dMUlSRVFwXQSV64PP7Jc5otNI6vuuPkJqBF8b8YYHaxv17w7puuWsx/Tc9WNOtrUKUkq8Hu1fFZZNlFePqus+3gHABgLQ6w5I/GEbrjzGb14tFm//NjFOn9m2fjH6FAkbS7RFolr7Xf/oqNNnfrdJy7RgknF/V/o5oUOgJyWTBrtq2tLJXHVjXruUINea+jULb7f6GcFN6hqUaWqFlXq8oUVKgsPMR7azY9lQ3xvHdG4nt5/Uo/tqdOWvXU63NCRvQ8vnFOulbMnaOWcci2eWsIURwD2GeCx7GRbRGvueEqReFL3f/JSKv7DRNLmAomk0cfu2arNe+p0940X6opFlQNf7OaFDgDHqWnu0pP76vXYnhN64tV6NXfG5LGk82eWadVZk1S1qFLLppfK47Hc3TUwyPdmVq3TvhNt2STt2YMNiiaSKvB7demCielEt7J3yykA2G2QNefe2la9/Tt/0awJYf364xersO9xMjgFSZsL/NtDL+sHjx/QbWvO0fsvnjP4xW7eBwLA0RJJo52vNWnL3jpt2XNCLxxtljHShMKArlhYoaqzKnXFwkpNLAq6+wmoDaVqXVevp/ad1Ja9dXp8b1225XHR5CJVLarUqrMmaeWccgV9TOkEkKOGWHNu3nNCH/rRc/qbxZP1vfdekHpyDgMiaXO4Xz53WJ/97Yt6/8WzdduaHkM7Sc4AONzJtoieeLU+m7icbI/KsqRl00v1QP2b9epNR7Rw8gCt4AMZz8fGEX6tI40devCF4/rY5hVaEP254kmjoqBPly6YqFVnTdIViyo1nTYiAE7X47HxricP6rY/7NbHq+Zr3ZvOtjmw3EbS5mBbqxt03Z1/1evnTdTdN14oX8+9C25+FhpA3kkmjV461qwte+r02N46XXH0Tn09vlaLp5ZozfnTdO1504a3L2I8HxuH8bUa2qN66MXjun/nUT1X3ShJ+nLZ73X0/FtUtahSF8wuZ18aAHfp8dhojNHn73tJ9z5zWN949/l663LOcBvIeB6ujVEUjSf12d++oCmlIf3X9St6J2wA4DIej6VzZ5Tp3BlluvmNC1XXeoFKXzim+3Ye0+1/fEW3//EVXTR3gtacP01vXjZ16EEmNuqIxvXn3bV6YOcxbdlbp3jSaOGkIv3T356lt5w7TbMmvtnuEAFgXFiWpf937TnaW9OqLz6wS5cvrEi1wOO0UWnLMd99bL++8vAruvvGC7X67EmpG928SR8ABnDoZLse2HlM9+08qv117fJ7LVUtqtS150/XlYsnq+Cpfx+/x8YBHocTV3xWj0/7sO7beVSbdtWqM5bQ1NKQrj1/mtacN12LpxYzRASAew2xRt1b26prvvmE3r5iuv597XnjH58D0B7pQEcaO3Tl1x7X5Qsr9IP3D/Czoz0SQJ4xxmjXsRY98PwxPbDzmGpauhQOePW350zRtedP02ULKuT/Uvm4tkduvfGg7t95TA++eFwN7VGVhf26ZtlUrTlvmi6cM4GN9wDyzwBr1I0PvazvP35Av/n4xVo5Z4INgeU22iMd6Lbf75Yk3fqWJTZHAgC5w7IsLZ1eqqXTS/XZq8/Wswcb9MDzR/XgC8f1ux1HNbEwoG2STrR2aVJxaMziaO2K6SdPH9InJa393tMK+T26cskUrTlvmq5YVKmAj3Z2AOjr029cqAeeP6Yv3PeS/nDzZWz9OU0kbTni0VdqtWl3rf756rM0ozw88IVV68YvKADIMV6PpYvnT9TF8ydqw7XnaMueOt2386i++fLb9Z2vbNb1r5ulj10xX1NKRy95a+6M6UdPVeuupw6quTOmqZXv1dfXnKcrl0xREWcQAUDKAGvUwqBPt/7dEt30s+368dOH9KHL5o5zYO5Ae2QO6IoldOXXtyjg9eiP/+cKnq0FgBGqrm/XHZv36Xc7jspjWXr3hTP18VXzhx6lP8j4/sb2qO566qB+9FS1WiNxXblksj79hoVaNqN0DL4DAHAvY4xuvPs5bTvUqEc+U6XJJWPXFeE07GlzkK/9ea++9ciruvcjr9Ml8yvsDgcAHOu1hg5957H9+s221yRJay+YoU+sWqCZEwboYOhnD0Z9W0Q/fOKg7nm6Wh2xhN60dIo+tXqhlkwrGePoAcC9quvbddU3HtffnjNF375uud3h5IzhJm2UdGx2sL5d33tsv9acP613wrZ5o31BAYBDzZwQ1sa3L9OWf1qt6y6apd9uP6pVX31M//fXz+tgffug//ZES5e+/Ifduuwrj+r7j+/XGxdP1p9uuULfueECEjYAOF3pNe2cikLdVDVfv3/+mJ7aV29zUM5Dpc1mN979rLZVp0rFk3qWipkSCQBnrLalS9/fckD3PntI0XhSbzlvmm4tul8Tt379lGu/nXyHvhFfqzXnT9MnVy/Q/MoiGyIGAJfpsabtiiV01dcfl89radMtVzCUREyPdIRdx5r12J46/fPVZ/VO2AAAo2JySUi3vmWJblo1Xz984oDu+eshPRC7UNcsTQ0tufSn87Uo9gsljdE7VszQo6vna/bEQrvDBgBXCvm9+tw1Z+vjP92uTbtrdc2yqXaH5BgkbTa6+6lqhQNe3XDR7NQNfQ8o3JDe7M4h2gBwRiqLg1p/zWJ9rGq+/vvJA/rxXw7pwRePqzokvXPlDH28av7A+94AACMzyJr2yqp1mjUhrLuePEjSNgK0R9qkrjWiS29/VO+5aKZuW7P01AtojwSAMdPcEdOje2r1NzV3qfhNt9odDgC4Vz9r2ruePKjb/rBb93/yUp03s8ymwHIDg0hy3M+eOaRoIqkbL5ljdygAkHdKw369bfkMEjYAsME7V85QUdCnu586aHcojkHSZoNIPKGf/vWQ3nD2JM0baKM7h2gDAADA6fpZ0xaH/HrXypn6wwvHVdvSZUNQzkPSZoPfP39c9W1RffDSQU6EZw8bAAAAnG6ANe2Nl8xRwhjd8/ShcQ7ImUjaxpkxRnc9eVCLJhfp0gUT7Q4HAAAAGHezJoZ15eLJ+tkzh9QVS9gdTs4jaRtnzxxs0O7jLfrgpXNlWZbd4QAAAAC2+OBlc9XYEdPvdhy1O5ScR9I2zu568qDKw369dfl0u0MBAAAAbPO6uRO0ZGqJ7nryoOyaaO8UJG3j6PDJDv355Vrd8LrZCvm9docDAAAA2MayLH3wsrl69USbntxXb3c4OY2kbRz96C/V8lqW3nfx7N4f2LzRnoAAAACA8dZj7fuW86ZVAGz3AAAgAElEQVSqoiiou55k/P9gSNrGSSyR1G+3H9Gblk3V5JJQ7w/2PDEeAAAAcLMea9+gz6vrXzdLm/fUMf5/ECRt4+TZgw1q7ozp786dancoAAAAQM54S3p9/OfdtTZHkrtI2sbJpl01Cvk9umJhZeqGzRulDaWpF6n7bVolAQAA4DaDrH0XTCrS3IpCbSJpG5DP7gDygTFGm3bX6vKFlSoIpAeQrF7ffdjghlJpQ7N9AQIAAABjaZC1ryXpqiWTdddTB9XSFVNJyG9PjDmMSts4eOloi443d+mqJZPtDgUAAADIOVedM1mxhNFje+rsDiUnkbSNgz/tqpHHkt64eICkrWrd+AYEAAAA2KWfte/ymeWqKArqT7tqbAgo95G0jYNNu2t00dwJmlAY6P+CTKkYAAAAcLt+1r4ej6Url0zWY6+cUCSesCGo3EbSNsYO1rdrb22brloyxe5QAAAAgJx11TmT1R5N6C/7T9odSs4haRtjf96dKvFeyX42AAAAYECXzJ+owoBXm3YxRbIvkrYxtmlXrZZMLdHMCWG7QwEAAAByVtDn1aqzJ+nPu2uVTBq7w8kpJG1jqK41om2HG3XVOVTZAAAAgKFctWSy6tsi2vFak92h5BSStjH0yMu1MkbsZwMAAACGYfXZk+T3Wtq0mymSPZG0jaFNu2s1o7xAi6cW2x0KAAAAkPNKQn69ft5EbdpVK2NokcwgaRsjbZG4ntxXr6uWTJFlWXaHAwAAADjCVedM0cH6du2va7M7lJxB0jZGnthbp2g8eep+ts0b7QkIAAAAyFU91shXLk6tnzftZopkBknbGHm2ukEhv0cXzC7v/YEtt9sTEAAAAJCreqyRp5SGtGhykZ492GBjQLmFpG2MbD/cpHNnlMnv5S4GAAAARmLFrHLtONzEvrY0Moox0BVLaPexZi2fVZa6YfNGaUNp6kXqfptWSQAAAOSrQdbIy2eVqbkzpgP17fbGmCN8dgfgRi8dbVYsYbRiVro1cvX61IuU/mVsti84AAAAIBcMskZeUdsqSdp+qFHzK4vsiC6nUGkbAzsOpw4DzCZtAAAAAIZtfmWRikM+bT/MIdsSSduY2H64UTMnFKiyOHjqB6vWjX9AAAAAQC7rs0b2eCydP7NMOw432hRQbiFpG2XGGG0/3DhwlS1TAgYAAACQ0s8aecWscu2tbVVbJG5DQLmFpG2UHWvuUm1LRMtnltkdCgAAAOBYK2aXK2mk51+jRZKkbZRlSrgr+p7PBgAAAGDYzk8XQbYfokWSpG2UbT/UpJDfo8VTS+wOBQAAAHCs0gK/Fkwq0nb2tZG0jbbthxt17nQO1QYAAADO1IpZZdrxGodsk1mMokg8od3HWroP1QYAAABw2lbMKldTR0wH8/yQbZK2UfTS0RZFE0kt53w2AAAA4Ixl5kTk+3ltJG2jqHsICZU2AAAA4EwtqCxScdCX9/vaSNpG0fbDjZpRXqBJxSG7QwEAAAAcz+OxdP6sMu2g0obRsuNw08CHagMAAAAYseWzyrWnpiWvD9kmaRslx5s7dby5iyEkAAAAwChaMatMSSO9kMeHbJO0jZLth1K/RFTaAAAAgNGzfGZmGEn+7msjaRslu483y+exeh+qvXmjfQEBAAAATpZeS5eG/Zo9Mazdx1tsDsg+JG2j5EBdu2ZNDCvg63GXbrndvoAAAAAAJ+uxll5QWaQDdfl7VhtJ2yjZX9em+ZVFdocBAAAAuM78SUU6UN+uRNLYHYotfHYH4AbxRFLV9R16w9mTU2XcnhW2DaWp11XrpNXr7QkQAAAAcIIB1tLXLrxJP4hfrqONnZo1MWxTcPYhaRsFRxo7FU0kNa+yUFq5vjs521AqbWi2NzgAAADAKVb3v5burG6QXnxa++va8jJpoz1yFByob5Mk2iMBAACAMZBZZ++va7M5EnuQtI2C/SdSmyLnVxb2/kDVOhuiAQAAAFygx1p6QmFA5WG/9ufpMBKStlGwv65NFUUBlYUDvT/AHjYAAADg9PRZS8+vLKLShtO3v65N82iNBAAAAMbM/MoiHSBpw+k6UNd+amskAAAAgFEzr7JQ9W1RNXfE7A5l3JG0naHG9qhOtkcZQgIAAACMoewwkvr8q7aRtJ0hJkcCAAAAY2/+pHTSdoKkDSPUPTmSpA0AAAAYKzPLC+T3Wnk5QZKk7Qztr29TwOfR9PICu0MBAAAAXMvn9Wj2xMK8HEZC0naG9p9o19yJhfJ6LLtDAQAAAFxtfmVhXo79J2k7Qwfq2jR/EpMjAQAAgLE2v7JIh052KJZI2h3KuCJpOwPReFKHGjrYzwYAAACMg/mVRYonjQ43dNgdyrgiaTsDhxvalUgazeOMNgAAAGDMZdbd+TZBkqTtDGQm11BpAwAAAMbevPS6+0B9fk2QJGk7A5lNkPNI2gAAAIAxV1rgV2VxkEobhm//iXZNKQmpKOizOxQAAAAgL+TjBEmStjOwn8mRAAAAwLiaX1mk/XXtMsbYHcq4IWk7TcYYHahr07wKWiMBAACA8TKvskjNnTE1tEftDmXckLSdpqaOmFq64ppT0aPStnmjfQEBAAAAbpZea8+tCEuSqk/mzzASkrbTdLy5S5I0rTTUfeOW222KBgAAAHC59Fp7ammBJKmmOWJnNOOKpO001bakkrbJPZM2AAAAAGNqSklq/V2TXo/nA8YenqZMpW3h7m9Ld/1n9wc2lKZeV62TVq+3ITIAAADAJTZv7N3NtqFU5ZI+E3iHaprn2hbWeCNpO001LV3yWFLBlV+Qrr41deOGUmlDs72BAQAAAG6xen13IaTHWvs3/7FZ57bQHtmLZVlXW5a1x7KsfZZlrevn47Msy9psWdYOy7JesCzrmtEPNbfUNHeqsjgon5cOUwAAAGA8TSkJqaa50+4wxs2QGYdlWV5Jd0h6k6Qlkq6zLGtJn8u+IOlXxpjlkt4j6TujHWiuqWmJZPtps6pOyWcBAAAAjIYea+0ppaG82tM2nDLRRZL2GWMOGGOikn4haU2fa4ykkvTbpZKOjV6IuammuVNT+g4hYQ8bAAAAMDZ6rLWnlIZU2xzJmwO2h5O0TZf0Wo/3j6Rv62mDpPdalnVE0kOSbh6V6HJYTXPXqZU2AAAAAGNuSklI0UQybw7YHk7SZvVzW9+U9jpJPzLGzJB0jaR7LMs65XNblvVRy7K2Wpa1ta6ubuTR5oiOaFwtXXFNSZ8RAQAAAGD8TE13vGUmurvdcJK2I5Jm9nh/hk5tf/yQpF9JkjHmaUkhSRV9P5Ex5gfGmJXGmJWVlZWnF3EOqEn/ckwpDdocCQAAAJB/Jqc73mrzZF/bcJK25yQttCxrrmVZAaUGjTzQ55rDkt4oSZZlLVYqaXNuKW0ImaRtMu2RAAAAwLibQqWtN2NMXNKnJP1J0stKTYncZVnWbZZlXZu+7DOSPmJZ1vOSfi7pRuPiXYGZSTVTaY8EAAAAxl1lUVAeK38qbcM6XNsY85BSA0Z63nZrj7d3S7p0dEPLXZmkjUEkAAAAwPjzeT2qLA5mO+DcjpOhT0NNc5dKC/wqCHjtDgUAAADIS1NKC/LmrDaSttPAuH8AAADAXlNKqLRhEDUtXacerA0AAABg3EwtLSBpw8CotAEAAAD2mlwSUmskrrZI3O5QxhxJ2wjFEknVtUWotAEAAAA2yhywnQ/VNpK2EaprjcgYkbQBAAAANsqnA7ZJ2kYoc4AfSRsAAABgn6l5dMA2SdsI1XJGGwAAAGC7TBGFShtOkcnkp1JpAwAAAGwT8ntVFvbreHOn3aGMOZK2Eapt6VLQ51Fpgd/uUAAAAIC8NqUkpJrmiN1hjDmSthE63pw6o82yLLtDAQAAAPLa5JKQalqotKGPWs5oAwAAAHLC1FIqbejH8ZZOJkcCAAAAOWBySUj1bRFF40m7QxlTJG0jYIxRbQsHawMAAAC5IDMc8ESruydIkrSNQGNHTNF4kvZIAAAAIAdMzpOx/yRtI5D5ZZjcM2nbvNGmaAAAAIA8lV6DTy5Orcvdvq+NpG0EGjuikqTycKD7xi232xQNAAAAkKfSa/AJhal1eVNn1M5oxhxJ2wg0dcQkSeWFnNEGAAAA2K0snFqXZ9bpbuWzOwAnyVTaZuz8pvTXr3Z/YENp6nXVOmn1ehsiAwAAAFxu88beXW4bShWS9H8Da9XY/hnbwhoPJG0jkMngfW/8nHT1v6Ru3FAqbWi2MSoAAAAgD6xe310g6bEG/9nGR3Rpp7srbbRHjkBTR1QFfq9Cfq/doQAAAACQVBYOqKmDPW1Ia+yIZftms6rW2RMMAAAAkK96rMHLw341unxPG0nbCDR1xFTWc3KkxB42AAAAYLz1WIOXhf1U2tCtqSOq8r6VNgAAAAC2SbVHUmlDWlNnP+2RAAAAAGxTVuBXU2dMxhi7QxkzJG0j0NQRPbU9EgAAAIBtysMBJZJGrZG43aGMGZK2YTLGqKkjRnskAAAAkEOyB2y3u7dFkqRtmNoiccWTRmUFVNoAAACAXJHphGvqdO8wEpK2YcpsbmRPGwAAAJA7Mp1wbh77T9I2TI3pMaLsaQMAAAByR7bS5uKx/yRtw5SptLGnDQAAAMgd2T1tVNpApQ0AAADIPWUFmfZIKm15jz1tAAAAQO7xeT0qDvmotKFH0lZA0gYAAADkkrKwnz1tSJVbi0M++bzcZQAAAEAuKQ8HmB4JqbkzRmskAAAAkIPKwgE1dZK05b3GjqjKGUICAAAA5JyyAtojodRhfUyOBAAAAHJPedivxnaStrzX3BFlCAkAAACQg8rCAbV0xZVIGrtDGRMkbcPU2BHjYG0AAAAgB2VmTzS7dF8bSdswJJJGLV0xldIeCQAAAOSczOwJtx6wTdI2DC2dMRkjKm0AAABADspU2tx6wDZJ2zBkMnamRwIAAAC5JzMw0K0TJEnahiFzUF8plTYAAAAg52Q64tx6wDZJ2zA0d1JpAwAAAHIVlTaosT2VsbOnDQAAAMg9xUGfPBZ72vJaZk9bWQGVNgAAACDXeDyWysIBpkfms+bOmDyWVBzy2R0KAAAAgH6Uhf1q4py2/NXYEVVZOCCPx7I7FAAAAAD9KCvws6ctnzV1xFRWwH42AAAAIFeVhwPsactnTR2x7IF9AAAAAHJPGUlbfmvqjGbHiAIAAADIPWVhP4NI8llrV7z3EJLNG+0LBgAAAEBvmzeqOORTRzShRNLYHc2oI2kbhvZIQoXBHknbltvtCwYAAABAb1tuV1F6vd4RjdsczOgjaRuGjmhchQGv3WEAAAAAGEA4kEnaEjZHMvpI2oaQTBp1RBN6Q81d0obS1IvU/TatkgAAAMD427yx1/r8+j8uU3Xoevmf+IrNgY0+ToseQkcslam/tPATuvhDX03duKFU2tBsY1QAAABAnlu9PvUiSRtK9b/v2qsP/2Srfn/eZZpgb2SjjkrbEDoiqZ7YcJD2SAAAACBXZdbr7expyz9t6aStMNCjKFm1zqZoAAAAAJyial12vd4eIWnLO5mNjL2mR2bKsAAAAADst3p9dr3eziCS/NNdaaM9EgAAAMhVhZn2SCpt+SdzzkM4yMwWAAAAIFeFaY/MX+2RVHm1iEEkAAAAQM7KdMZxTlseymTq4QCVNgAAACBX+bweBX0eKm35KLORsZCkDQAAAMhphUEfI//zEee0AQAAAM5QGPSqI0J7ZN5pi8YV8Hnk93JXAQAAALmsMODLTn93EzKRIXREEoz7BwAAABwgHPAyiCQftUfjvQ/WBgAAAJCT2NOWp9ojcYaQAAAAAA5QGPAxPTIfdUQTDCEBAAAAHCAc9GbPWXYTkrYhtEXiKqI9EgAAAMh5RbRH5qeOSEJhBpEAAAAAOS8c8DHyPx8xiAQAAABwhqKgV9FEUtF40u5QRhVJ2xAYRAIAAAA4Qzi9bu9wWYskSdsQ2hlEAgAAADhCYXrd3u6ys9pI2gYRS5dWi6i0AQAAADkvs62pw2Vj/0naBpHZxBhmTxsAAACQ8zLbmtpI2vJHZlxoIdMjAQAAgJyXmfreQXtk/shsYGR6JAAAAJD7Muv2dipt+aMt3R5ZyCASAAAAIOdlkzamR+aPzAbGMINIAAAAgJyX2dbU7rIDtknaBpHZwFhEeyQAAACQ82iPzEOZDYxhBpEAAAAAOa/AzzlteaedQSQAAACAY3g8lsIBL+e05ZNMWZWkDQAAAHCGwqCPQST5JLOBMVNmBQAAAJDbCgPe/BxEYlnW1ZZl7bEsa59lWesGuOZdlmXttixrl2VZ945umPboiMZV4PfK67HsDgUAAADAMIQDvux5y24xZN+fZVleSXdIulLSEUnPWZb1gDFmd49rFkpaL+lSY0yjZVmTxirg8dQWSdAaCQAAADhIUdCXnQLvFsOptF0kaZ8x5oAxJirpF5LW9LnmI5LuMMY0SpIx5sTohmmPjmicg7UBAAAABwkHvdkp8G4xnKRtuqTXerx/JH1bT4skLbIs6ynLsv5qWdbV/X0iy7I+alnWVsuyttbV1Z1exOOoPZLgYG0AAADAQQoDvrw8p62/DV2mz/s+SQslrZJ0naQfWpZVdso/MuYHxpiVxpiVlZWVI4113LVH4iqi0gYAAAA4RmEwPweRHJE0s8f7MyQd6+ea+40xMWPMQUl7lEriHK0jGqfSBgAAADhIOJCfI/+fk7TQsqy5lmUFJL1H0gN9rrlP0mpJsiyrQql2yQOjGagd2iJxFTGIBAAAAHCMomCqPdKYvs2BzjVk0maMiUv6lKQ/SXpZ0q+MMbssy7rNsqxr05f9SdJJy7J2S9os6Z+MMSfHKujx0hFNKBygPRIAAABwinDQq6SRIvGk3aGMmmGVkYwxD0l6qM9tt/Z420j6x/SLa7RH4oz8BwAAABykML29qT0SV8jvjgLMsA7XzkfGGCptAAAAgMNkii5uGkZC0jaAeNIonjQqyGTnmzfaGxAAAACAwW3eqJA/leJ0xUnaXC/TAxtM/9C15XYbowEAAAAwpC23K+hLFV0iMffsaSNpG0AklsrMMz90AAAAALkv6EulOBEXVdqYsjGASDypW3y/0d9vul7alL5xQ2nqddU6afV622IDAAAAkLZ5Y6+uuCvuXaDqkPTatk9Lc75kY2Cjh0rbAKLxpL4RX6vfrdklbWhO3bihOfVCwgYAAADkhtXru9fpknZ+6JDmdN2rfefcbHNgo4ekbQDZPW20RwIAAACO4cb2SJK2AWR+yJkfuqrW2RgNAAAAgCFVreuRtDGIxPVOqbTREgkAAADkttXrFcgkbUyPdL/MDzk78h8AAABAzsuO/Kc90v0yP+SAl7sIAAAAcIpM0YX2yDxwyuHaAAAAAHIee9rySPcgEqZHAgAAAE6R6ZSLxGiPdL3snjYfdxEAAADgFJZlKejzKJKg0uZ63dMjuYsAAAAAJwn6PEyPzAfR7J422iMBAAAAJwn6vexpywenHK4NAAAAwBGCPg8j//NBJJ6Ux5J8HsvuUAAAAACMQMDnodKWDyLxpII+ryyLpA0AAABwkqDPy562fBCJJTijDQAAAHAg2iPzRCSezJ7xAAAAAMA5grRH5odIPEmlDQAAAHCgoN+bnQbvBmQlA4jEEwr6GPcPAAAAOA2VtjwRiSUZ9w8AAAA4EHva8kRqeiR3DwAAAOA0TI/ME9H0yH8AAAAAzhL00x6ZFyJxRv4DAAAAThTw0h6ZF2iPBAAAAJyJSlueiNAeCQAAADhS0Jca+W+MsTuUUUHSNoBILEGlDQAAAHCgzDreLdU2spIBROJJBUjaAAAAAMfJJG3RBEmbq9EeCQAAADhT0J9ax7tl7D9J2wCYHgkAAAA4U3d7pDsmSJKV9CORNIolDHvaAAAAAAdiT1seiKZ/uLRHAgAAAM6TTdpoj3Sv7qSNuwcAAABwmkzxhfZIF8v8cNnTBgAAADgP7ZF5IEJ7JAAAAOBYmeILSZuLZStttEcCAAAAjpMpvkRJ2tyrK8aeNgAAAMCpGPmfB7LtkX7aIwEAAACnyQ4iYXqke2Uy8oCXuwcAAABwGva05YHuSht3DwAAAOA0tEfmgQh72gAAAADHCjDy3/26p0eypw0AAABwmsw2J/a0uVg0TqUNAAAAcCqf1yOfx6I90s3Y0wYAAAA4W9DnoT3SzbJJG+2RAAAAgCMF/V4O13az7j1t3D0AAACAE6UqbbRHuhbTIwEAAABnoz3S5SLxpAI+jyzLsjsUAAAAAKch6PMyPdLNIvGEgl7uGgAAAMCpgn7aI10tEk8yORIAAABwsICX9khXi8SSTI4EAAAAHCxVaSNpc61IPMEQEgAAAMDBgj4v7ZFuFk0PIpEkbd5obzAAAAAARmbzxtT0SAaRuFcskZQ/M4hky+32BgMAAABgZLbcLp/Xo3jS2B3JqCBp60c8aeTzMu4fAAAAcCq/x1Is4Y5Km8/uAHLRmsYfa23bz6QN6Rs2lKZeV62TVq+3KywAAAAAA9m8sVeX3Nderkrf7vw1vGWMPSXDlStXmq1bt9rytYey9rt/UcDn0b0feX0qYdvQbHdIAAAAAIZrQ6k+d96T2rSrRlu/cKXd0QzIsqxtxpiVQ11He2Q/4kkjr4f2SAAAAMCpfB6LPW1uFk/2GERStc7eYAAAAACMTNU6+TwexRMkba4VTxj5MpU2h/e/AgAAAHln9Xr5ve4ZRELS1o940nRX2gAAAAA4js9rKUF7pHvFE0n2tAEAAAAO5vWkzmmza/DiaCJp60cswTltAAAAgJP500UYNwwjIWnrRzyZlN/DXQMAAAA4lS+93ckNw0jITPqRSBp5qbQBAAAAjuXLVtqcP4yEpK0fsYTJllMBAAAAOE9muxOVNpeKJ5LZcioAAAAA58ms52NU2twpnmQQCQAAAOBkmc45N4z9J2nrRzzZ43BtAAAAAI6TOcKL9kgXMsYokTTyMT0SAAAAcCx/pj0yQXuk68TSmbif9kgAAADAsbKDSGiPdJ9MzyuDSAAAAADnynTO0R7pQpnpMuxpAwAAAJyLc9pcLJOJk7QBAAAAzpVpj4xRaXOfeHqjIu2RAAAAgHNlBpHEGUTiPpmNilTaAAAAAOfyck6be2XbI6m0AQAAAI6VmQYfI2lzn8wgEkb+AwAAAM7VPT2S9kjXyY7853BtAAAAwLE4p83FMieme9nTBgAAADgW57S5WOaHSnskAAAA4FzdlTbaI10n80NlEAkAAADgXP50pY1z2lwoW2mjPRIAAABwrEylLZEvlTbLsq62LGuPZVn7LMtaN8h1ay3LMpZlrRy9EMdXZqMie9oAAAAA58qcu5wXlTbLsryS7pD0JklLJF1nWdaSfq4rlvRpSc+MdpDjKTOIhPZIAAAAwLky6/l8Gfl/kaR9xpgDxpiopF9IWtPPdV+S9O+SukYxvnHHIBIAAADA+fJt5P90Sa/1eP9I+rYsy7KWS5ppjPnDKMZmC9ojAQAAAOfLtEfmS9LWX/aS/c4ty/JI+rqkzwz5iSzro5ZlbbUsa2tdXd3woxxHmemRftojAQAAAMfqPqctP9ojj0ia2eP9GZKO9Xi/WNJSSY9ZllUt6fWSHuhvGIkx5gfGmJXGmJWVlZWnH/UYyrRH+qi0AQAAAI6V2e6UF4NIJD0naaFlWXMtywpIeo+kBzIfNMY0G2MqjDFzjDFzJP1V0rXGmK1jEvEYy5RPqbQBAAAAzmVZlrweS4l8aI80xsQlfUrSnyS9LOlXxphdlmXdZlnWtWMd4HjLlE/Z0wYAAAA4m9djKeaCc9p8w7nIGPOQpIf63HbrANeuOvOw7BNLZ+I+pkcCAAAAjub3WNntT05GD2AfmUqb38NdAwAAADiZz+vJm0EkeSVBpQ0AAABwBb/XypuR/3kllp0eyV0DAAAAOJmX9kh3ypRPqbQBAAAAzubzeFwxiISkrY/sIBKmRwIAAACO5vdSaXOlRDIpr8eSZZG0AQAAAE6WN+e05Zt4wlBlAwAAAFzA7/UoxvRI94kljPxe7hYAAADA6XxMj3SnRDLJEBIAAADABXweD0mbG8WStEcCAAAAbuDzWByu7UbxRJIz2gAAAAAX8DE90p3iCUN7JAAAAOACfi/ntLlSPMkgEgAAAMANfIz8d6d4+pw2AAAAAM7m9XgUoz3SfWKc0wYAAAC4gt/LIBJXiieStEcCAAAALuDzMvLfleJJQ3skAAAA4AI+j6U4g0jcJ54w8jM9EgAAAHC81DltVNpcJ57knDYAAADADXxeBpG4UjzJOW0AAACAG/i9lhK0R7pPnOmRAAAAgCt4aY90p1giKR/TIwEAAADH83s9ilFpc594kkEkAAAAgBswiMSlEkmTGkSyeaPdoQAAAAA4A5cf/aHiSSNjnJ24kbT1EUskU3vattxudygAAAAAzsDFr90pKVWYcTKStj7iCaZHAgAAAG4Sd3jSZtlVKly5cqXZunWrLV97QJs39l9hq1onrV4//vEAAAAAGBkHrekty9pmjFk55HUkbb2t+NKfdc2yKfryzsukDc12hwMAAADgdG0o1Zyue/X8F69SaYHf7mhOMdykjfbIPpLGyGPRHgkAAAC4BYNIXCaZTCdtVevsDgUAAADAGdg57+OSJIdvaSNp6ytplEracqzfFQAAAMDIvLjwJklMj3SdpDHycq8AAAAAjufxpLY90R7pMokke9oAAAAAN8is6xMkbe5iTHdGDgAAAMC5vOmkzeHdkSRtfSWMETkbAAAA4HyZBrqkw7M2krY+ksZkM3IAAAAAzuX1ZCptJG2uYYyRMZJF0gYAAAA4XnZPG5U298j8LL30RwIAAACO5/Gwp811MmVTcjYAAADA+TLrekb+u0imbEp7JAAAAOB8jPx3IUN7JAAAAOAamaQtmbQ5kDNE0tZDgvZIAAAAwDUy63qmR7pI9542sjYAAADA6Rj570KZQ/dI2gAAAADnY+S/CzHyHwAAAHAPRv67UCLJnph1iewAAA6DSURBVDYAAADALdjT5kKZ8xs8ZG0AAACA43mz0yNJ2lwjwSASAAAAwDUszmlzn0wCTqENAAAAcL7Mut7hORtJW09MjwQAAADcg5H/LsQ5bQAAAIB7WIz8dx9G/gMAAADukVnXO7zQRtLWUyYDp9AGAAAAOF+mFkOlzUUyI/+ptAEAAADOl9n2xJ42F2HkPwAAAOAeJG0ulEymXpO0AQAAAM7XPT3S5kDOEElbD93TI20OBAAAAMAZY0+bCyXZ0wYAAAC4hodz2twnk4DTHgkAAAA4X2Zd7/CcjaStJ0b+AwAAAO5Be6QLMfIfAAAAcA+mR7pQJgOnPRIAAABwPva0uRB72gAAAAD38FqM/HcdRv4DAAAA7sGeNhdi5D8AAADgHpn2SEN7pHt0T48kaQMAAACcLrPtiUqbi2QScCptAAAAgPOxp82FuqdH2hwIAPz/9u4u1tKzLAPw/ewZyq8UIjWaTktLBLUgAtlUkGitraYoaQ/8a2OVILFKBAE1OoWIlZMiGBEjBzS0RgXkp0VsTKGgNJy1UP4pBZ3USIdiClGqCUJt9+PBWu1shhlm29nd37vXd10nXT9fZt/TN7PXutf3fs8CAI5bLduO6ZEr5NAgEq0NAAB2O9/TtoKM/AcAgNVhe+QKuv9Mm/8rAACw65WR/6vn/pH/zrQBAMCut8fI/9Vj5D8AAKyOQyP/Jw5ynJS2TYz8BwCA1XHf23qDSFaIkf8AALA6qipVSttKMfIfAABWy54qpW2VHJoeqbQBAMAqWKtyTdsquW8SqOmRAACwGtbWTI9cKYe2R04cBAAA2BZrtkeulg0j/wEAYKXYHrliNoz8BwCAlbJmeuRqMfIfAABWy9qa7ZErxfRIAABYLUb+rxjf0wYAAKulXNO2Woz8BwCA1bLHyP/Vcu/90yMnDgIAAGyLxfRIpW1l3NfATY8EAIDVsPietqlTHJ8tlbaqOq+qPl9VB6pq/xGe/+2q+mxVfaqq/qmqHr/9UR989+11dU0bAACshrW1GYz8r6o9Sd6Y5LlJzkhyUVWdcdhhH0+y3t1PTXJ1ktdud9CdcGgQycRBAACAbbE2k+mRZyY50N23dffdSd6e5ILNB3T3Dd39teXdG5Ps296YO6O7U7WYMAMAAOx+e2ayPfLkJLdvun9w+djRvDDJe48n1FTu7bY1EgAAVkhVsrHLW9veLRxzpBZzxL91VV2cZD3JWUd5/pIklyTJqaeeusWIO2ejjfsHAIBVsmdtHtsjDyY5ZdP9fUnuOPygqjo3ySuTnN/d3zjSH9TdV3T3enevn3TSSQ8k74NqY6ON+wcAgBUyl5H/H0nyxKo6vapOSHJhkms3H1BVT0/ypiwK253bH3NnbHQb9w8AACtkFiP/u/ueJC9Ocn2SW5O8s7tvqapXV9X5y8Nel+RRSd5VVZ+oqmuP8scN7d4N4/4BAGCVrMLI/61c05buvi7JdYc99qpNt8/d5lyT2OhejPu/4fLk7EunjgMAABynX/ra23L9o14wdYzjsqUv156Lje6srVXyoddMHQUAANgGF/3P22ZxTdtsbHSbHgkAACtml++OTPVEf4P19fW++eabJ/nZR3TD5Uc+w3bWflslAQBgN9kl7+2r6qPdvX7M45S2Q/Zf86l88HN35sP/+7PJZXdNHQcAADhel52YX/ye9+Udv/7sqZN8i62WNtsjNzHyHwAAVs9u3x6ptG1y/8j/s/ZPHQUAANgG13zHxbl3l7c2pW2T7s7aWoba5woAADxw73nMr8zje9rm4g/Pf3Luvmdj6hgAAMA2+fMLn57dXdmUtm9y4sMfMnUEAABgGz32kSdMHeG42R4JAAAwMKUNAABgYEobAADAwJQ2AACAgSltAAAAA1PaAAAABqa0AQAADExpAwAAGJjSBgAAMDClDQAAYGBKGwAAwMCUNgAAgIEpbQAAAANT2gAAAAamtAEAAAxMaQMAABiY0gYAADAwpQ0AAGBgShsAAMDAlDYAAICBKW0AAAADU9oAAAAGprQBAAAMTGkDAAAYmNIGAAAwMKUNAABgYEobAADAwJQ2AACAgSltAAAAA1PaAAAABqa0AQAADExpAwAAGJjSBgAAMDClDQAAYGBKGwAAwMCUNgAAgIEpbQAAAANT2gAAAAamtAEAAAxMaQMAABiY0gYAADAwpQ0AAGBgShsAAMDAlDYAAICBKW0AAAADU9oAAAAGprQBAAAMTGkDAAAYmNIGAAAwMKUNAABgYEobAADAwJQ2AACAgSltAAAAA1PaAAAABqa0AQAADExpAwAAGJjSBgAAMDClDQAAYGBKGwAAwMCUNgAAgIEpbQAAAANT2gAAAAamtAEAAAxMaQMAABiY0gYAADAwpQ0AAGBgShsAAMDAlDYAAICBKW0AAAADU9oAAAAGprQBAAAMTGkDAAAYmNIGAAAwMKUNAABgYEobAADAwJQ2AACAgSltAAAAA1PaAAAABral0lZV51XV56vqQFXtP8LzD62qdyyfv6mqTtvuoDvmhsunTgAAAGynXf4e/5ilrar2JHljkucmOSPJRVV1xmGHvTDJf3b39yZ5fZI/3u6gO+ZDr5k6AQAAsJ12+Xv8rZxpOzPJge6+rbvvTvL2JBccdswFSf5qefvqJOdUVW1fTAAAgHnau4VjTk5y+6b7B5P88NGO6e57ququJN+Z5CubD6qqS5JckiSnnnrqA4z8ILjh8m9u35eduPjvWfuTsy+dJhMAAPDArdB7/K2UtiOdMesHcEy6+4okVyTJ+vr6tzw/mbMvPbRwl52YXHbXtHkAAIDjs0Lv8beyPfJgklM23d+X5I6jHVNVe5OcmOQ/tiMgAADAnG2ltH0kyROr6vSqOiHJhUmuPeyYa5M8f3n755J8sLvHOZP2/3HWtwzHBAAAdrNd/h7/mNsjl9eovTjJ9Un2JLmqu2+pqlcnubm7r01yZZK/qaoDWZxhu/DBDP2g2mX7WwEAgGPY5e/xt3JNW7r7uiTXHfbYqzbd/nqSn9/eaAAAAGzpy7UBAACYhtIGAAAwMKUNAABgYEobAADAwJQ2AACAgSltAAAAA1PaAAAABqa0AQAADExpAwAAGJjSBgAAMDClDQAAYGBKGwAAwMCUNgAAgIEpbQAAAANT2gAAAAamtAEAAAxMaQMAABiY0gYAADAwpQ0AAGBg1d3T/OCqLyf5tx34UY9L8pUd+Dl8e9ZhDNZhDNZhHNZiDNZhDNZhDNZhHDuxFo/v7pOOddBkpW2nVNXN3b0+dY65sw5jsA5jsA7jsBZjsA5jsA5jsA7jGGktbI8EAAAYmNIGAAAwsDmUtiumDkAS6zAK6zAG6zAOazEG6zAG6zAG6zCOYdZi5a9pAwAA2M3mcKYNAABg11r50lZVT6uqG6vqE1V1c1WdOXWmOauql1TV56vqlqp67dR55qyqfrequqoeN3WWOaqq11XV56rqU1X1d1X1mKkzzUlVnbf8XXSgqvZPnWeOquqUqrqhqm5dvia8dOpMc1ZVe6rq41X1D1NnmbOqekxVXb18fbi1qp49daY5qqqXL38vfaaq/raqHjZ1ppUvbUlem+SPuvtpSV61vM8EqursJBckeWp3PznJn0wcabaq6pQkP5nkC1NnmbEPJHlKdz81yT8nuXTiPLNRVXuSvDHJc5OckeSiqjpj2lSzdE+S3+nuH0jyrCS/aR0m9dIkt04dgrwhyfu6+/uT/FCsyY6rqpOT/FaS9e5+SpI9SS6cNtU8SlsnefTy9olJ7pgwy9y9KMlruvsbSdLdd06cZ85en+T3svj3wQS6+/3dfc/y7o1J9k2ZZ2bOTHKgu2/r7ruTvD2LD5TYQd39pe7+2PL2f2fx5vTkaVPNU1XtS/IzSd48dZY5q6pHJ/mxJFcmSXff3d1fnTbVbO1N8vCq2pvkERmgP8yhtL0syeuq6vYszuz4NHs6T0ryo1V1U1V9qKqeOXWgOaqq85N8sbs/OXUW7verSd47dYgZOTnJ7ZvuH4yyMKmqOi3J05PcNG2S2fqzLD7I25g6yMw9IcmXk/zlcqvqm6vqkVOHmpvu/mIWneELSb6U5K7ufv+0qRYtcterqn9M8t1HeOqVSc5J8vLuvqaqfiGLTy/O3cl8c3KMtdib5LFZbIN5ZpJ3VtUT2gjTbXeMdXhFkp/a2UTz9O3Wobv/fnnMK7PYJvbWncw2c3WEx/wemkhVPSrJNUle1t3/NXWeuamq5yW5s7s/WlU/PnWemdub5BlJXtLdN1XVG5LsT/IH08aal6p6bBa7L05P8tUk76qqi7v7LVPmWonS1t1HLWFV9ddZ7NNOknfFqf8H1THW4kVJ3r0saR+uqo0kj8viUyW20dHWoap+MItfQp+sqmSxJe9jVXVmd//7DkachW/37yFJqur5SZ6X5BwfXuyog0lO2XR/XwbY+jJHVfWQLArbW7v73VPnmannJDm/qn46ycOSPLqq3tLdF0+ca44OJjnY3fedcb46i9LGzjo3yb9295eTpKreneRHkkxa2uawPfKOJGctb/9Ekn+ZMMvcvSeLNUhVPSnJCUm+MmmimenuT3f3d3X3ad19WhYvEM9Q2HZeVZ2X5PeTnN/dX5s6z8x8JMkTq+r0qjohiwvMr5040+zU4pOjK5Pc2t1/OnWeueruS7t73/I14cIkH1TYprF8Lb69qr5v+dA5ST47YaS5+kKSZ1XVI5a/p87JAANhVuJM2zH8WpI3LC8k/HqSSybOM2dXJbmqqj6T5O4kz3d2gRn7iyQPTfKB5VnPG7v7N6aNNA/dfU9VvTjJ9VlMBbuqu2+ZONYcPSfJLyf5dFV9YvnYK7r7ugkzwdRekuStyw+UbkvygonzzM5ya+rVST6WxeULH09yxbSpkvKeGQAAYFxz2B4JAACwayltAAAAA1PaAAAABqa0AQAADExpAwAAGJjSBgAAMDClDQAAYGBKGwAAwMD+D0KpSGfvIN8oAAAAAElFTkSuQmCC\n", "text/plain": [ - "
" + "
" ] }, "metadata": {}, @@ -208,6 +175,7 @@ } ], "source": [ + "plt.figure(figsize=(15,10))\n", "plt.plot(res['ys'], res['c_ls']/res['C_L'])\n", "plt.plot(liftana.calc_ys, liftana.aoa_c_ls, '+')" ] @@ -220,28 +188,28 @@ { "data": { "text/plain": [ - "array([3.70777457e-08, 1.46901193e-01, 2.67615993e-01, 3.73357240e-01,\n", - " 4.64227008e-01, 5.39267676e-01, 6.00532565e-01, 6.49751144e-01,\n", - " 6.89144319e-01, 7.20438438e-01, 7.45290634e-01, 7.64940795e-01,\n", - " 7.80480348e-01, 7.92710065e-01, 8.02313532e-01, 8.09786292e-01,\n", - " 8.15548594e-01, 8.19901143e-01, 8.23100280e-01, 8.25324466e-01,\n", - " 8.26726851e-01, 8.27405555e-01, 8.27442603e-01, 8.26872113e-01,\n", - " 8.25707937e-01, 8.23893025e-01, 8.21265986e-01, 8.19234266e-01,\n", - " 8.20901910e-01, 8.21505045e-01, 8.21449133e-01, 8.20860041e-01,\n", - " 8.19825135e-01, 8.18370035e-01, 8.16516283e-01, 8.14245953e-01,\n", - " 8.11543781e-01, 8.08349005e-01, 8.04602948e-01, 8.00169156e-01,\n", - " 7.94899977e-01, 7.88451410e-01, 7.80379122e-01, 7.69148643e-01,\n", - " 7.80379122e-01, 7.88451410e-01, 7.94899977e-01, 8.00169156e-01,\n", - " 8.04602948e-01, 8.08349005e-01, 8.11543781e-01, 8.14245953e-01,\n", - " 8.16516283e-01, 8.18370035e-01, 8.19825135e-01, 8.20860041e-01,\n", - " 8.21449133e-01, 8.21505045e-01, 8.20901910e-01, 8.19234266e-01,\n", - " 8.21265986e-01, 8.23893025e-01, 8.25707937e-01, 8.26872113e-01,\n", - " 8.27442603e-01, 8.27405555e-01, 8.26726851e-01, 8.25324466e-01,\n", - " 8.23100280e-01, 8.19901143e-01, 8.15548594e-01, 8.09786292e-01,\n", - " 8.02313532e-01, 7.92710065e-01, 7.80480348e-01, 7.64940795e-01,\n", - " 7.45290634e-01, 7.20438438e-01, 6.89144319e-01, 6.49751144e-01,\n", - " 6.00532565e-01, 5.39267676e-01, 4.64227008e-01, 3.73357240e-01,\n", - " 2.67615993e-01, 1.46901193e-01, 2.48824542e-15])" + "array([ -2.10901917, -3.875571 , -5.40665589, -6.68424067,\n", + " -7.72770504, -8.56948034, -9.24180656, -9.77562951,\n", + " -10.19753938, -10.53011963, -10.79162729, -10.99680138,\n", + " -11.15723794, -11.28208262, -11.37846076, -11.45192634,\n", + " -11.50680494, -11.54643095, -11.5734086 , -11.58969247,\n", + " -11.5967994 , -11.59576535, -11.58733216, -11.57176587,\n", + " -11.54899097, -11.51807437, -11.47657504, -11.44406385,\n", + " -11.46374842, -11.46903941, -11.46554176, -11.45499574,\n", + " -11.43856742, -11.41659863, -11.38934564, -11.35654596,\n", + " -11.31794969, -11.27269892, -11.21994232, -11.15776546,\n", + " -11.08407546, -10.9940568 , -10.88146979, -10.72487786,\n", + " -10.88146979, -10.9940568 , -11.08407546, -11.15776546,\n", + " -11.21994232, -11.27269892, -11.31794969, -11.35654596,\n", + " -11.38934564, -11.41659863, -11.43856742, -11.45499574,\n", + " -11.46554176, -11.46903941, -11.46374842, -11.44406385,\n", + " -11.47657504, -11.51807437, -11.54899097, -11.57176587,\n", + " -11.58733216, -11.59576535, -11.5967994 , -11.58969247,\n", + " -11.5734086 , -11.54643095, -11.50680494, -11.45192634,\n", + " -11.37846076, -11.28208262, -11.15723794, -10.99680138,\n", + " -10.79162729, -10.53011963, -10.19753938, -9.77562951,\n", + " -9.24180656, -8.56948034, -7.72770504, -6.68424067,\n", + " -5.40665589, -3.875571 , -2.10901921])" ] }, "execution_count": 7, @@ -250,7 +218,7 @@ } ], "source": [ - "distribution" + "distribution-res['c_ls']" ] }, { diff --git a/examples/Liftdistribution.pdf b/examples/Liftdistribution.pdf index 1c6c57e080ca415300476f937e4422f8605fbb59..b09a5d682717d3e4c76dbb1ee90c02831b0fcb37 100644 GIT binary patch delta 21 ccmaFW%lN97al=tZHbZkGLt~50ryb>40b<(+#sB~S delta 21 ccmaFW%lN97al=tZHUkS&3q#}0ryb>40b>CN$p8QV diff --git a/wingstructure/aero/multhop.py b/wingstructure/aero/multhop.py index 143ec64..1e93269 100644 --- a/wingstructure/aero/multhop.py +++ b/wingstructure/aero/multhop.py @@ -64,8 +64,8 @@ def _multhop_solve(θs, αs, chords, dcls, b, return_αi=False): B = Bb + np.diag(Bd) - print(B) - + #print(B) + # calculation of local circulation γs = np.dot(np.linalg.inv(B), αs) @@ -122,7 +122,7 @@ def multhop(ys: np.ndarray, αs: np.ndarray, chords: np.ndarray, M = len(ys) θs = np.arccos(-2* ys/b) - print(θs) + #print(θs) γs, α_is = _multhop_solve(θs, αs, chords, dcls, b, return_αi=True) # calculate lift coefficient distritbution From 603c495212f19af6cd1472f9e581e0580335407b Mon Sep 17 00:00:00 2001 From: helo Date: Sat, 2 Mar 2019 09:58:22 +0100 Subject: [PATCH 04/11] comparison of old and new multhop --- examples/Analysis_Example.ipynb | 137 ++++++++++++++----- examples/Liftdistribution.pdf | Bin 18154 -> 18698 bytes examples/Liftdistribution.png | Bin 36432 -> 36234 bytes wingstructure/aero/analysis.py | 4 + wingstructure/aero/liftingline.py | 4 +- wingstructure/aero/multhop.py | 8 +- wingstructure/structure/internalreactions.py | 4 +- 7 files changed, 114 insertions(+), 43 deletions(-) diff --git a/examples/Analysis_Example.ipynb b/examples/Analysis_Example.ipynb index dc5b465..76082af 100644 --- a/examples/Analysis_Example.ipynb +++ b/examples/Analysis_Example.ipynb @@ -75,7 +75,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -90,15 +90,26 @@ "name": "stdout", "output_type": "stream", "text": [ - "[0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", - " 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n" + "\n", + "\n", + "Base\n", + "\n", + "\n", + "Flap flap\n", + "\n", + "\n", + "Flap flap2\n", + "\n", + "\n", + "airbrake\n", + "\n", + "\n", + "aoa\n" ] }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -114,7 +125,7 @@ "\n", "α, distribution, C_Dib = liftana.calculate(C_L=0.8, return_C_Di=True)\n", "α_qr, distribution_q, C_Dia = liftana.calculate(C_L=0.8, \n", - " flap_deflections={'flap2': [5, -5]}, return_C_Di=True)\n", + " flap_deflections={'flap2': [5, -15]}, return_C_Di=True)\n", "α_ab, distribution_ab, C_Di = liftana.calculate(C_L=0.8, air_brake=True, return_C_Di=True)\n", "\n", "plt.figure(figsize=(8,5))\n", @@ -143,9 +154,31 @@ "cell_type": "code", "execution_count": 5, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0.03569992 0.07139983 0.10709975 0.14279967 0.17849958 0.2141995\n", + " 0.24989942 0.28559933 0.32129925 0.35699917 0.39269908 0.428399\n", + " 0.46409891 0.49979883 0.53549875 0.57119866 0.60689858 0.6425985\n", + " 0.67829841 0.71399833 0.74969825 0.78539816 0.82109808 0.856798\n", + " 0.89249791 0.92819783 0.96389775 0.99959766 1.03529758 1.0709975\n", + " 1.10669741 1.14239733 1.17809725 1.21379716 1.24949708 1.28519699\n", + " 1.32089691 1.35659683 1.39229674 1.42799666 1.46369658 1.49939649\n", + " 1.53509641 1.57079633 1.60649624 1.64219616 1.67789608 1.71359599\n", + " 1.74929591 1.78499583 1.82069574 1.85639566 1.89209558 1.92779549\n", + " 1.96349541 1.99919533 2.03489524 2.07059516 2.10629507 2.14199499\n", + " 2.17769491 2.21339482 2.24909474 2.28479466 2.32049457 2.35619449\n", + " 2.39189441 2.42759432 2.46329424 2.49899416 2.53469407 2.57039399\n", + " 2.60609391 2.64179382 2.67749374 2.71319366 2.74889357 2.78459349\n", + " 2.8202934 2.85599332 2.89169324 2.92739315 2.96309307 2.99879299\n", + " 3.0344929 3.07019282 3.10589274]\n" + ] + } + ], "source": [ - "res = multhop.calc_multhoplift(wing, 2.1)" + "res = multhop.calc_multhoplift(wing, 1.)" ] }, { @@ -156,12 +189,39 @@ { "data": { "text/plain": [ - "[]" + "((87,),\n", + " (87,),\n", + " array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", + " 0., 0.]))" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" + } + ], + "source": [ + "res['ys'].shape, liftana.calc_ys.shape, liftana.calc_ys-res['ys']" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" }, { "data": { @@ -182,43 +242,43 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([ -2.10901917, -3.875571 , -5.40665589, -6.68424067,\n", - " -7.72770504, -8.56948034, -9.24180656, -9.77562951,\n", - " -10.19753938, 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z?d=v;R>AS{xJpV&rhDy|NqPnb8!IaTQn_8XxBLLMP_=hGbnm$LsAGTyzZ{1AY2~XK z<%2((XiRWUa9f*D4()3+aSTjMy2QauJ2wGVR#E1}waZJq0011FY3}WnMnpm?)-3&A zRtAv3NS)w6j$V!K?9e$oJ40&cKcED`9vvM`?p-V|7EoTypc_6nA*ima>lqqCOIG;u z`1m+8Y9!+9;v!L}OBLJCDk7pRocUC~xw{*(xM%?Ga@Mxq9X782ofUVgIz8^`jo{YS z7R1)hj$KGdu}V8noqpV|!Qa0o=5t4v{H-{Dy3$caX?i+IMrP*h^77LpD1MMHocJI6 zIs5eFCHWOhDlhwi2R$TISI^Gd?!7VM39yWh2X@)(P6z{Ay;CgWnt%=B&SX$0oC@S; Y*5a1yg Date: Sun, 10 Mar 2019 09:12:11 +0100 Subject: [PATCH 05/11] fix new high level multhop --- examples/Analysis_Example.ipynb | 132 ++++++-------------------------- examples/Liftdistribution.pdf | Bin 18698 -> 18137 bytes examples/Liftdistribution.png | Bin 36234 -> 37059 bytes wingstructure/aero/analysis.py | 11 +-- wingstructure/aero/multhop.py | 70 +++++++++++++++-- wingstructure/data/geometry.py | 14 +++- 6 files changed, 105 insertions(+), 122 deletions(-) diff --git a/examples/Analysis_Example.ipynb b/examples/Analysis_Example.ipynb index 76082af..f78555c 100644 --- a/examples/Analysis_Example.ipynb +++ b/examples/Analysis_Example.ipynb @@ -75,7 +75,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 3, "metadata": {}, "outputs": [ { @@ -86,30 +86,9 @@ " warn('No airfoil database defined, using default airfoil.')\n" ] }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "\n", - "Base\n", - "\n", - "\n", - "Flap flap\n", - "\n", - "\n", - "Flap flap2\n", - "\n", - "\n", - "airbrake\n", - "\n", - "\n", - "aoa\n" - ] - }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -159,6 +138,21 @@ "name": "stdout", "output_type": "stream", "text": [ + "[0.03569992 0.07139983 0.10709975 0.14279967 0.17849958 0.2141995\n", + " 0.24989942 0.28559933 0.32129925 0.35699917 0.39269908 0.428399\n", + " 0.46409891 0.49979883 0.53549875 0.57119866 0.60689858 0.6425985\n", + " 0.67829841 0.71399833 0.74969825 0.78539816 0.82109808 0.856798\n", + " 0.89249791 0.92819783 0.96389775 0.99959766 1.03529758 1.0709975\n", + " 1.10669741 1.14239733 1.17809725 1.21379716 1.24949708 1.28519699\n", + " 1.32089691 1.35659683 1.39229674 1.42799666 1.46369658 1.49939649\n", + " 1.53509641 1.57079633 1.60649624 1.64219616 1.67789608 1.71359599\n", + " 1.74929591 1.78499583 1.82069574 1.85639566 1.89209558 1.92779549\n", + " 1.96349541 1.99919533 2.03489524 2.07059516 2.10629507 2.14199499\n", + " 2.17769491 2.21339482 2.24909474 2.28479466 2.32049457 2.35619449\n", + " 2.39189441 2.42759432 2.46329424 2.49899416 2.53469407 2.57039399\n", + " 2.60609391 2.64179382 2.67749374 2.71319366 2.74889357 2.78459349\n", + " 2.8202934 2.85599332 2.89169324 2.92739315 2.96309307 2.99879299\n", + " 3.0344929 3.07019282 3.10589274]\n", "[0.03569992 0.07139983 0.10709975 0.14279967 0.17849958 0.2141995\n", " 0.24989942 0.28559933 0.32129925 0.35699917 0.39269908 0.428399\n", " 0.46409891 0.49979883 0.53549875 0.57119866 0.60689858 0.6425985\n", @@ -178,34 +172,7 @@ } ], "source": [ - "res = multhop.calc_multhoplift(wing, 1.)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "((87,),\n", - " (87,),\n", - " array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", - " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", - " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", - " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", - " 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n", - " 0., 0.]))" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "res['ys'].shape, liftana.calc_ys.shape, liftana.calc_ys-res['ys']" + "res = multhop.calc_multhopalpha(wing, 0.8, controls={'flap2': [5, -15]})" ] }, { @@ -216,7 +183,7 @@ { "data": { "text/plain": [ - "[]" + "[]" ] }, "execution_count": 7, @@ -225,7 +192,7 @@ }, { "data": { - "image/png": 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\n", 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"text/plain": [ "
" ] @@ -236,65 +203,10 @@ ], "source": [ "plt.figure(figsize=(15,10))\n", - "plt.plot(res['ys'], res['c_ls']/res['C_L'])\n", - "plt.plot(liftana.calc_ys, liftana.aoa_c_ls, '+')" + "plt.plot(res['ys'], res['c_ls'])\n", + "plt.plot(liftana.calc_ys, distribution_q, '+')" ] }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([3.70777457e-08, 1.46901193e-01, 2.67615993e-01, 3.73357240e-01,\n", - " 4.64227008e-01, 5.39267676e-01, 6.00532565e-01, 6.49751144e-01,\n", - " 6.89144319e-01, 7.20438438e-01, 7.45290634e-01, 7.64940795e-01,\n", - " 7.80480348e-01, 7.92710065e-01, 8.02313532e-01, 8.09786292e-01,\n", - " 8.15548594e-01, 8.19901143e-01, 8.23100280e-01, 8.25324466e-01,\n", - " 8.26726851e-01, 8.27405555e-01, 8.27442603e-01, 8.26872113e-01,\n", - " 8.25707937e-01, 8.23893025e-01, 8.21265986e-01, 8.19234266e-01,\n", - " 8.20901910e-01, 8.21505045e-01, 8.21449133e-01, 8.20860041e-01,\n", - " 8.19825135e-01, 8.18370035e-01, 8.16516283e-01, 8.14245953e-01,\n", - " 8.11543781e-01, 8.08349005e-01, 8.04602948e-01, 8.00169156e-01,\n", - " 7.94899977e-01, 7.88451410e-01, 7.80379122e-01, 7.69148643e-01,\n", - " 7.80379122e-01, 7.88451410e-01, 7.94899977e-01, 8.00169156e-01,\n", - " 8.04602948e-01, 8.08349005e-01, 8.11543781e-01, 8.14245953e-01,\n", - " 8.16516283e-01, 8.18370035e-01, 8.19825135e-01, 8.20860041e-01,\n", - " 8.21449133e-01, 8.21505045e-01, 8.20901910e-01, 8.19234266e-01,\n", - " 8.21265986e-01, 8.23893025e-01, 8.25707937e-01, 8.26872113e-01,\n", - " 8.27442603e-01, 8.27405555e-01, 8.26726851e-01, 8.25324466e-01,\n", - " 8.23100280e-01, 8.19901143e-01, 8.15548594e-01, 8.09786292e-01,\n", - " 8.02313532e-01, 7.92710065e-01, 7.80480348e-01, 7.64940795e-01,\n", - " 7.45290634e-01, 7.20438438e-01, 6.89144319e-01, 6.49751144e-01,\n", - " 6.00532565e-01, 5.39267676e-01, 4.64227008e-01, 3.73357240e-01,\n", - " 2.67615993e-01, 1.46901193e-01, 2.48824542e-15])" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "distribution" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, { "cell_type": "code", "execution_count": null, diff --git a/examples/Liftdistribution.pdf b/examples/Liftdistribution.pdf index 3ff92aaf753490094715ace8e35bd507bd38b196..abd57bcfaa87239be6848d94cdf374dcc12c7c26 100644 GIT binary patch delta 5241 zcmZuxc_5Vg*U!j4H0VkiJVP>w*|#j&rLylNTf(&u#UyuZ*|R;7R6<<)mfY-nN+?Uy zCX(zVLTSm|_S2uBUedAvKVDaD}%6CrZ z{nGpmx8wqYh%wCr^be&`@Dw?6JMWM~(6_0)lM*RDhbBVKh@V%W+mxl{+ofdWO}r@J zE{c*1Vrx9Zh|0LC5VoeWwLa1O;at<^!dr{(i6M3_j|9aXUD1 z(#}a7GWsl8hD(3w^7`yUYp(A6!52vbC<7&Zs_)U1nA1`Z-zd_TV#cW7w^ta;6Eh?S zu0Lqov!?JV;~}X#&E#OCKOQO3gVqQA-h6#tOxg6{2o(8zHE8LzU2}8I`rqSQw~Osg zD%kx9TsNnu=@?;sd`E6Rd(VcRI$*TS?)OMW1aM4Ak}^*9IiNe}tv66)mPqI{3*XvQ 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z#TuwtwWx;gZ%`uYh%oRx8#xry`{XD;;eU8$WMsq~(V=7MP*qr%xWA8*W+ajPJ3nt= zI$@7g5{g$L6&;MA`6_|P0PlLEHp;U9Z;Bam3bSR zn@X9A@Nf1g6oVvEKtM59Idt=sIqa41?9pj7He#Dvz>}^>l~vh8D>f#^m?wI9Z*T9l zUhzl{xnFagCM}}6;VQ8wosGMD?(D1{gXG<*LvBjKi^CAav{noP1A&;`!n=h)P<}>S zK_L8JATSY#7W)5uPV9+5c-r7SLm=vTuiQZ(bZ=u4BM== 0.0 and span_pos > 0: + if flap.length(span_pos) > 0.0 and span_pos > 0: lambda_k = 1-flap.chordpos_at(span_pos) diff --git a/wingstructure/aero/multhop.py b/wingstructure/aero/multhop.py index 55fa01b..140ab4f 100644 --- a/wingstructure/aero/multhop.py +++ b/wingstructure/aero/multhop.py @@ -168,7 +168,7 @@ def get_α0(airfoil): def _calc_flap_Δα(controlsurface, ys, η): - λ_k = 1 - controlsurface.chordpos_at(ys) + λ_k = controlsurface.length(ys) λ_k[ys<0.0] = 0.0 # only consider one of two (symmetric wing) @@ -207,13 +207,13 @@ def calc_multhoplift(wing, α, controls:dict={}, airbrake:bool=False, airfoil_db except: raise Exception('control surface "{}" not defined in wing!'.format(name)) - αs += _calc_flap_Δα(control_surf, ys, η_r) - αs += _calc_flap_Δα(control_surf, ys, η_l)[::-1] + αs += _calc_flap_Δα(control_surf, ys, np.radians(η_r)) + αs += _calc_flap_Δα(control_surf, ys, np.radians(η_l))[::-1] # - airbrake if airbrake: - αs += np.where(wing.within_airbrake(ys), -12.0, 0.0) - pass + α_ab = np.radians(-12.0) + αs += np.where(wing.within_airbrake(ys), α_ab, 0.0) # add aoa αs += α @@ -226,4 +226,62 @@ def calc_multhoplift(wing, α, controls:dict={}, airbrake:bool=False, airfoil_db res = multhop(ys, αs, chords, dcls, wing.area, wing.span, do_prep=False) - return {'ys': ys, 'c_ls':res.c_ls, 'C_L': res.C_L, 'C_Di': res.C_Di} \ No newline at end of file + return {'ys': ys, 'c_ls':res.c_ls, 'C_L': res.C_L, 'C_Di': res.C_Di} + + +def calc_multhopalpha(wing, C_L:float, controls:dict={}, airbrake:bool=False, airfoil_db:dict=None, options:dict=None): + + # calculate grid points + ys = _calc_gridpoints(wing, 87) + + # interpolate chord lengthes + chords = np.interp(np.abs(ys), wing.ys, wing.chords) + + # determine lift slope + dcls = np.full_like(chords, 2*π) #TODO: make adaptable + + # use default airfoil if no database is set + if airfoil_db is None: + #warn('No airfoil database defined, using default airfoil.') + airfoil_db = defaultdict(AirfoilData) + + # geometric and aerodynamic twist + αs = _calc_base_α(wing, ys, airfoil_db) + + # control surface parts + for name, (η_r, η_l) in controls.items(): + try: + control_surf = wing.flaps[name] + except: + raise Exception('control surface "{}" not defined in wing!'.format(name)) + + αs += _calc_flap_Δα(control_surf, ys, np.radians(η_r)) + αs += _calc_flap_Δα(control_surf, ys, np.radians(η_l))[::-1] + + # - airbrake + if airbrake: + α_ab = np.radians(-12.0) + αs += np.where(wing.within_airbrake(ys), α_ab, 0.0) + + multhop_ = lambda αs: multhop(ys, αs, chords, dcls, wing.area, wing.span, do_prep=False) + + baseres = multhop_(αs) + + # add aoa + αs_ = np.ones_like(ys) + aoares = multhop_(αs_) + + fac = (C_L-baseres.C_L)/aoares.C_L + c_ls = baseres.c_ls + fac * aoares.c_ls + α = C_L/aoares.C_L + C_Di = baseres.C_Di + fac * aoares.C_Di + + return {'ys': ys, 'c_ls':c_ls, 'α': α, 'C_Di':C_Di} + + +class LiftAnalysis: + def __init__(self): + pass + + def calculate(self, C_L, controls:dict={}, airbrake:bool=False, airfoil_db:dict=None, options:dict=None): + pass \ No newline at end of file diff --git a/wingstructure/data/geometry.py b/wingstructure/data/geometry.py index e50492b..04ac440 100644 --- a/wingstructure/data/geometry.py +++ b/wingstructure/data/geometry.py @@ -374,6 +374,11 @@ def chordpos_at(self, span_pos: float): return np.interp(span_pos, [self.y_start, self.y_end], [self.chord_start, self.chord_end], right=0.0, left=0.0) + def length(self, span_pos): + + return np.interp(span_pos, [self.y_start, self.y_end], [self.chord_start, self.chord_end], + right=0.0, left=0.0) + def __lt__(self, other) -> bool: return self.y_start < other.y_start @@ -446,7 +451,14 @@ def is_airbrake_pos(self, span_pos: float) -> bool: return True else: return False - + + def within_airbrake(self, span_pos): + if self.airbrake == None: + return np.full_like(span_pos, False) + + return (np.abs(span_pos)>=self.airbrake['start']) \ + & (np.abs(span_pos)<=self.airbrake['end']) + def plot(self): import matplotlib.pyplot as plt From 224f892e675a7168f215cf53a912c560f508bcb6 Mon Sep 17 00:00:00 2001 From: helo Date: Sun, 10 Mar 2019 22:47:35 +0100 Subject: [PATCH 06/11] implement new LiftAnalysis --- wingstructure/aero/liftingline.py | 190 ++++++------------------------ wingstructure/aero/multhop.py | 66 ++++++++--- 2 files changed, 86 insertions(+), 170 deletions(-) diff --git a/wingstructure/aero/liftingline.py b/wingstructure/aero/liftingline.py index de985ab..7529c5a 100644 --- a/wingstructure/aero/liftingline.py +++ b/wingstructure/aero/liftingline.py @@ -1,176 +1,56 @@ # -*- coding: utf-8 -*- """ -Module providing the multhop quadrature method for solving prandtl's lifting line problem. +Module providing objects for calculation of prandtl's lifting line problem. """ import numpy as np -#from numba import jit -from collections import namedtuple +from collections import namedtuple, defaultdict +from .multhop import _calc_gridpoints, Multhop π = np.pi -_multhopp_result = namedtuple('multhopp_result', ('ys','c_ls','C_L')) -_ext_multhopp_result = namedtuple('ext_multhopp_result', ('ys', 'c_ls', 'C_L', 'αᵢs','C_Wi')) - - -#@jit -def _solve_multhopp(αs, θs, chords, b, dcls, return_B = False): - - M = len(θs) - - # create empyt matrix (N_MxN_M) for multhoppcoefficients - Bb = np.zeros((M, M)) - Bd = np.zeros(M) - - # calculation of multhopp coefficients - for v, (θv, c, dcl_v) in enumerate(zip(θs, chords, dcls)): - for n, θn in enumerate(θs): - - # diagonal elements - if v == n: - # prevent division throught zero - if np.isclose(np.sin(θv), 0.0): - θv = 1e-15 - - Bb[v, v] = (M+1)/(4*np.sin(θv)) - Bd[v] = 2*b/(dcl_v*c) - # non diagonal elements - else: - Bb[v, n] = - ((1-(-1.)**(v-n))/2*(np.sin(θn)/ \ - ((M+1)*(np.cos(θn)-np.cos(θv))**2))) - - B = Bb + np.diag(Bd) - - # calculation of local circulation - γs = np.dot(np.linalg.inv(B), αs) - - if return_B: - return γs, Bb, Bd - else: - return γs - -def _calculate_liftcoefficients(Θs, γs, chords, Λ, b, M): - """Calculates lift coefficients from circulation - - Parameters - ---------- - chords : np.ndarray - chord lengthes - b : float - span width - M : int - number of grid points - - Returns - ------- - tuple - c_l (ndarray) - local lift coefficents, C_L (float) - lift coefficient wing - """ - - - # calculate lift coefficient distritbution - c_l = 2*b/(np.array(chords)) * np.array(γs) # TODO: Check this formula - - # calculate overall lift coefficient (whole wing) - C_L = π*Λ / (M+1) * np.sum(γs * np.sin(Θs)) - - return c_l, C_L +class LiftAnalysis: + @classmethod + def generate(cls, wing, airfoil_db=defaultdict(AirfoilData), method='multhop'): + + ys = _calc_gridpoints(wing, 81) -def _calcgridpoints(b:float, Λ:float, M:int = None): + if method == 'multhop': + calculator = Multhop(wing, ys, airfoil_db) - # calculate number of gridpoints - if M is None: - M = int(round(Λ)*4-1) # has to be uneven, not more than 4*aspect ratio - elif M%2 == 0: - M += 1 # has to be uneven + analysis = cls() - # grid points as angle - θs = np.linspace(np.pi/(M+1), M/(M+1)*np.pi, M) + analysis.ys = ys + analysis._base = calculator.baselift() + analysis._airbrake = calculator.airbrakelift() + analysis._coontrol_surfaces = [calculator.controlsurfacelift(name, 1.0) \ + for name in wing.controls.keys()] - # calculate grid points - calc_ys = -b/2 * np.cos(θs) + return analysis - return θs, calc_ys -def multhopp(αs: np.ndarray, chords: np.ndarray, ys: np.ndarray, dcls: np.ndarray or float=np.nan, M:int=None, - mode = 'c_l', interp = True, returnB=False): - """Use multhopp's quadrature to solve prandtl's lifting line problem - - Parameters - ---------- - αs : np.array - angle of attack regarding zero lift angle - chords : np.array - chord lengths of wing - ys : np.array - corresponding span position - dcls : np.array, optional - lift coefficient slope (the default is np.nan, which means 2pi is used) - M : int, optional - number of evaluation points (the default is None, which let function use recommendation number) - mode : str, optional - (the default is 'c_l', which [default_description]) - interp : bool, optional - calculate grid points or use given span positions for calculation (the default is True) + def __init__(self): + self.ys = None + self._base = None + self._airbrake = None + self._coontrol_surfaces = [] - Returns - ------- - namedtuple - local lift coefficients, optional circulation distribution - """ - - #print(αs, chords, ys, dcls, M, mode, interp) - - if np.isnan(dcls).all(): - dcls = np.array([2*π]*len(ys)) - - # calculate wingspan - b = 2*max(ys) - - # calculate wing area - if min(ys) >= 0.0: - S = 2 * np.trapz(y=chords, x=ys) - else: - S = np.trapz(y=chords, x=ys) - # calculate aspect ratio - Λ = b**2 / S - - # interpolate - if interp: - θs, calc_ys = _calcgridpoints(b, Λ, M) + def calculate(self, C_L, controls:dict={}, airbrake:bool=False, airfoil_db:dict=None, options:dict=None): - calc_αs = np.interp(np.abs(calc_ys), ys, αs) - calc_chords = np.interp(np.abs(calc_ys), ys, chords) - calc_dcls = np.interp(np.abs(calc_ys), ys, dcls) - else: - calc_ys = ys - calc_chords = chords - calc_αs = αs - calc_dcls = dcls + c_ls = np.zeros_like(self.ys) + C_Di = 0.0 - θs = np.arccos(-2*calc_ys/b) + # collect contributions to lift distribution + contributions = [self._base, self._airbrake] + contributions += [self._calc_controlsurface(*cs) for cs in controls] - # calculate circulation distribution - γs, Bb, Bd = _solve_multhopp(calc_αs, θs, calc_chords, b, calc_dcls, return_B=True) + for contrib in contributions: + C_Di += contrib.C_Di + c_ls += contrib.c_ls + C_L -= contrib.C_L - B = Bb+np.diag(Bd) - - # return only ys and gamma - if mode in ('gamma', 'γ'): - return calc_ys, γs - - # calculate coefficients - c_ls, C_L = _calculate_liftcoefficients(θs, γs, calc_chords, Λ, b, M) - - if mode == 'c_l': - # return lift coefficients - return _multhopp_result(calc_ys, c_ls, C_L) - elif mode == 'combined': - # return lift coefficients, induced angle and induced drag - - αᵢs = Bb@γs - C_Di = π*Λ/(M+1) * np.sum( γs * αᵢs * np.sin(θs)) - - return _ext_multhopp_result(calc_ys, c_ls, C_L, αᵢs, C_Di) + def _calc_controlsurface(self, name, deflections): + controllift = self._coontrol_surfaces[name] + return controllift * deflections[0] + controllift.flip() * deflections[1] diff --git a/wingstructure/aero/multhop.py b/wingstructure/aero/multhop.py index 140ab4f..3c7f882 100644 --- a/wingstructure/aero/multhop.py +++ b/wingstructure/aero/multhop.py @@ -11,6 +11,24 @@ _multhop_result = namedtuple('ext_multhopp_result', ('c_ls', 'α_is', 'C_L', 'C_Di')) +class MulthopResult: + + __rmul__ = __mul__ + + def __init__(self, c_ls, α_is, C_L, C_Di): + self.c_ls = c_ls + self.α_is = α_is + self.C_L = C_L + self.C_Di = C_Di + + def flip(self): + return MulthopResult(self.c_ls[::-1], self.α_is[::-1], + self.C_L, self.C_Di) + + def __mul__(self, factor): + return MulthopResult(self.c_ls * factor, self.α_is * factor, + self.C_L * factor, self.C_Di * abs(factor)) #TODO check C_Di and alpha_i + def _prepare_multhop(ys: np.ndarray, αs: np.ndarray, chords: np.ndarray, dcls: np.ndarray, S:float, b:float, M=None): @@ -134,7 +152,7 @@ def multhop(ys: np.ndarray, αs: np.ndarray, chords: np.ndarray, # calculate induced drag C_Di = π*Λ/(M+1) * np.sum( γs * α_is * np.sin(θs)) - return _multhop_result(c_ls, α_is, C_L, C_Di) + return MulthopResult(c_ls, α_is, C_L, C_Di) # Helper functions for high level interface @@ -185,13 +203,39 @@ def _calc_flap_Δα(controlsurface, ys, η): # Definition of high level functions and analysis object -def calc_multhoplift(wing, α, controls:dict={}, airbrake:bool=False, airfoil_db:dict=None, options:dict=None): +class Multhop: + def __init__(self, wing, ys, airfoil_db): + self.wing = wing + self.ys = ys + self.chords = np.interp(ys, wing.ys, wing.chords) + self.dcls = np.full_like(self.chords, 2*π) #TODO make adaptable + self.airfoil_db = airfoil_db - # use default airfoil if no database is set - if airfoil_db is None: - #warn('No airfoil database defined, using default airfoil.') - airfoil_db = defaultdict(AirfoilData) + def _multhop(self, αs): + return multhop(self.ys, αs, self.chords, self.dcls, A, b, do_prep=False) + def baselift(self): + # geometric and aerodynamic twist + αs = _calc_base_α(self.wing, self.ys, self.airfoil_db) + return self._multhop(αs) + + def airbrakelift(self): + α_ab = np.radians(-12.0) + αs = np.where(self.wing.within_airbrake(self.ys), α_ab, 0.0) + return self._multhop(αs) + + def controlsurfacelift(self, name, η): + try: + control_surf = self.wing.flaps[name] + except: + raise Exception('control surface "{}" is not set in wing definition!'.format(name)) + + αs = _calc_flap_Δα(control_surf, self.ys, np.radians(η)) + return self._multhop(αs) + + +def calc_multhoplift(wing, α, controls:dict={}, airbrake:bool=False, airfoil_db:dict=defaultdict(AirfoilData), options:dict=None): + # calculate grid points ys = _calc_gridpoints(wing, 87) @@ -205,7 +249,7 @@ def calc_multhoplift(wing, α, controls:dict={}, airbrake:bool=False, airfoil_db try: control_surf = wing.flaps[name] except: - raise Exception('control surface "{}" not defined in wing!'.format(name)) + raise Exception('control surface "{}" is not set in wing definition!'.format(name)) αs += _calc_flap_Δα(control_surf, ys, np.radians(η_r)) αs += _calc_flap_Δα(control_surf, ys, np.radians(η_l))[::-1] @@ -277,11 +321,3 @@ def calc_multhopalpha(wing, C_L:float, controls:dict={}, airbrake:bool=False, ai C_Di = baseres.C_Di + fac * aoares.C_Di return {'ys': ys, 'c_ls':c_ls, 'α': α, 'C_Di':C_Di} - - -class LiftAnalysis: - def __init__(self): - pass - - def calculate(self, C_L, controls:dict={}, airbrake:bool=False, airfoil_db:dict=None, options:dict=None): - pass \ No newline at end of file From 27c076a7a14b48f3edf5b4a3476067d690b982c6 Mon Sep 17 00:00:00 2001 From: helo Date: Thu, 21 Mar 2019 10:46:56 +0100 Subject: [PATCH 07/11] update liftingline methods --- examples/02_Analysis_Example.ipynb | 144 +++++++++++++++++++++++++++++ examples/Analysis_Example.ipynb | 63 ++++--------- examples/Liftdistribution.pdf | Bin 18137 -> 18157 bytes examples/Liftdistribution.png | Bin 37059 -> 35842 bytes wingstructure/aero/__init__.py | 2 +- wingstructure/aero/analysis.py | 4 - wingstructure/aero/liftingline.py | 82 +++++++++++++--- wingstructure/aero/multhop.py | 57 +++++++++--- wingstructure/data/geometry.py | 8 +- 9 files changed, 280 insertions(+), 80 deletions(-) create mode 100644 examples/02_Analysis_Example.ipynb diff --git a/examples/02_Analysis_Example.ipynb b/examples/02_Analysis_Example.ipynb new file mode 100644 index 0000000..6102202 --- /dev/null +++ b/examples/02_Analysis_Example.ipynb @@ -0,0 +1,144 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from matplotlib import pyplot as plt\n", + "from wingstructure import data, aero\n", + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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pH7/7pON2lyu+/tOjCFUAZkQwd1BKymB4/B8kp6a8I7/Xdz0ALC6tbACoyHF9FwAArBDMHQ2G48sHw/HlfdcBwGJzjLm7q/suAIDF5xgzAFREKxsAKiKYOxoMx1cNhuOr+q4DgMUmmAGgIoIZACoimAGgIoIZACoimAGgIoIZACoimAGgIoIZACpirezuruy7AAAWn7WyAaAiWtkAUBHB3JG1sgGYB8eYu7u07wIAWHyOMQNARbSyOxoMx2cMhuMz+q4DgMWmld3dZe3ltj6LAGCxmTEDQEUEMwBURDADQEUEMwBURDADQEUEMwBURDADQEUEMwBUxAIj3V3adwEALD5rZQNARbSyO7JWNgDzoJXdnbWyAZg5wdzdu/suAIDF5xgzAFTEMeaOBsPx2YPh+Oy+6wBgsWlld3dxe7mtzyIAWGxmzABQEcEMABURzABQEcEMABURzABQEcEMABURzABQEcEMABWxwEh31soGYOaslQ0AFdHK7sha2QDMg1Z2d9bKBmDmBHN3b+q7AAAWn2PMAFARx5g7GgzH5wyG43P6rgOAxaaV3d3b28ttfRYBwGIzYwaAighmAKiIYAaAighmAKiIYAaAighmAKiIYAaAighmAKiIBUa6s1Y2ADNnrWwAqIhWdkfWygZgHrSyu7NWNgAzJ5i7e3XfBQCw+BxjBoCKOMbc0WA4Pm8wHJ/Xdx0ALDat7O5e315+pNcqAFhoZswAUBHBDAAVEcwAUBHBDAAVEcwAUBHBDAAVEcwAUBHBDAAVscBId9bKBmDmrJUNABXRyu7IWtkAzINWdnfWygZg5gRzdy/puwAAFp9jzABQEceYOxoMx9sHw/H2vusAYLEJ5u62txsAzIxgBoCKCGYAqIhgBoCKCGYAqIhgBoCKCGYAqIhgBoCKCGYAqIi1sruzVjYAM2etbACoiFZ2R9bKBmAeBHN322OtbABmTCsbACpixgwAFRHMHQ2G4/MHw/H5fdcBwGITzN2d224AMDOCGQAqIpgBoCKCGQAqIpgBoCKCGQAqIpgBoCKCGQAqIpgBoCLWygaAipgxA0BFBDMAVEQwA0BFBDMAVEQwA0BFBDMAVEQwA0BFBDMAVEQwA0BFBDMAVEQwA0BFBDMAVEQwA0BFBDMAVEQwA0BFBDMAVEQwA0BFBDMAVEQwA0BFBDMAVEQwA0BFBDMAVEQwA0BF/h/GWdj1W6FdzgAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# create wing object\n", + "wing = data.Wing()\n", + "\n", + "# add sections to wing\n", + "wing.add_section(data.Point(0.0, 0.0, 0.0), 1.0, 0.0)\n", + "wing.add_section(data.Point(0.05, 4.25, 0.0), 0.7, 0.0)\n", + "wing.add_section(data.Point(0.1, 7.75, 0.0), 0.35, 0.0)\n", + "\n", + "# set fuselage with (=root of wing) to zero\n", + "wing.set_root_pos(0.0)\n", + "\n", + "# define spoiler position\n", + "wing.set_spoiler(1.5, 2.9)\n", + "\n", + "# define control-surfaces\n", + "wing.set_flap('flap', 1, 2.8,[0.7,0.7])\n", + "wing.set_flap('flap2', 4.25, 7, [0.7,0.8])\n", + "\n", + "# display simple wing\n", + "plt.figure(figsize=(8,5))\n", + "wing.plot()\n", + "plt.savefig('wing.png')" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "liftana = aero.LiftAnalysis.generate(wing)\n", + "\n", + "span_pos = liftana.ys\n", + "\n", + "α, distribution, C_Dib = liftana.calculate(C_L=0.8)\n", + "α_qr, distribution_q, C_Dia = liftana.calculate(C_L=0.8, \n", + " controls={'flap2': [50, -15]})\n", + "α_ab, distribution_ab, C_Di = liftana.calculate(C_L=0.8, airbrake=True)\n", + "\n", + "plt.figure(figsize=(8,5))\n", + "plt.plot(span_pos, distribution, label='clean')\n", + "plt.plot(span_pos, distribution_ab, '--', label='airbrakes')\n", + "plt.plot(span_pos, distribution_q, '-.', label='flaps')\n", + "plt.xlabel('wing span in m')\n", + "plt.ylabel('local lift coefficient $c_l$')\n", + "plt.title('Lift distribution for $C_L = 0,8$')\n", + "plt.grid()\n", + "plt.legend()\n", + "plt.savefig('Liftdistribution.png')\n", + "plt.savefig('Liftdistribution.pdf')" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'flap': ,\n", + " 'flap2': }" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "liftana._coontrol_surfaces" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.8" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/examples/Analysis_Example.ipynb b/examples/Analysis_Example.ipynb index f78555c..f8ced68 100644 --- a/examples/Analysis_Example.ipynb +++ b/examples/Analysis_Example.ipynb @@ -79,16 +79,19 @@ "metadata": {}, "outputs": [ { - "name": "stderr", + "name": "stdout", "output_type": "stream", "text": [ - "/home/jonathan/Programmieren/wingstructure/wingstructure/aero/analysis.py:33: UserWarning: No airfoil database defined, using default airfoil.\n", - " warn('No airfoil database defined, using default airfoil.')\n" + "0.01871572770370315\n", + "0.01871572770370315\n", + "dict_items([])\n", + "dict_items([('flap2', [5, -5])])\n", + "dict_items([])\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "
" ] @@ -98,14 +101,14 @@ } ], "source": [ - "liftana = aero.LiftAnalysis(wing)\n", + "liftana = aero.LiftAnalysis.generate(wing)\n", "\n", - "span_pos = liftana.calc_ys\n", + "span_pos = liftana.ys\n", "\n", - "α, distribution, C_Dib = liftana.calculate(C_L=0.8, return_C_Di=True)\n", + "α, distribution, C_Dib = liftana.calculate(C_L=0.8)\n", "α_qr, distribution_q, C_Dia = liftana.calculate(C_L=0.8, \n", - " flap_deflections={'flap2': [5, -15]}, return_C_Di=True)\n", - "α_ab, distribution_ab, C_Di = liftana.calculate(C_L=0.8, air_brake=True, return_C_Di=True)\n", + " controls={'flap2': [5, -5]})\n", + "α_ab, distribution_ab, C_Di = liftana.calculate(C_L=0.8, airbrake=True)\n", "\n", "plt.figure(figsize=(8,5))\n", "plt.plot(span_pos, distribution, label='clean')\n", @@ -138,36 +141,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "[0.03569992 0.07139983 0.10709975 0.14279967 0.17849958 0.2141995\n", - " 0.24989942 0.28559933 0.32129925 0.35699917 0.39269908 0.428399\n", - " 0.46409891 0.49979883 0.53549875 0.57119866 0.60689858 0.6425985\n", - " 0.67829841 0.71399833 0.74969825 0.78539816 0.82109808 0.856798\n", - " 0.89249791 0.92819783 0.96389775 0.99959766 1.03529758 1.0709975\n", - " 1.10669741 1.14239733 1.17809725 1.21379716 1.24949708 1.28519699\n", - " 1.32089691 1.35659683 1.39229674 1.42799666 1.46369658 1.49939649\n", - " 1.53509641 1.57079633 1.60649624 1.64219616 1.67789608 1.71359599\n", - " 1.74929591 1.78499583 1.82069574 1.85639566 1.89209558 1.92779549\n", - " 1.96349541 1.99919533 2.03489524 2.07059516 2.10629507 2.14199499\n", - " 2.17769491 2.21339482 2.24909474 2.28479466 2.32049457 2.35619449\n", - " 2.39189441 2.42759432 2.46329424 2.49899416 2.53469407 2.57039399\n", - " 2.60609391 2.64179382 2.67749374 2.71319366 2.74889357 2.78459349\n", - " 2.8202934 2.85599332 2.89169324 2.92739315 2.96309307 2.99879299\n", - " 3.0344929 3.07019282 3.10589274]\n", - "[0.03569992 0.07139983 0.10709975 0.14279967 0.17849958 0.2141995\n", - " 0.24989942 0.28559933 0.32129925 0.35699917 0.39269908 0.428399\n", - " 0.46409891 0.49979883 0.53549875 0.57119866 0.60689858 0.6425985\n", - " 0.67829841 0.71399833 0.74969825 0.78539816 0.82109808 0.856798\n", - " 0.89249791 0.92819783 0.96389775 0.99959766 1.03529758 1.0709975\n", - " 1.10669741 1.14239733 1.17809725 1.21379716 1.24949708 1.28519699\n", - " 1.32089691 1.35659683 1.39229674 1.42799666 1.46369658 1.49939649\n", - " 1.53509641 1.57079633 1.60649624 1.64219616 1.67789608 1.71359599\n", - " 1.74929591 1.78499583 1.82069574 1.85639566 1.89209558 1.92779549\n", - " 1.96349541 1.99919533 2.03489524 2.07059516 2.10629507 2.14199499\n", - " 2.17769491 2.21339482 2.24909474 2.28479466 2.32049457 2.35619449\n", - " 2.39189441 2.42759432 2.46329424 2.49899416 2.53469407 2.57039399\n", - " 2.60609391 2.64179382 2.67749374 2.71319366 2.74889357 2.78459349\n", - " 2.8202934 2.85599332 2.89169324 2.92739315 2.96309307 2.99879299\n", - " 3.0344929 3.07019282 3.10589274]\n" + "0.0935781315507477\n", + "-0.28072172161146763\n" ] } ], @@ -177,22 +152,22 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 7, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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" ] @@ -204,7 +179,7 @@ "source": [ "plt.figure(figsize=(15,10))\n", "plt.plot(res['ys'], res['c_ls'])\n", - "plt.plot(liftana.calc_ys, distribution_q, '+')" + "plt.plot(liftana.ys, distribution_q, '+')" ] }, { diff --git a/examples/Liftdistribution.pdf b/examples/Liftdistribution.pdf index abd57bcfaa87239be6848d94cdf374dcc12c7c26..ed5e3e3b5823b1d94c1d236096c985f0af95c01a 100644 GIT binary patch delta 4747 zcmZuvc|6qZyRH}6vXgAn#2^XtHM@P!Rxw1DvSk;^k|n;1nvs2vNLjL1mTVKUjtI$` zea|k@h?gAi@0`#1ou4_+U-##F?&p54`?{`gQ76};PQLqi5*(}K(b_qXtoAMxW{Qaz z5@wc}1Ug|2=sZfIGNo23DzX<=Sv ztQ4%IO|FX*7!N7Z#m8%3c!|AM25=y)K?YHZmjU>Dy%d%l8E+MBZ z%glVyDLkuTd&bJjs=-`o-_NJ+L;bA@#j=2Bmpqf$`Tqol&3JVl^pEm&@^pz=RQVZL zfH#fk?pb)XOB-zmLHvD!RudoToU3jkB`)jG^?7^niFw^5d>avGm>viU`pkp*=Iytd zm?hL>FI5tdY$z_&ePw5;F-<^De^5!2aOnirZB6}kk9s)y>cwZLZw;DE=WN;bBF8Pl zKUtdER#F&sV{J^WT(?T*Eit0YhpOR%CZJ25A5PNKy|#gKaLmBAj3S{6Ywb(7?ZQ2N z6J~Ypd4spr$M-1CRv0+45z0c1%^Byo3dTnsod)u6! 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zN27y)N|TsVr^`e=9iclNN*Y`{SC=kQW=o#+VuxVrqN56`EXFezxO8VI>{+_!Yf#br z^I2m1i_cqbuCn-k{(PZG1F#f1f|GjU@cjII`$==3IxoC%Kd!0c&*Cpqdw{#fEc*N! zTx8w>n@2X4pI93D`uL=zq#E+$5C6Sqy#m-v<(Idc;Gy!NYOjluAaDpUGbiWC=jZ1c zjwBfZ7anu6HQ(7+I~zDEQCqA!*;D8Aq4(c|flaY z&mWtYCA03{ja_t6V_D|A)$!5Mi`TC0t+4T{tFxOtc``%H{<^u1jf~HpJp+!>ZL(~RQX{(X5V4D6uj=;#E*$NPtei!%V%n*n_blm!L?4D zooi^9F4z0-SIDho0>#twGB4T4xlarfo-i*Ax3%FGn*xK7!`B_a|FJ{61{qv_z z6>V#8zj^DHRe_wKr4%r(Wb_0$KK%Nc9kfzJZ+drv0m$XX#>U$iUjPf{nGb|GSUgmO zYX1C~7@{?`^4YSTJ8zb)n>9)KM7w(J!Zfp1i>^d<&7o51*k!EBcmfgqa}0Jo|>PNzJ4ve z&DNziUHh{&Fjw#0YkT{)XPM6Fq^hb}z+tKjmo6PTaiRlgvRv`nwQFr^e@y{yPF#Z`0?CkQQzkhoh&Bevl;i3fW4K=s6vNG%gI;XNP9TR-_zyE@)9N$B_*Z4#qA4R@#R}efloat: - for flap in self.flaps.values(): + for flap in self.controls.values(): if flap.y_start <= span_pos <= flap.y_end: return flap.depth_at(span_pos)/self.chord_at(span_pos) return 0.0 @@ -488,7 +488,7 @@ def plot(self): plt.plot(y_positions, -1*np.array(x_positions)-np.array(chord_lengths), 'b') # draw flaps - for name, aflap in self.flaps.items(): + for name, aflap in self.controls.items(): y_pos = np.array([aflap.y_start, aflap.y_end]) y_pos = np.concatenate([y_pos, y_positions[(y_positions>aflap.y_start) & From 7c1e5927cba66a40bd320df9b920d5c3a621c689 Mon Sep 17 00:00:00 2001 From: helo Date: Thu, 21 Mar 2019 10:47:10 +0100 Subject: [PATCH 08/11] missing part.. --- wingstructure/aero/liftingline.py | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/wingstructure/aero/liftingline.py b/wingstructure/aero/liftingline.py index 45e0247..eea3d23 100644 --- a/wingstructure/aero/liftingline.py +++ b/wingstructure/aero/liftingline.py @@ -107,4 +107,6 @@ def calculate(wing, α=None, C_L=None, controls={}, airbrake=False, M=None, meth C_L -= base_res.C_L - base_res += C_L/aoa.C_L * aoa + base_res += (C_L/aoa.C_L) * aoa + + return {'c_ls': base_res.c_ls, 'a_is': base_res.α_is, 'C_L': base_res.C_L, 'a': } From bb2a66ac663881b222df985c7462c49e347ad5f2 Mon Sep 17 00:00:00 2001 From: helo Date: Sat, 23 Mar 2019 12:13:09 +0100 Subject: [PATCH 09/11] finish new aero calculation function --- examples/02_Analysis_Example.ipynb | 67 +++++++++++++++++++++++++---- examples/Liftdistribution.pdf | Bin 18157 -> 18157 bytes wingstructure/aero/__init__.py | 2 +- wingstructure/aero/liftingline.py | 18 +++++--- 4 files changed, 70 insertions(+), 17 deletions(-) diff --git a/examples/02_Analysis_Example.ipynb b/examples/02_Analysis_Example.ipynb index 6102202..1f2954a 100644 --- a/examples/02_Analysis_Example.ipynb +++ b/examples/02_Analysis_Example.ipynb @@ -54,12 +54,23 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.01871572770370315\n", + "0.01871572770370315\n", + "dict_items([])\n", + "dict_items([('flap2', [5, -5])])\n", + "dict_items([])\n" + ] + }, { "data": { - "image/png": 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\n", 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PKncd1ZCzHgoyoXAX9D0eBp2mznUvjGu+rDBAZKpK8o4aIssywWlzF3DchZx+J6gkn70W3j1PrRcaBb3GQep4GH+VSvwdkBSWxOGqwx4+YP/SSd7fpITcTeofOTwO9q+EBX+GiF6QOg7GXKYSsjlMLX/83WpqafFi9XrGE3D642AvgzL31XBNaeNVbdFu2PofqC5qXDdtElz/X/Vz4S6ISgdTz+ntStN6st0lu7E77QyPG+75jUsJtZUQYoM6O7x5BuRuBFedmm+0QEikSvKRqTDjqcbax4heqmBjMKplE4fwy5RXmTZtWuv7ShkDl32kaj7zNqukv/Q5GO5O/NlroeSAqhkwh7a6icSwRHIrcz37O/AzneT9xeWCLZ/Cz8/C4S0qMR9zKww5C+6adnSlayHUlWxoFCQOaT7vrGfVVF0MBVnqH7+pt2epC4DeU9QVcr8T1Jen/oumaVpQyavKI8IcwYj4EZ7ZYGk27P0Z9ixRU/JIuPQDMIVA/EDImAbpkyBxGESlNZ5bzKEw+aau7zcsFgad3vyz2iq1X4B178DauRASBeOuhKl3qYJVE0lhSWzI39D1GAKQTvK+JiVkfguLHlNXmwlDYeYzMKy+milSTd5mjVFftPQmgzNICWc8DnuXqS/nDw+pzyfdCGc+rebX1YDZ6v34NE3ziRPSTmDppUsReKDNzke/VzWFoM4xfY+HwWc2zj9/ztHvozMsYY0/z3wWhp0Lv/4frHxZJfwT74Pj7mhYJDEskRJ7CXannRBjiG9j9RKd5H1NCFg1BxxVcP7rMOL8wCklCwHDzlETQMVhdUUe01e9z90Ib86AoWfBiAuh/0nuNgGapnVnXboXX5AFm+ZD1ndwzbfq4n/QDEifrJJ70ggwBNADXAajOmf1PwlOvBcWPQ6u5v3zp0Wk0TuiN6X2UhLDEv0UqGfpJO8r+5ZDbH+ISFJXs9aYwE+QtkQYcUHje3M4jLxAXalv/BCssTDqEjjhf35T7aVpWuCzO+1c+c2V3DDqBk7tc2oHViiHjR+pqu9D6wEBfaeqAkFMHxhzqddj9oiEwXDx26p2EtRTSTnrmHnS35iZMdO/sXlYAF1mBSkpYdlsmHsW/Piw+syWGPgJvjXxA2DWC6ql/+8+UPfrN33UeM+rYCc4avwbo6ZpHVZqLyXWGkuosfWGaA3q7Oo1fwd8fZdqOHf643DXVrj6K5Xgu6P6BskHflGN9N49Fyry/RuTh+mSvLf99BQsfhyGzlIt34OBKQSGnKkmR7WqppMSPrwCKvLUEwHH3g4Ryf6OVNO0I0gMS+Tf0//d+kyXU5XaV72qGs/NekE98XPTEkgeFVz9bpz+GCSNwPHVndzy0amcOfluzht+pb+j8ghdkvemlf9WCX7M5XDR275pUOdrTRvhzXhSle5/+TfMHqvuednL/RebpmlH5HC1Mma8lLDje/j3VPj8ZlU7lzpBzRMCUkYHV4KvN+ZSzJd9iMtRBStfUQWYIOCzJC+EeFMIcVgIsbmN+UIIMVsIsVMIsVEIMa615boNRw2sfk09Enf27MBqgOINQqhHYy5+G25brR5l+emf6kkCTdMC0iVfXcLDKx5u/uGy5+H9i1SSu+htuGWF6lCmJ8g4kTdOeJbz+p4BpnZuYXQTvqyunwu8CLzTxvwZwED3NBl4xf3aPZlD4ZoFEBIBxh52VyQ2Ay6aC1PvhKSR6rMN88ASri56grEUoGndTJWjil0lu5jeezoU71O9x8UPhJEXqhq68df0zE6xhp6lJlAd+VjC/RvPUfJZ8VJKuQQoOsIi5wDvSGUlEC2ESPFNdB5UWwWL/6n+OWwJbfas1COkjFY1GFLCmrfUPfu5Z6ke/jRN86uthVtxSRcjDm6CFyfCgvvVjKg01SlNT0zwwEvrX+KCLy6A3M3w/GjI+q+/QzoqgVSHnAo0HRngoPuz7mXx42rKXufvSAKHEHD116rTn8Nb4dUT4Ms/qsEoNE3zPZeLLZv+D4Bh6+bB8HPh7Of9HFRgcEkXO0t2UhfbTz0m/OUfoabM32F1mZD1zwn6YmdC9AW+klL+pv9EIcTXwBNSyqXu9z8C90op17ay7I3AjQBJSUnj582b1+lYKioqsNlsnV7vSCLKdjBu3X0cSjmVHYNv8ei22+ON4/EGk6OCvnvn0SvnGzaMfpjS6Na70uwux9MZwXZMwXY8EHzH1Nbx9Mr+ltdLPmadNZyn4m6jLGqwH6LrPF/8fZaWL+XDog95JPUR0qvyGLfuz149p3flmE466aS1UsoJHVpYSumzCegLbG5j3qvApU3eZwIp7W1z/PjxsisWLVrUpfXa5LBL+eJkKZ8ZKmV1iWe33QEePx5vK81u/Hnpv6TcubDZ7G53PB0QbMcUbMcjZfAdU7PjKT8sZc569bO9Qs54/3j5p4V/9EtcXeWLv8/i/YvliLkj5IbDG9QHC/4i5YORUu5e4pX9deWYgDWyg3k3kKrrvwB+725lPwUolVIe8ndQHbbpY8jfpvp4D43ydzSBr34Anrpa1Zf0u+fC/OugPM+/cWlasHG5YM2b8OJ4+OQGcLkolXUcqC1muKcGpQki9d3ZNgw5e9JfIao3ZH7jx6i6zmfNvoUQHwDTgHghxEHgQcAMIKX8N/ANcCawE6gCrvFVbB7Rawwce0fzwRi09pkscNPPqreppc+qRi6nPAAyw9+RaVq3ZyvfDW88AtlrVH/yM58Fg4EthVsAvDO8bDeXFJ4EqNH5ADXIzU0/qVHuuiGfJXkp5RE7NXZXQdzqo3A8L2k4nPaIv6PonsyhcNL9MPIi+OZu+O4vhE54wd9RaVr3dmA149ferZLTeXNg1MUNj69uKXAn+Xid5FuKCYnBbDA3JnloTPBVRd0u2QdSdX33JCUsegLyM/0dSfcXPwCu/Bxu/Ikaq7tL3D1LGgeR0DStfU53L3ap49mdcQXcvgZGX9Ksf4pxSeO4dcytRFqCsBfOoySEIDEskbzKFrcOd3wHzwzudo8A6yR/tPb+DD89CfuW+TuS4CAEJA1TP+/8Ed4+G764Td271zTtyHZ8Dy9OgKI9YDBwoPcFasTLFsYnjefm0Tf7IcDuISksqXlJHtQQusYQdWuxG9FJ/mgtmw3hiTD6Mn9HEnwyToIT7lUN8/7vfFVVpmnab0mpxsr44BIIiWwcGbIVFbUVbCnYgsPZSr/1GgDHpR7HqPhRzT+0RsOEa2DLZ1Cy3z+BdYFO8kejshB2LYSxV/Tsnu28xWCAk/8K57+mhoJ8fboazlbTtEbOOvj6blhwn2r4e+2CxqdXWrE2by2/+/p3bCroXtXOvnTjqBu5a8Jdv50x8TqQLpXouwmd5I/G9q9AOlVvUZr3jLoYrvoS7GWQp09MmtbMsn/BmjfguD/Cxe+229f6qIRR/O+J/8vQuKE+CrB7ko19tjSK6QspY2DL536JqSt62MgpHuaoVkMwJo9qf1nt6PSeArevaxyuNwgGjtA0j5jyBzWwzLBzOrR4TGgMp/c93ctBdW9Ls5dy1+K7eHfGuwyObdEb4MxnulULe12SPxpTboYbftSjqvlKfYLP/Bb+NVJX3Ws9l5Sw5H+hIl9d7HYwwUsp+SjzI/aV7fNygN1bmi2NCwddSLi5lYJE2gQ10mY3oZN8V1WX6Ee7/CVljLov9un1jY8LaVpPsvp1WPgIbPuiU6sdqjzEIysfYUXOCi8FFhz6RvXl3on3khaR1voCuxbBDw/5NKau0km+q+ZfC+/M8ncUPVNkihoxK+dXWPyEv6PRNN/Kz4Tv/wYDpsOEazu16uaCzQCM0N3ZtqumroZSe2nrM3N+VY/SlRxofX4A0Um+K6qKYM9P0GusvyPpuYadA2OugJ+fhX3L/R2NpvlGXS18cr2qoj/n5U7fKtxcuBmTwcSgmEFeCjB4zPx0Jk+vfrr1mfW3R7b+x3cBdZFO8l2xdym46nQ/9f4240mI7Qf7V/o7Ek3zjaXPQe5GmPUCRCR1alUpJWty1zAoZhAWo8VLAQaP/tH92VG8o/WZcf0hYQjsXuTboLpAJ/muOPALmEJ1Sd7fQiLU4DbHt/I8q6YFo4nXwVnPwZCZnV71+33fs6lgE+cNOM8LgQWf4fHDySrJwu60t75A72PgwCpwOX0bWCfpJN8V+1dA6vgj9iql+UiITb3u/0W1ute0YGSvUJ3ehMd3+j48QJWjiqdXP82Q2CFcNOgiLwQYfIbHDafOVUdWcVbrC/Q5FiJSoOKwbwPrJP2cfFdMvRMMZn9HodWTUrV0zdsCf1gG0en+jkjTPEdK+PIOKDsEV38FBmOnN/HaptfIq8rj6ROfxtiF9XuiYXFqDI0tBVtab6g48iLVUVeA0yX5rhh6Ngw+w99RaPWEgHNfUr0PfnYzuFz+jkjTPGfTfNj8CQw4pUsJfm/pXuZumcus/rMYm6hvMXZUSngKMSExbCnc0voC3aR/FJ3kO+vgGshe5+8otJZiM+C0R2HfUtixwN/RaJpn1NXCDw+q24NT7+zSJmKtsVwx9AruHN+19XsqIQTD4oe1neQBlv4LXjnOd0F1gU7ynbXoMfjidn9HobVm7JUQ3QeWPK07KtKCw4YPoCwbTvpLl0rxAJGWSO6ecDfx1ngPBxf8hscNZ1fJLqrrqltfwBIOeZsD+nl5neQ7w1mnWlP2nuLvSLTWGE1wyt/VvbIAb/GqaR2y+RP1FE//Uzq9anVdNa8efpWN+Ru9EFjPMDxuOE7pJLMos/UF0ier1/2B24OgbnjXGXmbobZCPTqhBaaRF/o7gu6teK8aE6AiT03h8dDvBDX6VkfYK9QJL3ejGtfclgSp4yAqTdWudJP7mAHjik/U36ELv7fs8mxyanOoddZ6IbCeYWziWB4+9mHSI9pozJs0HCwR6n8+QBvh6STfGdlr1WvaRP/GoR2Z0wEbP4SEoZA23t/RBK5DG2DB/aqb1Du3gDkUVr4Cv/y7+XLmMLhvH5gscGijStz1HbHU2cFeri4GinbDixNVR1FNnT0bxl8FOetg7tlq3Yk3wOSbwaArE1vlcoGzVv1NotroP70dA2IG8EDqA0xInuDh4HqOmNAYzht4hH4FDEZ1jqnPDQFIJ/nOKNgBFhtE9/Z3JNqROB3w3wchZTRc+am/owk8zjo1BvniJ9WQmcNmNSaUiTfA8PPBlgjhCVB6EAp3qgQP8J9bVSk9YQijHWZYmqVuj5zzIsT0gxP+R1Vhpo4HR5UqhUb0UutaY2D81eri4rv7IfMbOPcV/chja7Z/Cd/8D1z9tRpGthNq6mr4ds+3nJlxJiahT/FH62D5QbYXbWd6n+mtLzD8PPU9CVD6P6Azpt0PY6/QVY6BzhIGx96mnp3PXqeqizXFUQ3vnKN6bRx+Hsx8tvnY2PEDgAGN7xOHqKnerBfUuA27f8KUtwfGXwODZ6h5QsC0PzcuGxoJEcmN72Mz4IzHVbX9r++qWoR3ZsFta7rcqCwo1Q8ja7F1ekjTvaV7ueene8gszsRkMBFBhJeC7Dm+3PUlr2x4hZWXrSTMHPbbBcZf7fOYOkMn+c6wRqtJC3wTrlP9fP/8DPzuPX9HEzjMVnW7aeINqv1CZy9Ye41R03F/ZO3ixUybNq3zMQgB436v7vWXHFAJ3uWEmtLmFxw9VdZ/VW3JOS916uLn2z3f8tDyhzAbzbx0ykuckHYCiw8s9l6cPcR5A8/j9L6nE2oKbXshR426TVXfA2cA0TfEOqqmDBY+Boe3+zsSrSNCI2HyH2D7V6onvJ6sPBc+uFTdTwc4/TEYdZH/a6Ri+kK/49XPy1+AlyZDZg/v40BKWPIURKXDqEs6tEpNXQ0Pr3iYe5fcy6CYQcw/ez4npJ3g5UB7juTwZDKiMzCINtJlTSk8ngJr3vRtYB2kk3xH5WeqL1/xHn9HonXU5JsgfYpq8d1T5W6Gl6fArkWqTUmgGjBdtQP44BJY9IS/o/Gfg2vg4GqY+icwtt919t7SvVzxzRV8vONjrhlxDW+e8SbJ4cntrqd1zsL9C3l7y9utzwyNUu1X8tt4zM7POl1dL4R4C6gA1gGrgS1S9oCeR/LdJfiEwf6NQ+u4sFi47jt/R+E/tZUw/xowWuDa7yEhgMcQTx4BNyyEL+6An54llanyAAAgAElEQVRUtxQGttHQKZilTYDff9H4/HUbpJS8uvFV3tr8VrPqec07lmYv5Zs933DZ0MswtzZuSfygxhwRYDpckhdCTBBChEsprwHuBXYA04FXvRVcQMnfroaXje7j70i0zqou6Zkj1C34MxRkwflzAjvB1zOFwNn/gsRh8MVt6j5nT1Lfj0DGiepJh1Y4nA5Adbm6pXALk1Mm6+p5Hzi217FUOirZlL+p9QUShqiasgAs73amuv4dwAkgpawGMoGdUsobvRFYwMnPhLiBuhVwd7TkafjwCijZ7+9IfMdZp6apd0LGNH9H03FmK1z4Flz0dpuJLmjNvwYW/7PN2SsPrWT6/OnsL1P/x8+e+CyzT56tq+d9YFLKJAzCwPKc5a0vkDAY7GVQfsi3gXVAZ5J8jZSy4dJaSlkAPOz5kAJU6QFdVd9dTbkFEPBLz6h0AlQXv+e9Aic/4O9IOi9xCPR2V1f3lAuzgp2w5TNo0rhLSklmUSZbClTD0QHRAxiTMAanVF02mztwz17zjEhLJCPiR7Aip43ua/udCKc/rmp7A0xnkvxuIcSMFp9ZPBlMQPvDClWVqHU/UalqvIF9bVyFBxOnAz6/BQ5vU++7c49yG+bB7HGqMVqw27cUADn8PDKLMnnh1xeY9fksLvzyQmb/OhuAeGs8z5/8PP2i+vkz0h7r2F7HsrlwM6X20t/OTBgEx9wakI+AduYMcDvwhBDifSHEHUKIV4FdXoor8BgMEKI7lui2UsdB7qbgv8+76HFY/x4c3urvSI7eoNNVZzrzr1WPKQUph8vBun0/MjshiVk//4kLv7yQ1ze9TlJYEg9MeYDHpz7u7xA1VJJ3SRercle1vkDJ/oB8XLfDreullIeEEOOBc4ExwEbgLm8FFlD2LoX178P0f4Atwd/RaF2ROgFcDsjfpkb1Cka7F6sOgMZeCSMu8Hc0R88aAxe8AW/NgK/uggte9/+z/R4gpUS4j2POxjm8sekNquqqMNhCmBiWzJXDfs8pvU8hzhrn50i1pkbEj8BmtrE8Zzmn9jn1twt8fI0aevaqL3wf3BF0qi5PSumUUn4ipXxASvmSlLLSW4EFlJxfVelI3wPrvgZMh//ZHbwJviIfPr1R9XM+o+3GW91O78lw0v2web76DnZDNXU12J12AJZnL2f6x9PJq8wDID0inbMzzuK5yHEsGXY7r5/+OhcPvlgn+ABkNpiZmDyRFTkraPWp8ahUKMvxfWDt0N3adkRptupHOjTK35FoXWUJU1OwWvqcelTwik9VaSKYTL0LDqwOyMeTWnK4HOwp3cPWwq1sLtjMxvyNZBVn8cTxT3BGvzOIs8YxLmkcNU5122hGvxnM6NeyqZMWqI5PO56imiIqHBVEWFrcvo1MU10SB9iQyjrJd0RZNkSmBtQfrqNcLkmt04XD6aLlKVIAZqMBs9GA0dD9jq3Ttn2pvoSzZvs7Es+b/iAMPVt1KhNsDEa47MOA/P5V1Fbw1e6v2F60nW1F29hZvJNalxq/3Wa2MSJ+BNeMuIaMaDXQzODYwTx94tPNN1JZqAoQxuA/HUtZfz6SuFq5aDMZBBajAZMxMBuMXjToIi4adFHrM6NS1ciL1cUB1QCvw/9VQoh/Sinva++zoFSWrf6AflbndHGguJqckmpyS2vILashr6yGwopa9uZU89zmpZTV1FFW7aDG4Wz4MnWE0SAwG9UXzGoxEm4xERZiJMxiItxiJDzERJTVTJTVTHSYueHn2PAQ4m0W4iNCiAgxNdxrDEiFu2Dd23DKgxAeZNWhphDoc4y/o/AeIaCqCHZ8pxrk+fAk6nA5KK8tJzY0Fikl9/x0D+OSxnH50MsBeOyXx4gKiWJI7BAuG3oZQ2KHMDRuKH0j+7bd33lTX94BRXvglsB++sNe56SwopaCCjuFFbWUVNdSUuWgtLpxKq+po6q2jkq7s9lrbZ2rU+cjgwCLyUCIyYgtxESk1UxkqInayhq+zt9AUmQoSVGhpESGkhwVSp+4MCJCfXc71elyYmzZZ0qkO0eUZXfPJA+cCrRM6DNa+Sz4GMydHvLxaJXXOFi7r5hf95ew83AFOw9XsKegklqnq9lyUVYz8TYL1EFamIXeceFEhJqwmo1YTAYsRkPDa8v8KyU4XC4cdZJapxOHU1Jb56K61kllbV3Da2FlLfsKqyitdlBS7cDpav2LajEZSLCppJ8SZSU1xkqvaCup0aH0iraSEmUlNtziv1qD1PHqNXstDDrNPzF4mssJc06ESTfBuCv9HY13Fe6Ez2+Gi+aqYXI9zOlyku/IZ+H+hews2cnOkp3sKtnFntI9TEiawJzT5iCEoMbZeI/dZrHxw4U/kBiW2PUL3Oy10Pd4Dx5J50gpqax1kltaQ05JdcOUXaLe55XXUFBup6ymrs1tRLgTcUSoqSEpp0SFEmYxYbWoZG0xqVrDEJMBs1FgaOX3VedS56D6iwK7w0m5vY5yd+GloFpyKKuA/Ar7b85DyZGhDEyy0T/BxvBekUzqF0vv2DCPFzxe3fAq87Pm8/0F3zffdu8pcPE7EJXm0f0drXaTvBDiD8AtQIYQYmOTWRHAMm8FFlB80P95ndPFit2F/LjtMKv2FLE9twyX+9ZO79gwBibamDYkgQEJNtJiwkiOCiU5MhSrRV1NLl68mGnTJnk9zvoTQmm1g5KqWooq1ZV9Qbl6za+wk19uZ2d+BT/tyKfa4Wy2vkHQUPpPiAgh3hZClNVMjfvLXFFTR4W9jrzCKuTKhTicLpwuiVNKnE5Jnfvn+m0ZhDpZCKFqI4xCYK6/sGlxkRNlcvEqBv77/Vcs3pxCmMWI1WzEajE2nJxsISZsoSYiQsyEhxiJCFU1FhZTYFYfkrtRPRpoCvF3JN7XaxxYImD3T0eV5KWUFNUUNTRum71uNstylrG7ZLe6V+5uO5VqS6V/dH+mpk5lVPyohvVfOuWlZttLCk9q+Nnlkioh1TiosKv/5Yqauob/7Up7XcMFdLXDibnyEA+UH+L97AS+nLMSe527Bq5OVWvX1rmw17moc7lwuSRSgktKXO5XKdXTvSaDAYMAk9GAQQhMBkGYxYisrWZO1som/9cmap2S/HK7+t66pxpH88KDQaikmRJtZWhyJPEDLMTZ1Pe1vuYuJsxClLuE7avq9cXu4Y2dLklBhZ1DpTXkllazu6CSnXkV7Myv4KM1B6iqVeedxIgQJvaN5bgB8Zw+PIk429F/TwbHDmZG3xnUOGuwmqyNMyKSYdg5R719T+tISf594FvgCeDPTT4vl1IWdWZnQogzgOcBI/C6lPLJFvN7A28D0e5l/iyl/KYz++hOXC7Jit2FfLUxh++25FFUWYvVbGRcn2huP3kgk/rFMiY9mvCQwLlXJ4RoSIap0dYjLiulpKTKQba7ZHCotKbhpJLvvijYU1BJabWDMIvRfSIyExFiIincQJ/UWEJMjScto8GA0QAGg0AgkFI2nPCcLomU6iLA4T45OpwSu7tEUFvnJN9uYp+hN9FFG/lvSR41DlWV2EbFRDNWs7HhFkWU1Uyk1UxMmJnYcAsx4RZiwy3EhlmItanXOJsFmy9uX+z+Sb326wF9lxtN0HeqelSwA6SUFNYUsqNoB7tKd3HF0CsQQvCPFf9gycElLLx4IQBltWVEh0Rz8eCLqcur46zJZ5ERnYFZWCmstFNUqS5m/7M+m2L3z0VVtRRXNq+qLq12UFbj6FD7wFCzAavZyJnG1QCsrcugzuUizGIiusnFaf0Fq/r/F+6LWvd3QNDwPahzSXUx7FI/1zldVDuc7M+pobbOxf7KKsrdF9Bmo6HhIrtffLhK2rYQEiNDSI0Oo1e0KkAE6n1xUBf0SZGhJEWGQnp0s3kul2RnfgWr9hSxZm8Rq/cW8/WmQ/zt800c0z+OM0emcNbIXkSFda16f1r6NKalT2t95p6fVX8qvcZ0adve0G72kFKWAqXApUezIyGEEXgJVe1/EFgthPhCStm0146/AR9JKV8RQgwDvgH6Hs1+j1rOr/DDQ3D6E5A0zCObdDhdfLE+h1eX7GJHXgXhFiOnDE3izJEpTBucQKg5OPrHF0IQ406CI1I792SCumL3whflm9PpV7yHNZerEc6kVBcCle5SV/2JsL5Gobym+Um8/h7kweIqNmc7KKqqpbbO1equQkwGEiJC1GQLobbczq+OHSRGhpASFUpypJXkqFBiwsxdvxjYvRgShqpSRE+QcSLs+BaK90FM42BRNXU17CrZxY7iHewo3kFWcRZZJVkU1TSWQ07tcyrJ4cmcnH4aSSEDWL6zgLzyGuLtlyLtdg7stJN1IJeFO4rIrzhESZWj1RCEgGirmZhwS8Ptsv4J4c0uAOvvIdtCzNia1BKFh6j2Lob6W1bf/wwrzTxzx5VeqY1R36NjPb7dQGYwCAYlRTAoKYIrpvRBSsm2Q+V8s+kQ32w6xF8/28zjX2/j0km9ue74fqREHbmw0ppaZy0Hyg/QP7p/8xmf3awuRM8PnC60O9PwLgS4AJV0G9aTUna0//pJqAFtdru3Nw84B2ia5CUQ6f45ioaKMz8q2KlOpB1pQNMOl0vywer9vLRwJzmlNQxOiuDZi0dz5siUoEnsAe/Mp5q9FUIQajYSajZ2qSpPSklVrbOhtFdUVUtRRS2FlXZ3lWgt+eV29hVWkVNcx08Hs35T0rOYDCS7GxD1igolLSaMtBhrw2tKdCghplb+Pxw1sH8ljL+q03F3W/1OpEoINm37iGETbibCEsH8HfN5dOWjDX26hxpD6RXWl4ywSQyzpuGyJ1FZkcDVr+0gt2yjO3nHAL80bDbMYiQhIgSLC/on2JiSEaeqpiMsxIVbiA0PITZcNTSNspo9165k2LmqvU9PuN3iJ0IIhvWKZFivSO4+bRCbs8t4Y+lu3lq+l7nL93Lu2FTuPX0wiZEd73f+8V8e57/7/svPv/u5eePKqFTV8C6AdKYe+D+oEv1awN6FfaUCB5q8Pwi0HDT5IeB7IcTtQDhqKFv/qv+DHWXr+qy8cv786SbW7itmQp8YHjtvJNMGJwR2a3QNAJd0UeWoosJRQUVtBRWOCkYljMIgDGQWZ3Kg/ACn9jmV9NgwVh1aRYHYR0wEJKSYMBqMGIURo8HI9q1ZjBg2ihqHgV4ho8krrWF30WEOl9dQXG7hUGk1q/cW88WGnGa3EISApIhQ0mOt9I0Lp19COP3iwhlgs9NvxEWYBp/pv1+Ol1U5qthSuIVNBZuYnDyZ4YnD2HzZ+1y//D5uNQ0j3DWCdYdCSXTNoLI8iYKiWMqrY8hv0s9XdJiZ1GgLaTFWJvSNISXK2nBRlRylqnxt7ltiquQ73ncHmDZeTZpPCCEYmRbFv343lrtPG8wbS/fw/qr9fLcll7+eOZRLJqZ36Jw8Pmk8n2R9QmZRJkPjhjbOiExVtb8BRLTac09rCwqxWUrZ5YdwhRAXAadLKa93v78SmCSlvL3JMne5Y3pGCHEM8AYwQkrparGtG4EbAZKSksbPmzev0/FUVFRgs9naXW5A1hyScxez9Pj3O70PUI1jvtzl4MtdDkJMcNkQC8f28vy92o4eT3fhzeMZteFBKmx92d3/Gqpd1RyqPUTfEPW40/rK9Wyo2kCps5QSZwkVzgpqZA2yRS8DT6U/hdVg5dOiT1lWsYxnej8DwNz8uaytWnvE/YeIEP639/82LL+/dj9/T/07AHMOzyG7NodQEYZRhiFcYTjrrDjqwqixh1FeHUFFVQyumsYWvLGhguRwQarNQJrNQGqEgVSbAavJuxeQnv4buaSLXEcue+x72Fe7j732veQ6cht+9wlVM6ktPIG8ajuu0L04q3uDKxSLEZLCDCSGCRKsgnirgXj3a5xVdOr34MvvkcVeRHjlPkqjhuEyeqckr88L7cutdPHWZjuZxS6GxBq4bkQICWFHrrktqSvhgewHOC/mPE6OPLnh84xdb5F28GuWnPBxh/t16MoxnXTSSWullBM6smxnSvLLhRAjpZSbOhVNo4NAepP3afy2Ov464AwAKeUKIUQoEA8cbrqQlHIOMAdgwoQJctq0aZ0Opr6VZrsOzYHY3h1btoUah5M7PviV73fmMWt0L/5+9jDiPdC6szUdPp5uwtPH45IuDpYfJLM4k/f3Ormwdg/Tpk3jvW3v8dyq51h40UISwhLYtWkXuTtySbQlkhGWQVxoHBGWCGxmGzaLezLbmJw8GbPRzIjqEZTXljeMDDamZkzD41Uu6aJO1uF0OXFKJytXrWTM+DG4XC5GJowEwHrISnFNMdP6qWPds3kPmcWZlNpLKbOXUVpbRIW9hDJ7GTJEQiSMjhrIIxPf4vDeLfzvgVdx1UViLrmEpTkVOMKWgcuKqzaW5LBeDElKZHByBKNSoxiVHk2vqFCPXWB66m9kd9q5a9E9rM1bR2VdGQAGVziO6jTqqobhrO6Ny55GXFQCQ9JtXB5ewMz8ZRROmkLKgLEkRYYE3DF1yNq5sOIhuH0dxPVvb+ku0eeFjrl4huTDNQd4/Jtt/HOdkzevHseotOgjrvPap69RYitpHk/odjjwOdMmjYTw+A7t29t/o84k+anANUKI3ajqegFIKeWoI6/WYDUwUAjRD8gGfgdc1mKZ/cApwFwhxFAgFMjvRIyeF5HUpY5Tiipruf7t1fx6oIQHzx7GNcfp4SF97XDVYZZlL2N5znJWHFrRMESkQcCYkiKSHTWcnH4y6RHpDV1UXjfyOq4beV2H9xFvjSfe2vhljg5t+8RwwHKA4XHDm302OaX5HatrRlzT6rou6aLEXkJ+VT51rjqG24DXZ7J19AyiBk3iymFTcTpdTH7/b9hd6iKjHFjjCueXfTE4MxNx2pOJMKQzMmEI49P6MDo9mtFpUUSH+XbEaIfTxd0L/0ZRpZ1edb9nw4FSDoTsx+UYSF1VBrGGQQxJ6MeQvpEMSopgcFIEAxJtDY+LUnIA/vVfeteeDFHduAOgg2vUIDw+7oND+y2DQXDppN5M7BvL1W+t4pJXV/Ly5eM4aUhim+uMThjN8pzlzQYcYtgsSJsAIZFtrudrnUnyR9XBspSyTghxG/Ad6vG4N6WUW4QQDwNrpJRfAHcDrwkh7kQ1wrtadvR+grec9VynV8krq+F3c1aSXVLNy5eNY8bIFC8EprWmqKaIuZvnsixnGTuKdwAqEZ+YdiJjE8cyJHYI/XMzsc6/FnI3kZI+kRRb4P99DMJAbGgssaHunrS2fwPSxW1jblGteQGj0cDCSxaSXZ7NwYqDHCxX096yfewo2klJ7TocwLaa41jyw9lI6SIk6StSTFOY1mcSxw2IZ3JGLJEe7DnM7rTzS84q/rPjBzblbyex8k7W7C3GFV0OgK3qMKPSojgj7WnGpEczKi2q/QaQ0ekQ2181iD3mFo/F6nPZa1UHTbpdTsAYkGjj01uO5dq5q7n+nTU8feEozh/Xeuc2oxJG8eXuL8muyCYtwr1MZC81BZDOJPn9wOVAhpTyYfcz7cnAvo5uwP3M+zctPvt7k5+3Asd1IqaAU+NwcuM7a8grq+G96yczsW/gdG8YrBwuB/lV+fSy9cJsMDMvcx4j40fyp3F/YmrqVAbFDGpenWtx18xkr4H0if4J+mjtXgwmK6Q1jz/SEklkXGTzxkBuxTXF7CzZSaQlkpSwDH7etZO/r11PeN1g5q3ezztrVhGS+C2JliFMTB7LzMGTOLZ/cust+4+g1F7KB1u+5rvdC9ld+SsuapEuM87KATgdJfxuYm/G97mfMenRpMVYu1bVnjENNn4ITkf3HB3SXg6Ht8HQWf6ORGshMSKUD288hhveWcN9n2wkLSaMSf1+ex4fnTAagI35GxuTvKNGjZiYMhqSR/oy7DZ1Jsm/DLiAk4GHUbWBnwDd9CzZAVVF8OYZaqjLDvSwJaXk/k83seFgKa9eOV4neB+5/cfbKawp5KOzPiLCEsHPv/uZkCM1ZIpMgTGXQ3Rv3wXpabsXQ59jO/XoVUxoDBOTG7+uM4cPZcawFThdTlzSwAcbFvHathKKnJ/xXfFnLFhhRCzqy4jo47l27CxOGTig8fnuFqSU/LB7Ja/++j6ZFctAOHA5ogmpncS42GOYOWgqJwzo1anHlI4o40RY84YqDfee4plt+lLOekCqql0t4ISHmHjlivGc99Iy/vB/a/nPbceRFtN8FMuBMQOxmqxsyN/AmRn1T7hI+M+tcMrfu2WSnyylHCeE+BVASlkshPDtzTxfqyqEgkxVWuiAOUt289mv2dx96iBOH95DOifxg5q6Gj7f+Tmz+s8izBzG5UMvb9b6/YgJvt65L3sxQi8rO6T+L8deftSbMggDBnfPZlePn87V46dTVFPEyux1LNi5gl/ylrLZPpc7V7yNaUl/JsSfyN3HXMHQZNUOodJex4LNuby7fhG7TE8hnSFEuY5hVr9zuWT0MfSJC/fOY6J9j4fkUVBb6flt+0LvKXDTEnXbQQtIUVYzr101gXNfWsYN76zlkz8cQ5ilMWWaDCaGxw1nY36T3t7NVjCHqQJigOhMkne4e62TAEKIBFTJPnjV/6Gs7ZfINxwo4ckF25k5MoXbTh7g5cB6rq2FW7lr8V1kV2QTbg7n7P5nc3xaFwf3qCpyfyk73+OVX1mj4dIPPdYDY0uxobGc2X86Z/afjpSSTYczmbPuM1bmLWJl8f8x4/m+jEqLp8j8FsXrP6Uy93TSYlM4YfAfuXXSOQxLSfBKXM2ExcLNP3t/P95iNKsqXS2g9U+w8cKlY7l27moe/Xobj5/XvHR+z4R7CDW1qJ0Ki+u2SX428BmQKIR4DLgQ1Q1t8KoqVK/tDBvockn+/sUW4m0hPHnBSN3BjZd8lvUZj658lJjQGF477TWmpBxFNe2BVfDGqXDZR2ro0u7EbIXBZ/hkV0IIRiUN4cUZ9wP3s/XwQZZut/PpumxKnGYGJ8Vw/7nHMKFPjH/+7+tqVcO17nZf/od/qP+77niroYeZNjiRa47rx5vL9nDpxN6MTGvsont4/PDfrmCNacwdAaDDfbVKKd8D7kUNVHMIOFdK+bG3AgsI1e6rsXaS/Py1B9lwoIT7Zwzx6ZjGPYXdaeeh5Q/x9+V/Z1zSOD46+6OjS/AAicNUV8UH13gmSF+REpbNhvxMv+x+WGIaN57QnwV/OoEXR13Bp5f+g4l9Y/2T4HPWwz/7dHjAmoBRmg1Ln4VDG/wdidZBf5w+kLjwEB78YjOuJt1RSin5LOszlmcvb1w4LK4xdwSATg1vJqXcDmz3UiyBJywO+p0IYW13alBa7eCfC7YzoU8M5409uq5vtd/KqcjhzsV3srVwKzeMvIFbx9yK0eCBfv5DbGpgl+xuluQLd8J/H3DHP9jf0fhXwmBwOVWSH3iqv6PpuPr/uVTdnW13ERlq5r4zBvM/8zfy2a/ZXDBetaYXQjBn4xxGxI/g2FT3QECzZoMxcJqrdWQ8+aVSyqlCiHJo1rdnfWc4gfPUv6cNnqGmI3j+hyyKqmp5e9YkXU3vYcuyl3Hfz/fhdDl5/qTnObn3ye2v1Blp42Hrf1TpuLv87epLrRnT/BhEgDBbIX1S43C73cXBNSoJBEjra61jLhiXxvur9vPEt9s5fURyw3gH7818j+iQJp1gBdhTO+1W10spp7pfI6SUkU2miKBO8B1QUlXL+6v2ceG4tE4PpaodmVM6mZc5j8SwROadNc/zCR4gdQLUlELhLs9v21t2L4ao3hCje1AE1MVO3iao8G/HmJ2SvVYleD3yXLdiMAj+NnMYBRV25q9pHGstNjS2+Uh02Wvhp6fBWeeHKH+rw/fkhRBvCyGim7yPEUK86Z2wAsSnN8J7F7U5++M1B6lxuLh2qj7heppRGHnh5Bf48KwP6RPZp/0VuqL/yXD28+22uQgYLifs/Vk9I95dah68LWOaet27xJ9RdJyUUJGnq+q7qfF9YhiTHs07K/Y13Js/UHaAh5Y/xK4Sd2Hh4BpY9CjUlPgx0kadGSR9lJSyIWopZTEw1vMhBZCS/eCobnWW0yV5d+U+JvWLZWhKj67Q8Lj1h9eT71AlM7PBiw0Zo9Nh/NXdJ8kX7YY6u66qbyplDEz7CyR1k6pvIeD2tXDaY/6OROuiq47tw+6CSpbtKgCgTtbxSdYnbCpwj91W/8h1gDxG15kkbxBCxNS/EULE0smGe91OVWGbCWBx5mH2F1Vx1TF9fRtTkJNS8sjKR3ir4C18MmxB8T7I/Nb7+/GE+IFw3z4Ycpa/IwkcRhNMuw8SBvk7ks4xBU7DLK1zzhyZQly4hbeXqx7d0yPSsRgsjSX5+pwRII/RdSbJP4MabvYR96Ayy4GnvBNWgKgqarMjnLdX7CMpMoTThif5OKjgJoTglemvcFncZb5pyLjmTfjwStXndHdgDlWT1shRDVk/QMXh9pf1tx8fga/u9HcU2lEIMRm5dFJvftyex4GiKkwGExnRGWSVZKkF6pN8gDxG15nn5N9BdYCThxr+9Xwp5bveCszvXC71Rwr77TCz+wurWLIjn8sn98Fs7Mx1knYktc5apJQkhiWSZml95CePS5sALgfkbfHN/rrKUQNvnAY7vvN3JIGnZD+8dwFkftP+sv624ztVe6R1a5dN7o1BCN5ftR+A/tH9m5Tk3TmjG5bkkVJukVK+KKV8wT1iXPBy1sKoSyB13G9mfb81F0A/F+9hz659luu/v546lw9bpdY/7lKe47t9dsWBlXDgF39HEZjiB0FESvfoFKcsG2K81JBU85le0VaO7R/H91tULhgQPYDcylzKa8shMhXu2QmjL/NzlEq7SV4IsdT9Wi6EKGsylQshyrwfop+YQ+G8f8OQmb+Z9cO2PAYnRZAeG9bKilpX7C3dy4fbP6R3ZG9MBh829ajv6KiywHf77Io9S8BgUiPPac0JoTqt2rNEtV4PVC4nVBcfsXMtrfs4eUgiu/Ir2VtQydH+C4MAACAASURBVMDogQCqNG8wgi1BtRcJAPo5+bZI2eoJo7Taweq9xZwyNNEPQQWvZ9c+i8Vo4dYxt/p2x+HdJMkX7oKYvhAS4e9IAlPScFU9ag/gckdVESAb/+e0bu2UIao91g/b8hgQowYl21myU81c/gJsmOev0JrpSEn+XffrH70fTgDZ8R08lvyb/qV/2pGP0yV1kveg1bmrWXRgEdePvJ54q49PgKYQuGYBjLvSt/vtrMp8CNf/c22yuRvABnKnOE676oAppq+/I9E8oHdcGAMTbSzcfpiU8BSsJmvjffkNH6reNANAR+oTxgsh+gDXCiHeQXVn20BKGRhNCD2tpgTqasBia/bxwm15xIZbGJMe08aKWme4pIunVz9NcngyVw7zU6Ltc4x/9tsZcQPUELNa6waeCresDLguRZuJSoMbfvR3FJoHnTI0idd/3k2F3cnI+JHUOmvVjLCYgHlOviNJ/hVgAdAPWEvzJC+BDC/E5X/2cvUa0nhHos7pYlFmPtOHJmE06B7HPGFp9lK2FW3j8amP/3ZcZl/Z+SPUVsKwWf7Zf0fMmu3vCAJbWGz36dRICxrThyby75928VNmPm+c/kbjDEsEVAXGUxQdaV0/SUo5FEBKmSGl7NdkCs4ED02SfGNJft3+EkqrHbqq3oPW5a3DZDBxWt/T/BfEqtfgp+Du8iHoOR3wyxw4sNrfkbRt/QfwylSoDozuTrWjN7Z3DDFhZn7cltd8RoitMYf4WUeSfH11faa7v/rYppO3A/Sb2goQRmhSuly1Rz33eNwA3XDGUzYVbGJwzGBCjH4crCM8DqoCuOFd6UF4djhs/9rfkQQuYYQFf4YdC/wdSduK96rBdFrcAtS6L6NBcOyAeFbvLWZ5znJ+/+3vKaguAEt4m12i+1pHquv/jaquzwDWtZgXvNX1qeNh8k3NBgLZcLCUjIRwoqxe7E+9B5FSkleVxzEpfr4nHp6gWtf/f3t3Hh9VdTd+/POdyWRfCIQESJAkCsguuxVZVFQEBXet1eLyaOturfZn66MPtbV9KmpbH60U60alte4rCm5BXEAU2UFkJ2whAUJmsk1mzu+PO8EBAskkM3PuTM6b17ySzNy593vJ8r3n3HPO164lZ6t2w4FSK5EZTXM4rO+je3fz2+pSXQ4p2baZWmWEx0kFHXh3+U48tUk4xUmNtwbOmQ6THtUdGtCCJK+Uegx4TESeVErdGIWY7OHESYfMkVdKsXTbfkabVnzYiAhvn/829f56vYGk5lir3tVW2nNwW2PiSje3iY4pvbM1C8GuPOVmjnwcGtTd+pvhqDuBZyc8qzmaI4Wy4t3NInKliNwHICLHiciICMWln7fGWrwiYNeBWvZU1R38hhrhISJ6u+rhh3nLNlmG8giewJrsJskfW1quvVvynnIzRz4O9c/PxCGwbFvQWIvNn8GbN9vivnwoSf4J4EdA41p9VYHn4tOLV8DTZx78ctm2SgAGFmTpiijuPLn0SX6/8Pe6w4BeE+C2b+07/aqx8EpaZ71x2F16nr3nyXcdCD1G6Y7CCLPUxAR65WWwrLSSqe9N5X+/+l+rLPS3L9hikGUoN4dGKqWGiMi3YNWTF5H4rZdY5z5kgMyy0v24nGJqx4eRx+vB4/XoDsPqordjN32j7CLof5G1cI9xdGf93lpS1K4m/FF3BEaEDCrowNzVu+iTV8/G/RuhW6D0cb1bb2CEluS9IuLEGmyHiHQG/BGJyg7q3Yd0jy7btp8+XTNJdh35R2TD/g0UZRXhEFORLhR3Db9LdwiW+mpY/JTVyioYpjuaIw28xHoYx5Z2ZMVIw4iGQd078J+vt5HtymOrZ/0Py0/X6U/yoWSlx4DXgTwReRD4DPhDRKKyg6CWvN+vWFFa2WRXfWVdJRe+dSHj/jOO3yz4DXtr7bHKkd35lY2uD0Xgg/vtW8XMzkVX7KT8e/jgf+CADSsKeirgoWLbrGduhNfB3NDQkR3uHfhdgeJl9TF0T14pNRv4FVZi3wGcr5R6OVKBaVfvPrgQzsZyD1V1DQwqsLp0lVK8su4VvH4vic5E/nDqHxiVP4r3Nr3HP1b8Q2fUMWPWqllMeHUC1d5q3aGAKwVcafYdePfECHi7fZWOaJUDO+Dzv1jFfOzGs8f6+YpmhUUjanp3ySApwYGnOhOv38sefFYj0efVHVpI3fUASfywrG383o8HOPkma6AMsGanVdmqXzfrau2rXV/x2y9/S5IzifOOP49JxZOYVDyJel89b214i9uH3K5/xLjNrShfAUCqyybletNy7FuJ7sBOSEjRHYX9Nd5es+MI+8bFllLNLYV45HI6OLFrJnv3p4MLdqRmkPeb7brDAkJoyQeq0M0GOgO5wAsicmukAtNu7N3Q62wANpdbg8OKctIAGNl1JLMnzmZi0cRD3nJJ70uorKtk3uZ50Y01Bq0oX8GAnAG6w/hBWo49V72rr7a6/NLNyPpmNVais+Nc+cYLSDNDIm4VdUqlbJ91Mb7DbZ9bRqHck78Oa4T9/yil7gdOBq6PTFia+X1QtQsa6gDYVOGhS2YyKYlOVOD+6MDOA3EeNpJ3RJcRHJdxHK+seyXqIceS8ppydnp22ivJp9q0JX9wjnye3jhiQXIHqzvczi15M08+bhXmpLF7n9XBXVG9B165Fla9rjmq0JK8AL6gr30cVnY2blSWwiO9YYU15GBzuYfCHKtb+c6SO3lsSdMVwRzi4OJeF7OkbAnr962PWrixZvme5QAM6GyjJH/h3+E6G/bAHJwjbxbCaZbDYf0/2aTE5yE6FEK/C013fRwrykkDfwoJkkBF7T6rnvzO5brDCinJPwssEpFpIjINWAg8fey3xKjGuY2B0fWbK6opyknj+33f8+HWD49ZEnXKCVNwOVy8+v2r0Yg0Jq0sX4lTnPTp2Ed3KD9IybYG4NlNSjYMuw5yTtAdSWy4bYk9y/L2HA+XPAtOU/ciXlm3c4VB2adRmFVo5Q8bzJMPZXT9o8A1wF5gH3CNUuovkQpMq8a5jUnpVNZ42eupp7BTGvO2zMMhDi7pdfQ5yx2TO3LdgOvo26lvlIKNPcvLl9Mru5e++vFN2bYY3rvHqitvJzk94dxHoWN81oEKOzteqAH4bTRl1IiIwsCYrZMzb+aCnhdYc+VtME8+pNH1SqklHFmJLv40zm1MzDg46K4wJ41ZW76gf05/spOzj/n2m0+6OdIRxiy/8rOqfNURgxa1q/geFj0JI2+wV0Kt94AzyVQua6mVr8HWL2HidN2RHOqf51ur8V2l/x6tERmZyS46pSWyudyDUgqJtZa8iDwvIh2Cvs4WkWciE5ZmQS35zRVWks/N8rGyfCWndDul2bcrpdjh3kFZdVkko4xJmys34/a67XU/Hn6oDuax2Vz5ef9tjQ8xWmbXCvj6Gfu1nD3lYJfpokbEFOak8eX+Z5j0+iSrFkbQ0ui6hHJPfqBS6uBq+0qpfcDg8IdkA7l9YfxvIaMrm8o9iMDOupX4lb9FSR5g8huTmbVqVoQDjT3JCcn814D/YmjeUN2hHKpxSVS7Tb9yl5lpV6FIzwV/A9Ts0x3JoTx7zKC7dqCwUxruygImFU+Cn7wEFzypO6SQkrxDRA72U4tIR0Ls7heRCSLynYisF5F7jrLNpSKyWkRWici/Qtl/2HTuBafeAakd2VzuoVtWCovLFpLuSqd/Tv9m3y4i/H7U7znv+POiEGxs6ZbejduH3E73jO66QzlUY0vebnPl3WVmjnwoGhfE8dioF83vt1a7M9Pn4l5RTioVZX24pu/PdIdyUChJ+hHgCxF5BatIzaXAgy19c6C4zRPAmUApsFhE3lJKrQ7apifwa2BUoMqdnnlD7j3WffnsIjZVVFOYk8qXO75keJfhuBwtGx07oWhChIOMTasrVlOUVUSK3VZwa/wDbIP6z4fwlEHBcN1RxI60oFXvcm0ye6N2PyjfDxeSRtwqykkHFCt37mLwjjdwbV8CF+u9qx3K6PpZwEXAbmAPcKFS6p8hHGsEsF4ptVEpVQ+8CEw5bJvrgScCtwJQSum5HF/4BDw+AkTYUuEhJ7uK7e7tLe6qB9jl2cVHWz86uHiOAbUNtfzk3Z8wc/lM3aEcKTEN7quAH9ls0KS7zMyRD0V6HiRlWisF2oUI/OgWyLfZLSoj7ApzUnGmree6knNYvnsJbPhYd0ghj65fDaxudsOm5QPbgr4uBUYetk0vABH5HHAC05RS77fyeK3XUAeuFGq9PvZXe8nP7MxdJ97F2IKxLd7Fh1s+5E+L/8Snl33a7Gj89sIhDv5y2l8oyCjQHUrT7DaC3e+D0b80ySEUnXvBr7c1v100pWTD2S3u9DRiWNesFFSDNZWuQtTBVVN1iuZftaZWxzu8mZsA9ATGAQXAAhHpHzzgD0BEbgBuAMjLy6OkpCTkYNxu91Hf13PrRjr7hbc+mA9A3e5Kerh68N2e7/iO71q0/33V1sCfN+e/SWFSYcjxhepY52M32wL/jkXH+XTf+hqiGtja49KI7L915zTMujTeFur7Ii+WfuZaKhLn5PDVIcqPz5lsteqjKN6+R3Y/H6UU4rNqya/fW86Z3lrmf/LJMb/vkT6naCb5UiB4tFUBVsnaw7dZqJTyAptE5DuspL84eCOl1ExgJsCwYcPUuHHjQg6mpKSEo75v33/Ak0lx35Pg0y/p0TeZPr17kZfW8vXDC/YVMPOtmeT2zGVccejxheqY52MTn2z9hE4pnRjYeWCz22o5nxceB88eiiN03JDPqc5t3c9N72K/XgZs/DM351eQ0QVG3xnyWyNyTl8/A+/8An6xGrLyw7vvZtj2e9RKsXA+eYs+oApBZWciW/yMG3PqMVc6jPQ5hTJP/k8tee4YFgM9RaRIRBKBy4G3DtvmDeC0wL5zsLrvN4ZwjPBoqIWEZMqqrK6W577/HY98/UhIu8jPsH6ZS92lYQ8vVv1p8Z94btVzusM4urTO9qopv+Ej+HM/KGvtHbJ2qnQxbP5MdxQ/aFx7wYyubxdyM1JxqjQqnAK5/cBXrzWeUKbQndnEc+e09M1KqQbgFmAusAZ4SSm1SkQeEJHJgc3mAhUishr4BLhbKRX9v7pDp8Jpv6bsQC0A94/8HVf3vzqkXaQkpJCTkkNplUnyABU1FWx3b2dgTvOteG3SOtmrEp3bVKBrlfRce02hqy63BgMmJOmOxIiC3IwkxJfB3vQcuOkLa1CvRs32AYrIjcBNQLGIBJfUyQA+D+VgSqk5wJzDnrs/6HMF3Bl46FM8DoDd768lwSGMOW4EDkfo99IK0gtMSz7gm93fALRonQFtUnOgocZaSlbzLyYQWJhHzCIqoUrPhR3f6o7iB55y8z1sR3Izk2jYncbeWntUQ2xJS34icC7WaPfzgh5DlVJXRjA2fcrWQsUGyg7U0bFjGfO2zsXr94a8m+4Z3U1LHmu9+qdWPEV+ej6DOg/SHc7RZXSxWs21lbojsbh3W128Nrwfb2tpuVZitcvStp49pqu+HcnNSMZbn8SBqp3wj/Gwb4vWeFqS5I8PfPwOOABUBR6Nq97Fnzdvgvd+RVlVLYlZS/nvz/4bR0h3NiwFGQXs8uzC6wv9AiGevL/pfdbuXcstg2/BZedSm4Muh7vWQWY33ZFY3HvMHPnWyC6EnF4/FJrS7aSfWOWCjXYhNyMJ/Mkc8FZb40M0L7DVkibCDOB9oAj4hkOnwinARiW7wqShDhKS2VNeB9m7KM4qxulwhrybgowCFIodnh30yOwRgUDtz+vz8ti3j9E7u7f9Ks/Z3bBrtP+BiElDrrIedjHoMt0RGFGUm5lEQ1VfJhyfDay0BnJr1GzzVCn1mFKqD/CsUqpYKVUU9Ii/BA+B0fVJlFXVUSc76Znds1W7OaXbKTw/4XnyUtvvwKmX1r3Edvd27hh6Bw4JvTckqjwV8K/LYd1c3ZFYep4J/S/UHYXRFkpB+Xpb1BU3oiM3I5kGdz/GpY6xnrB7km+klLoxkoHYircWnyOJvdXV1Kq9rS6mkpOSw5C8ISQnJIc5wNjg8XqYuXwmI7qMYFS3UbrDaV5CIqx7D8rW6I7ESg7bvrJf6dtYULULnpkAa+c0v22k1VbC40Phm+d0R2JESW5mEkgDG6rdNID9k7yIfBb4WCUiB4IeVSJyIPIhatBQS41KQBKsAVhd0rq0elcfbPmAhTsXhiuymOIQB5efeDm/GPoLJMorfbVKYjo4k+xRia7uADx9JiydrTuS2ONKga1fQsV63ZH8MCXTDLxrNzqlJZGYtZQ/VDzEroIh4LL5FDql1KmBjxmRD8cmzvsL26szcKxcAdCm7vbHv32c4qxiTu56criiixkpCSncOCiGOoBErD/Gdmg9uwN17c0c+dAlZUJCsj3myjdeMJoKdO2G0yFkSk9OSLyWzB9fB4mZWuMxc3Oa0uc8Nq/ahbisVbNCWc72cDPGzyArKStckcWMZ1Y+Q4/MHpxx3Bm6QwlNWo49WvKNCcrUkg+diDVX3m2DJG9a8u1Sl9TuJNeeQKbmBA8t666vCuqerzrs6/jrrvf7YcMn1JZvweGyuuvb0pLvmt6VVFdquKKLCV6/lzkb5/D59pDWSrKH3H72WLjEvdv6aFryrZNmkyRfbZJ8e5Sd5qDSs5R9fzsZVryiNZaWdNe3n256sFY8++f55BXfhiRUku5KJ60N91S+2/sd72x8h+sHXm+Lq7pocDlcvHjui9T59JdZDNkFT+qOwNLYXW/mybdO9xHaBzxZcZwM50y36iIY7UZSchVLnf/HZ3vKOU/zxabprj9coP6v2+/CV3EWz0+9q0272+nZyXOrnuOsHmcxoPOAcERoax9t/YhBnQeRk5JDgsP8eLVaz/GQ8g9Ijc/1piJuwh91R2DJPdF6GO1Kx+RM8MIBh0P7xabNJy5r4K0BoKrBSWZSFr069mrT7grSCwDYfGBzWyOzvVmrZnHHJ3cwY9kM3aG03srX4O9job5abxwdi2HgJdCKRZgMGylba82TN9qVTqlWr63b4TjYcNTFJPnDBa66DjQ4cXWcz5LdS9q0ux5ZPchJyWHuZpsssBIBfuVn+uLpTP96Omf2OJO7h9+tO6TWq3fDzqX6B99tXQg7luqNIZatfhP+MkD/ffn374HXf6Y3BiPqslNTUH4XB5wu6xawRibJHy5w1bWvQahOe4tFuxa1aXcuh4sLTriABdsXsNO9MxwR2kq9r557Pr2HWatn8eMTf8z0MdNJcsZwSc3GqU66S86+/2v46AG9McS6/Vt/GMCoS3W5GXTXDmWluFC+ZCoz8yG7SGssoYyuP/wRn6PrswrgipdZ6u/LIP8Mpvad2uZdXtzrYpRSvPr9q2EI0D6q6qv4+Yc/573N7/GLob/g1yN+3ao1/m2l8Q9ytea58p491jQwo3UaZyXoTvKeCjNHvh3KTHah/Mnszhti1aDQqCVr12copTKbeGQopeJvuHhyJvQ6iy31GXRITg7L9Ldu6d0YlT+K179/nQZ/QxiC1G/ZnmVcOedKvi37lj+O/iPX9r82Nla1a07j9DnPHn0xKGUlJ5PkW69xNLtb8/fRswfSbDAl04iqrBQX+JOprNPfDg6pu15EskVkhIiMaXxEKjBtqnbD2nep933LVmZTWRee2uKX9rqUspoy5pfOD8v+dFpatpSr5lyF2+tmxvgZnFt8ru6QwietMxSMgCSNM0drK8FXb+bIt4UdWvJ1B8DvNS35digzxYXypaAqlsHbt2uNpcVznETkv4DbgQJgKXAy8CVwemRC02THEnjxClxpP2aT93P86r/DstvRBaPJTc3l5e9ejr1V4AJ2uHfQLb0bgzoP4v+N+H+cf8L5bVpDwJaSM+G/PtAbQ+NgMTNHvvWS0uHEc6FD64pLhYUzCS57ATr30ReDoUVWitVd76HBajhqFEpL/nZgOLBFKXUaMBjQ2BcWIYHR9XXiBSAjMTwtugRHAjcMuIERXUeglArLPqPp78v+zkVvXURZdRkiwk/6/CT+ErxdZOXD1e9C8VjdkcS2y2dD/4v0Hd+VDH3Og5wT9MVgaJGZ4sK7byTXVKdonycfymoltUqpWhFBRJKUUmtFpHfEItMlMLre66wn2ZEW1gVdLjvxsrDtK9Ia/A3M3zafgowCenfszcSiiSQ6E8lOztYdWuS9fLVV4OQCTfP9E9Og8FQ9x443Sllr2etQuR32rIHjToHE9rW0dXuXkZSAv+Z4RtanaU/yobTkS0WkA/AG8IGIvAnsiExYGgUWw2lw1pOaEJlxhc+tfI6Zy2faskVfVl3GjGUzOPvVs7mj5A5eXvcyAN0zu3NN/2twOVyaI4yCmv1Qvk7f8Xcut9a79sXHIE1t3rwF/q5x2NCGj+CFi/SvuWBEncMhpKd6WJrgR2meJ9/iZqpS6oLAp9NE5BMgC3g/IlHpFGjJ+5x1ZERgrXmlFOv2raPeX49CIegfkb7Ls4sPt3zIB1s+4Nuyb1EoTul2CveOvJcxBfE3trJZaTmwd6O+4696Hb54DPpdqC+GeOB0wYHt+o7vMWVm27Pk7CXcm1HBhC7nkqgxjlb1RSulYn+I+NH0ncLiugJ8a/5GZmL4p76ICA+e+iAN/gYc4mCXZxcuh4tOKdGfZjNn4xxeWPMCK8pXANAzuyc3DrqRicUT6ZHZI+rx2EZaZ73z5D1lVgwOs1ZVm6TnWd9Hn9dK+NFWXQGuNNNV3051ZATp6kQcZ16pNY5QRtc/D9yulNof+DobeEQpdW2kgtMisytb0k9CHDVkJ0emDryI4HK6aPA3cNNHN7H1wFYmHz+Zqf2mhj25+pUfpRROh5PPtn/GU8uf4snxT5LqSmX9/vX4lI/bh9zO+OPGU5hVGNZjx6zUTtbytt5aa/BUtLnLzBz5cGicK+8ph8yu0T++p9zMkW/HOiV1o66mi/ZCXaEcfWBjggdQSu0TkcERiEmvXSvI2TgfnNV0SukQ0UMlOBJ4ZOwjPL/qed5c/yavrHuFMQVjGNh5IMd3OJ4TOpxAQXpBs6vI1fnqKPeWs2T3Espqytjt2c2myk2s27eO9fvX83+n/x8ju47EgQOFYm/tXlJdqdx80s3cNuS2iJ5jTOoyAPpOsQbMaEvyZo58mwXPldeR5KvLTVd9O5ac7Kbvnj/jfmIP6Td/pS2OUJK8Q0SylVL7AESkY4jvjw1r3mbMqj8hPYrJSY38SPKirCKmnTKNWwbfwr/X/pt3N757yII5CZLALYNv4boB11FRU8GdJXdyw8AbGJU/iqVlS/nZBz+juiFQMS1oGGSHpA70yu7FhT0vpGOyVa70lPxTOCX/lIPbxPwStJHS62zroYu7DPL66zt+vMjpBUOv0bew0Vm/B6/maoaGNr7ELfyn01Yu2VuPzmlooSTpR4AvROSVwNeXAA+GPyTNfF6UJKA2/YGbpp4ZtcPmpORw6+BbuXXwrXi8Hjbu38j6/evZWrWV/jnWH/wGfwMJjgR8ygdAbmouF/W6iKzELPZt28fowaPpnNqZvNQ8MhMz42OZ2fbo2vdAzAVYm3XuBef9Rd/xc80iOO1ZmisFaqFW6Z0lE8ro+lki8jU/rHB3oVJqdWTC0sjvxScJpCQmaLuXkuZKY0DnAQzoPOCQ5/PS8nj67KcPft0tvRu/Gv4rAEr2lTAqf1RU44xb+7daU6/OeQgGXhr942cXRv+Y8crvs5YIdqVE97hKwdLZkD/UJPt2KjXwM1ej/FrjCHX4rgsOzvmKzwnTPi+bEhJROf9h436N06gMfZIyoWafniI1Vbvg87/Cvi3RP3Y8eqgYPvxt9I9b74E3b4Z1c6N/bMMW0gJJvjbQ86pLi5O8iNwOzAZygFzgBRG5NVKBaePzUu5MoCHxOzxej+5oDB2Ss8Dh0pPk93wHH9xv9SYYbZfa0ZqSGG2NPzumlny7lZFkJXn3cac0s2VkhdIffR0wUinlARCRP2EVqPm/SASmzZi7eKd0JIU1BUd0lxvthIg1jc6jYaWyxuRgptCFR3reDwV/oqlxnQUzur7dSg+UKd9zosb6CYTWXS9AcL+DD2ywXFu4ZXZjPd1JdZmBT+1aWo6eBXEaS6OaJB8eaZ31JPnGC0TTkm+3MpKsJO+u0zvDIpSW/LPAIhF5HSu5nw88E5GodFr/IdkNs1mdXo9SI80I9faq/4Xg0rBSmbsMnImQHNk1GtqN9DzY9Gn0j1ttknx7l5VsVelMX/DfMOgSbSsfhjK6/lERKQFGYSX5qUqppZEKTJtvX6CLWswiSTEJvj0b/Us9x3WXWXXkzc9eePSaYCX6aFej6zMZugyEzPzoHdOwlczAPflaB+D3aouj2SQvIlVAcLk0CXpNKaUiU6pNF5+XanGQgIaVzgx70bGs7bl/htrK6B4znvUcbz2iLTkTug6M/nEN20hLSmRU6UDOVe9prSjZ7D15pVSGUioz6JER9IivBA/gb8AjgsuRpDsSQ6cFj8KDeQerEkaNKxkyzJK2YeP3wYEdUB/l+6Jr34XlL0X3mIatpLicdKrOpXuDT2tL3pS5OpzPS42AyxHlxTMMe2msWxDtwXcf/Q7WzYvuMePZjqXwaB/YvCC6x/36Wfjyiege07CV1EQnO1L3siwp0aqEqIlJ8odRPi81IiQ6THd9u9Y49Sma0+j8fvjsz7BtUfSOGe/SA5XoGmctREt1uRl0186lJjpZlrueGV0HQGKatjiimuRFZIKIfCci60XknmNsd7GIKBEZFs34AKrPe5K1dCHJJPn2rfEPdHUUk3zNXlA+M30unNIC/5fRnkbnqTBz5Nu55EQn+7ZdT6/j/mQtyqRJ1JK8iDiBJ4BzgL7Aj0WkbxPbZQC3AVqaM57EHLwOP8kJeqY7GDahoyXf2NpsrINutJ0rGZKyop/kTUu+3Ut1OZH6TiQ1JFljQzSJZkt+BLBeKbVRKVUPvAhMaWK73wEPAbVR+aBEuAAAH2FJREFUjO0gx9LZpDmqSHGae/LtWkYXOOU2yOkZvWM2JiJTSz680jtHt7u+3mOVmE3tFL1jGraT4HQwLOtdCpedDbtW6IsjisfKB7YFfV0KjAzeQEQGA92VUu+IyF1RjO2g9KVPkZdYR8dk05pq15Iz4azfRfeYNfusj6a7PrzG/Cq63aWuVLh7Azjjs4aX0XK7O2ziOWcmEzW25EUp1fxW4TiQyCXA2Uqp/wp8fRUwQil1a+BrB/AxcLVSanNg4Z27lFJfN7GvG4AbAPLy8oa++OKLIcfjdrtJT08/4vlBX97MF9Xd2DDw/zGws55Ss61xtPOJVXY4H2dDNQ5/A97E8MwUbck5ib8BJQ4Q+4+JtcP3KNzi7ZzM+eg1bdV0shI38D+5t3Mgq+mSw605p9NOO+0bpVSLxqxFM4uVAt2Dvi4AdgR9nQH0B0oCK811Ad4SkcmHJ3ql1ExgJsCwYcPUuHHjQg6mpKSEpt5X800CvmonI4cOZmRx7HS3He18YpUtzudvP4LsIvjxv8KyO1ucUxjFzPlU74V9m6za7s0IyzntXg2rXoMRN2jvlYmZ71ELxdr5uNb+hQaBIQP7Q9HoJreJ9DlFs7mwGOgpIkUikghcDrzV+KJSqlIplaOUKlRKFQILgSMSfKTV+ht4qls5K/ZHeV6tYT+pnaI7un7RTPjkj9E7Xnvx9TPw1OnWCobRsHMpfDod6t3ROZ5hWw5x4RVpH4vhKKUagFuAucAa4CWl1CoReUBEJkcrjuZ4/V58IricZu3wdi8tJ7qj61e+AhtLone89qJx/fh9m6JzvMafGTOFrt3zOdKpcqRAhx7aYojqTWel1BxgzmHP3X+UbcdFI6bDfX7qq2x7ey3jLz9Lx+ENO0nNiV5Lvq4Ktn9jjeg3wqvHj6yPmz6F3Kbvi4ZVdblVSTApI/LHMmzNl5BJtSRCp+O1xWD/0T1RVkk6VaSSnGD+a9q9rAKrWIx7T+SPteUL8DdA8bjIH6u9yS60HtHqJanYYPUemEqC7V6iwwl4wVujLQaTyQ6T8f0fySl+kHWVK3WHYujWeyKcMz06U6E2lkBCMnQf2eymRisUj4PNn0W+GphSUL4OCk+N7HGMmJCpanFQZxUs0iR25ohFSd7ud6nr0hGHRGdqoWFjnXtZj2gQh1X7PNqlbduLk2+GYddGfmqiCNz8lbUgjtHuOR2JNChBNdSjq1/HJPnD1IgfgMwkfQUFDBtx74GtX0DfphZnDKOzH4zs/tu7aF2sgZXok2JnLrcROb0TxvCHTf+E/u1gdH1M8PupDVxupbrM2vUG1nznl34K+7ZE7hgay1C2Kxvnwxf/F9ljvHETlPwpsscwYkaaK5tibwOi2sfa9fbn91LjsP5LUk2BGgOgaKz1cdP8yB3j7TvgaTObI+LWfwgfPRC5rnRvLax81aomaBhApZTxfGYGtdFao6EJJskH83mpDYyITUpI0hyMYQude0N6F6sVGAlKWYPuTFGayCseC7562PplZPZf+hU01P5wYWi0e7sp5eFO2bi7HFFwNWpMkg+WmMY7Xa63PnUkag7GsAURKBpjzbGORJ2HvRvhQKmZOhcNx/3Imr8eqQu2jfNBnFA4KjL7N2JOr8yzqfpuGtk9ml7SNhpMkg8mQr2yBt65HKaClBFQPBY8ZdbUqHBrnLtdPC78+zYOlZhmTVGM1Hz5TfMhfwgkZ0Vm/0bMSXUm0kPtx+fepy0Gk+SD1R6guOoLUILT4dQdjWEXfc6DO1ZaXffhtrEEsrpDx+Lw79s4UtFYq2BNuBcnUQq6DID+F4d3v0ZMO9CwmcldHqB8UYQHfB6DmUIXzFvNyZ7VrHJEcbqNYX/JWZFrnfW7AE44w6yOFi2jbocxd4X//1sEzv1zePdpxDwPe/h3h0zG13vopikGk+SD+X1cWuVmt/8U3ZEYdrP5c/jmOTj/SXCG8dem/4Xh25fRvIQIjbVxl0FaZ3OxZhwi0WkN4K73R3ilxWMw3fXBAnMZxWGufYzDuHfDipdgx5Lw7XPncmudcyO6Fs6AZ84J7z5nTbHWUzCMIEkJ1tiuOo1rYZgkH0z5eTS7A+9kfaY7EsNuisZYH8M5MvuD++A/V4Vvf0bLiFirGO7bHJ79ucugbDV0Gxye/RlxI8lp9RzVRbpmwjGYJB9M+clr8NPJ30F3JIbdpOVA3oDwLYrjrYEtX1oj943oKh5nfQzXBdumTwP7Nd9L41BJgdtDlbknaYvBJPlgHYv5d+K/SEq8R3ckhh0Vj4Vti6C+uu372rYIfHVm6pwOOb0CCxyVhGd/G0usgZld9f0hN+wpOZDkD6Qfpy0Gk+QP421QJDrNf4vRhOLTIKc3VO1s+742zgdHAvQwgzyjTsS6uNo0H/z+tu9v03woHA1m2q1xmOTAPfkGz25tMZgRZsEO7CAz5W42+vKAt3RHY9hNz/HWIxw2lkD+MEjKCM/+jND0nWJVivN62vY9UArOecgsgGM0qbEln7plLpx6rZYYTJIPVr2XVNmLR5lfWOMY/L62t9p+8gp49hz1Za/XS2lpKbW1+gpbNCcrK4s1a9boDuOYkpOTKSgowOU6bAXLEydaj7YSgd5hHqlvxI2UQA2Ueo1V6EySD6b81IuQIOa/xTiKZf+BOXfBHcshJbv1+0nrZD2OorS0lIyMDAoLCxGbzr2uqqoiI8O+PRFKKSoqKigtLaWoqOjIDfw+a4R9p+Nbf5DVb0GH46CbuR9vHKlrehfe3rwfio7+ux5p5uZzMOXDi0nyxjF06A51B2BzG6ZZLv4HfPXUMTepra2lU6dOtk3wsUBE6NSp09F7Qz64H2acCg11rTuA3w/v/AIWPtn6II24lpTgIs0vOCJR3KqFTJIPZlryRnPyh4ErtW3TrxY+Cd/Pa3Yzk+Db7pj/h8f9CLzVULq4dTsvWw3V5WbqnHFUCi8zOiazzG8K1NiDOKgVB04xFeiMo0hItEbEt3a+fGUpVKyPyalz06ZN4+GHH9YdRvgUngriaP0FW+PPgKkfbxxFYoLwSmYqX3Vowy2hNjJJPojqehLbyaYuuavuUAw7KxprlZ09sCP09zYmlOJx4YzIaI2UDtBtSOvny2+cD51OgKz8sIZlxI/0xFQqv3uQPt1u0haDSfJBvD4F4iPR1JI3jqXXBBjzK5AQR9grP6x5yypkkts3MrGF0axZsxg4cCCDBg3iqqsOXX53w4YNXHDBBQwdOpTRo0ezdu1aAN5++21GjhzJ4MGDGT9+PLt3W/ODp02bxrXXXsu4ceMoLi7msccei/r5NKl4HOxeFfp9eb8ftn9jWvHGMSUmOBgoG0itXK8tBnPzOUjDrlWkOKpJ94VhRTMjfnXuBaffa82RDpUjAYZeE1K1st++vYrVOw6Efqxj6Nstk/85r99RX1+1ahUPPvggn3/+OTk5Oezdu/eQxHzDDTfw8MMPM3jwYBYtWsRNN93Exx9/zKmnnsrChQsREf7xj3/w0EMP8cgjjwCwdu1aPvnkE6qqqujduzc33njjkVPbom3AxZDbBwJTnVrM4YBfrIJ6T2TiMuKCyykclz+Dys09gNO1xGCSfBDfgd1M8FSRkpGjOxQjFnz2KFRshLN+B6kdj75d+XoriYgDLn4WnPbvKfr444+5+OKLycmxfhc6dvzh/NxuN1988QVTp07F4bA6A+vqrJZwaWkpl112GTt37qS+vv6QqWuTJk0iKSmJpKQkcnNz2b17NwUFBVE8qybk9rEeAEv/TbftS4FxR99eKVj2b+jcG/KHgis5GlEaMcrldLAg3UGOt0ZbDCbJB/H7ffy+fC/vF5s5r0YL+Lyw/EVY9x6c9SAMuvzIFvq6efDqdVAwDLrf3qp65sdqcUeKUuqoI9P9fj8dOnTg888/P2Ke/K233sqdd97J5MmTKSkpYdq0aQdfS0r6obXsdDppaNBXmesISsHad+j1/Tvwdi2cM/3I71X599aUuc0LYMhPrSRvGMfgdAgOwK/CsHxyK5l78kH8vsZ68mYNaqMFxt0DP/sUOh4Pb/wcZk3+oT68UrDgEfjXpZBdCOf9VWuooTrjjDN46aWXqKioAGDv3r0HX8vMzKSoqIjXX38dsC4Ili1bBkBlZSX5+dZAtOeffz7KUbeBCFw6iy3HXQzfPAfPnwtVu6zXGuqg5H/hyVNg53I4989wbmx9Pw09nCI4FPgxSd4Wqrwehvco4POaRbpDMWJFXj+4dq71h3/XCqjdb92nfflq+OgB6H+R9XoHfVWoWqNfv37ce++9jB07lkGDBnHnnXce8vrs2bOZNWsWgwYNol+/frz55puANcDukksuYfTo0Qe7+mOGw8mm4qusWyq7VsDM06BmPyyZBSV/hD7nwS2LYdi11j15w2iGwyE4EPzoWwzHdNcHcyYz8YCPvLzuuiMxYonDYf3hH3gZJKZBXZXVoj/zd3DKrSENsrOTqVOnMnXq1CZfa2zJH95dP2XKFKZMmXLE9sHd9gArV64MW5xh1/9CyOkJGz6xptkNmWrdgy8aozsyIwbVKxfb0/poO75J8kH83U/n+Z2P8OjoQbpDMWJRYpr1MSkDrv+4VfffDZvoMsB6gPV9NAneaCUfLqpcHbQd3/Q5BfH6feCoBdFXMciIEybBG4YBJOAnpa5c2/FNkg9Suek9MnpPY82uV3WHYhiGYcSBdFVLXvVqbcc3ST6ICtT3TsS05A3DMIy2S1aCU9+4O3NPPliD35q363Ca/xbDMAyj7R4qTaVDmr5Fk0xLPojP7wUwpWYNwzCMsPCLA8w8eXvw+a1ueqdpyRtGkyZOnMj+/fubfC09Pb1N+467UraGAfwnu453k/Uta2uSfJB6h9Wl4nSGWKzCMNqJOXPm0KHDodOBlFL4/S1rqdhqKVvDiIIvkrrwWeZAbcePapIXkQki8p2IrBeRe5p4/U4RWS0iy0XkIxHpEc349uaNsD5JibGVugwjAs4//3yGDh1Kv379mDlzJgCFhYWUl5ezefNmhg0bxk033cSQIUPYtm0bAL/85S8ZMmQIZ5xxBnv2WANZx40bx29+8xvGjh3LX//616OWow321FNPcc4551BTU8OGDRuYMGHCEWVtX375Zfr378+gQYMYM8bMYzfsyVl5F12TbtF2/Kj1S4uIE3gCOBMoBRaLyFtKqeC5Bd8Cw5RS1SJyI/AQcFm0YmxQVisjwWG66w2beXbSkc/1Ox9GXA/11TD7kiNfP+kKGPwT8FTASz899LVr3m32kM888wwdO3akpqaG4cOHc9FFFx3y+vfff8/zzz/P3/72NwA8Hg9DhgzhkUce4YEHHuC3v/0tjz/+OAD79+9n/vz5AOzbt++o5WgBHn/8cebNm8cbb7xBUlISN9xwAzNmzKBnz56HlLV94IEHmDt3Lvn5+Ue9hWAYug1Wq+npTgAGazl+NLPZCGC9UmojgIi8CEwBDiZ5pdQnQdsvBK6MYnyk7vgCgCRfbTQPaxi29Nhjjx0sQrNt2za+//77Q14/7rjjOPnkkw9+7XA4uOwy65r8yiuv5MILLzz4WuPzcOxytP/85z8pKCjgjTfewOVyHSxre8klP1zENJa1HTVqFFdffTWXXnrpIccyDDtpSHue8tp64Gdajh/NJJ8PbAv6uhQYeYztrwPea+oFEbkBuAEgLy+PkpKSkINxu91HvM+3bQtX1x5g/+YKSmpC36dOTZ1PLIu384HQzikrK4uqqqofnrj4xaY3bNzmmK8nHvl68L6bsGDBAubOncu8efNITU1l4sSJ7N27F6UUbrcbt9tNSkrKoTECVVVVJCQk4Ha7UUpRVVWFL1DdsXHbm266iVtuuYWJEyeyYMEC/vjHP1JVVUVdXR29e/dmxYoVrF27lsLCQg4cOEBWVhYLFiw44jjTp09n8eLFzJ07l0GDBvHZZ5/RqVOnI86ltra2xf/v8fZzZ85Hvy2JXtx+31HjjvQ5RTPJN1Wlo8klAkTkSmAYMLap15VSM4GZAMOGDVPjxo0LOZiSkhIOf9+6A4u5eMl+Vk4cT/+eRU2/0aaaOp9YFm/nA6Gd05o1a44o/hJNXq+XnJwc8vLyWLt2LYsXLyY1NRUROTiKXkQOidHv9zN37lwuv/xy3nrrLcaMGUNGRgZOp5O0tLSD27rdbk444QQyMjJ4+eWXcTqdZGRkkJSUxIgRI7jtttu44oorDnbFFxcX8/7773PJJZeglGL58uUMGjSIDRs2cPrpp3P66aczb9489u/fT2Fh4RHnkpyczODBLesqjbefO3M++j26TlDCUeOO9DlFc+BdKRBc3q0A2HH4RiIyHrgXmKyUqotSbADUN3hxi5g5B0a7N2HCBBoaGhg4cCD33XffId3yR5OWlsaqVasYOnQoH3/8Mffff3+T2zVXjvbUU0/l4YcfZtKkSZSXlzN79myefvrpI8ra3n333QwYMID+/fszZswYBg0yhaUM+3EgGgvNRrclvxjoKSJFwHbgcuCK4A1EZDDwd2CCUqosirEBsKJhOz8u7M6Dno30J7Za8oYRTklJSbz33pF3yzZv3gxATk4OixYtOuQ1t9sNwO9+97tDnj+8K7Il5WjPPvtszj777IPHev/994/Y/rXXXmv2PAxDN9315KPWZlVKNQC3AHOBNcBLSqlVIvKAiEwObDYdSAdeFpGlIvJWtOID6JRUyI/LneSld4vmYQ3DMIw4VebsyjbXcdqOH9W5YkqpOcCcw567P+jz8dGM53A1Pa5g5pd9uTS9e/MbG4ZhGEYzvJKCknptxzd3n4NUN7hxJJbhV17doRiGYRhxQHCgNFY2NUk+yHcHvibt+EcpqzliPKBhGIZhhMwhDpTSV6DGLO0WpLHUrCvBqTkSwzAMIx4k0hGf0teeNkk+iC9QZCPRLGtrGIZhhEEhP2VvjbknbwsH1653mpa8YTz22GP06dOH/Px8brlFX4ENw4hlCQ7B59c3hc40WYM0Lr+Z6HRpjsQw9Pvb3/7Ge++9x/z58/n66691h2MYMWkHb1OeXAqM1nJ805IP0qCsJO9ymJa80b79/Oc/Z+PGjUyePJl9+/YdfD64TOzkyZMPlomdNm0aV111Faeffjo9e/bkqaeeAmDnzp2MGTOGk046if79+x+xBr1hxLtU6UJCg75p2aYlH8QfGAHpMt31hs1c8/41zW4ztmAsV/e/+uD2U06YwvknnM++2n3cWXLnIds+O+HZY+5rxowZvP/++3zyySe88847B58/9dRTD5aJffzxxw8pE7t8+XIWLlyIx+Nh8ODBTJo0iX//+9+cffbZ3Hvvvfh8Pqqrq0M8c8OIbXkJJ7O35oC245skH8QXGF1vuusNo2nBZWJra2s5/vjjD742ZcoUUlJSSElJ4bTTTuOrr75i+PDhXHvttXi9Xs4//3xOOukkjdEbRvQlOAS/uSdvD327ZfDZPkh1mSRv2EtzLe9jbZ+dnB3y+4/m1ltv5c4772Ty5MnMmTOHhx566OBrIocWmhQRxowZw6effsq7777LVVddxd13381Pf/rTsMRiGLHgtjN6Ul1nFsOxhdMLf8Rdw+4i2ZWkOxTDsKXKykry8/MB+Ne//nXIa2+++Sa1tbVUVFRQUlLC8OHD2bJlC7m5uVx//fVcd911LFmyREfYhqHN8Z3TGVCQpe34piUfpF9OP/rl9NMdhmHYVmOZ2Pz8fIYMGUJpaenB10aMGMGkSZPYunUr9913H926deP5559n+vTpuFwu0tPTmTVrlsboDaP9MUneMIwmNZaVvfrqq7n66quBQ8vEVlVVkZGRcXD7Xr16MXPmzEP2MXXqVKZOnRqVeA3DOJLprjcMwzCMOGVa8oZhtNm0adN0h2AYRhNMS94wDMMw4pRJ8oZhU0rpm1sbL8z/odHemSRvGDaUnJxMRUWFSVJtoJSioqKC5ORk3aEYhjbmnrxh2FBBQQGlpaXs2bNHdyhHVVtba/sEmpycTEFBge4wDEMbk+QNw4ZcLhdFRUW6wzimkpISBg8erDsMwzCOwXTXG4ZhGEacMkneMAzDMOKUSfKGYRiGEack1kfvisgeYEsr3poDlIc5HJ3M+dhfvJ1TvJ0PxN85mfOxv9acUw+lVOeWbBjzSb61RORrpdQw3XGEizkf+4u3c4q384H4OydzPvYX6XMy3fWGYRiGEadMkjcMwzCMONWek/zM5jeJKeZ87C/ezinezgfi75zM+dhfRM+p3d6TNwzDMIx4155b8oZhGIYR19ptkheRk0RkoYgsFZGvRWSE7pjCQURuFZHvRGSViDykO55wEJG7RESJSI7uWNpKRKaLyFoRWS4ir4tIB90xtYaITAj8nK0XkXt0x9MWItJdRD4RkTWB35vbdccUDiLiFJFvReQd3bGEg4h0EJFXAr8/a0TkR7pjagsR+UXg522liPxbRCJSCKLdJnngIeC3SqmTgPsDX8c0ETkNmAIMVEr1Ax7WHFKbiUh34Exgq+5YwuQDoL9SaiCwDvi15nhCJiJO4AngHKAv8GMR6as3qjZpAH6plOoDnAzcHOPn0+h2YI3uIMLor8D7SqkTgUHE8LmJSD5wGzBMKdUfcAKXR+JY7TnJKyAz8HkWsENjLOFyI/C/Sqk6AKVUmeZ4wuHPwK+wvl8xTyk1TynVEPhyIRCLJdJGAOuVUhuVUvXAi1gXlzFJKbVTKbUk8HkVVvLI1xtV24hIATAJ+IfuWMJBRDKBMcDTAEqpeqXUfr1RtVkCkCIiCUAqEcpB7TnJ3wFMF5FtWC3emGtRNaEXMFpEFonIfBEZrjugthCRycB2pdQy3bFEyLXAe7qDaIV8YFvQ16XEeFJsJCKFwGBgkd5I2uwvWBfHft2BhEkxsAd4NnAL4h8ikqY7qNZSSm3HyjtbgZ1ApVJqXiSOFdelZkXkQ6BLEy/dC5wB/EIp9aqIXIp1hTg+mvG1RjPnlABkY3U5DgdeEpFiZeMpFM2cz2+As6IbUdsd65yUUm8GtrkXq5t4djRjCxNp4jnb/oy1lIikA68CdyilDuiOp7VE5FygTCn1jYiM0x1PmCQAQ4BblVKLROSvwD3AfXrDah0Rycbq/SoC9gMvi8iVSqkXwn2suE7ySqmjJm0RmYV1zwrgZWKkW6uZc7oReC2Q1L8SET/Wush7ohVfqI52PiIyAOsXYJmIgNWtvURERiildkUxxJAd63sEICJTgXOBM+x8AXYMpUD3oK8LiPHbXSLiwkrws5VSr+mOp41GAZNFZCKQDGSKyAtKqSs1x9UWpUCpUqqxh+UVrCQfq8YDm5RSewBE5DXgFCDsSb49d9fvAMYGPj8d+F5jLOHyBta5ICK9gERitJiDUmqFUipXKVWolCrE+iUfYvcE3xwRmQD8P2CyUqpadzyttBjoKSJFIpKINWDoLc0xtZpYV5FPA2uUUo/qjqetlFK/VkoVBH5vLgc+jvEET+D3fpuI9A48dQawWmNIbbUVOFlEUgM/f2cQoYGEcd2Sb8b1wF8Dgx5qgRs0xxMOzwDPiMhKoB6YGqMtxXj2OJAEfBDooViolPq53pBCo5RqEJFbgLlYo4KfUUqt0hxWW4wCrgJWiMjSwHO/UUrN0RiTcaRbgdmBC8uNwDWa42m1wC2HV4AlWLftviVCK9+ZFe8MwzAMI0615+56wzAMw4hrJskbhmEYRpwySd4wDMMw4pRJ8oZhGIYRp0ySNwzDMIw4ZZK8YcQBEZkTixXtROQL3TEYRjwzU+gMwzAMI06Zlrxh2JyI/EpEbgt8/mcR+Tjw+Rki8kLg880ikiMihYFa208FalXPE5GUwDbDA3XsvwzUtV/ZxLG6isinIrI0UOd6dOB5t4g8IiJLROQjEekceP56EVksIstE5FURSQ08/5yIPCYiX4jIRhG5+Cjn5g58HCciJUH1wmcHVgI7fPuSwP/Bp4HzHC4ir4nI9yLy+3D8fxtGPDFJ3jDs71NgdODzYUB6YK31U4EFTWzfE3hCKdUPq/jFRYHnnwV+rpT6EeA7yrGuAOYqpU7CqtnduAJcGrBEKTUEmA/8T+D515RSw5VSjfW9rwvaV9dAjOcC/9uC8xyMVR2yL1bVsVFH2a5eKTUGmAG8CdwM9AeuFpFOLTiOYbQbJskbhv19AwwVkQygDvgSK9mPpukkv0kptTTovYWB+/UZSqnGe+D/OsqxFgPXiMg0YECgvjpYJUv/E/j8BazkDdBfRBaIyArgJ0C/oH29oZTyK6VWA3ktOM+vlFKlSik/1sVF4VG2a1wnfwWwKlAPvg5rqdPuR3mPYbRLJskbhs0ppbzAZqy1ur/ASuynAcfTdFGLuqDPfVg1KpoqD9vUsT4FxgDbgX+KyE+Ptmng43PALUqpAcBvsaqeNRVHS47fVNzH2s5/2Hv8x3iPYbRLJskbRmz4FLgr8HEB8HNgaUsLECml9gFVInJy4KnLm9pORHpg1SJ/Cqsy25DASw6g8b76FcBngc8zgJ2B2wc/CemMDMOIOHPVaxixYQFwL/ClUsojIrU03VV/LNcBT4mIBygBKpvYZhxwt4h4ATfQ2JL3AP1E5JvA+y4LPH8fsAjYgtV9nhFiTIZhRJCZQmcY7YSIpCulGkez3wN0VUrd3sL3upVS6REN0DCMsDMtecNoPyaJyK+xfu+3AFfrDccwjEgzLXnDMAzDiFNm4J1hGIZhxCmT5A3DMAwjTpkkbxiGYRhxyiR5wzAMw4hTJskbhmEYRpwySd4wDMMw4tT/B74JcyF4qa9LAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] @@ -75,7 +86,7 @@ "\n", "α, distribution, C_Dib = liftana.calculate(C_L=0.8)\n", "α_qr, distribution_q, C_Dia = liftana.calculate(C_L=0.8, \n", - " controls={'flap2': [50, -15]})\n", + " controls={'flap2': [5, -5]})\n", "α_ab, distribution_ab, C_Di = liftana.calculate(C_L=0.8, airbrake=True)\n", "\n", "plt.figure(figsize=(8,5))\n", @@ -93,23 +104,59 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "{'flap': ,\n", - " 'flap2': }" + "{'c_ls': array([0.17526834, 0.3342843 , 0.47155578, 0.58651597, 0.68078389,\n", + " 0.75697514, 0.81793964, 0.86639283, 0.90472905, 0.93496854,\n", + " 0.95876624, 0.97745008, 0.99207443, 1.00346589, 1.0122734 ,\n", + " 1.01899972, 1.02403923, 1.02769404, 1.03020185, 1.03173995,\n", + " 1.03244711, 1.03241758, 1.03171982, 1.03037879, 1.02838935,\n", + " 1.02566923, 1.02200214, 1.01913148, 1.02090594, 1.02139576,\n", + " 1.02110045, 1.02017507, 1.01872381, 1.01677718, 1.01435829,\n", + " 1.01144383, 1.00801175, 1.00398572, 0.99929012, 0.99375449,\n", + " 0.98719265, 0.97917582, 0.96914853, 0.95520178, 0.96914853,\n", + " 0.97917582, 0.98719265, 0.99375449, 0.99929012, 1.00398572,\n", + " 1.00801175, 1.01144383, 1.01435829, 1.01677718, 1.01872381,\n", + " 1.02017507, 1.02110045, 1.02139576, 1.02090594, 1.01913148,\n", + " 1.02200214, 1.02566923, 1.02838935, 1.03037879, 1.03171982,\n", + " 1.03241758, 1.03244711, 1.03173995, 1.03020185, 1.02769404,\n", + " 1.02403923, 1.01899972, 1.0122734 , 1.00346589, 0.99207443,\n", + " 0.97745008, 0.95876624, 0.93496854, 0.90472905, 0.86639283,\n", + " 0.81793964, 0.75697514, 0.68078389, 0.58651597, 0.47155578,\n", + " 0.3342843 , 0.17526834]),\n", + " 'a_is': array([0.14662398, 0.1213158 , 0.09946837, 0.08117189, 0.06616868,\n", + " 0.05404247, 0.04433967, 0.0366281 , 0.0305267 , 0.02571394,\n", + " 0.02192642, 0.01895279, 0.01662525, 0.01481225, 0.01341049,\n", + " 0.01233996, 0.0115379 , 0.01095622, 0.01055709, 0.01031229,\n", + " 0.01019974, 0.01020444, 0.01031549, 0.01052893, 0.01084555,\n", + " 0.01127848, 0.01186211, 0.01231899, 0.01203658, 0.01195862,\n", + " 0.01200562, 0.0121529 , 0.01238387, 0.01269369, 0.01307867,\n", + " 0.01354252, 0.01408875, 0.01472951, 0.01547684, 0.01635786,\n", + " 0.01740221, 0.01867813, 0.02027402, 0.02249372, 0.02027402,\n", + " 0.01867813, 0.01740221, 0.01635786, 0.01547684, 0.01472951,\n", + " 0.01408875, 0.01354252, 0.01307867, 0.01269369, 0.01238387,\n", + " 0.0121529 , 0.01200562, 0.01195862, 0.01203658, 0.01231899,\n", + " 0.01186211, 0.01127848, 0.01084555, 0.01052893, 0.01031549,\n", + " 0.01020444, 0.01019974, 0.01031229, 0.01055709, 0.01095622,\n", + " 0.0115379 , 0.01233996, 0.01341049, 0.01481225, 0.01662525,\n", + " 0.01895279, 0.02192642, 0.02571394, 0.0305267 , 0.0366281 ,\n", + " 0.04433967, 0.05404247, 0.06616868, 0.08117189, 0.09946837,\n", + " 0.1213158 , 0.14662398]),\n", + " 'C_L': 1.0,\n", + " 'alpha': 0.17451880288157148}" ] }, - "execution_count": 4, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "liftana._coontrol_surfaces" + "aero.calculate(wing, C_L=1.0)" ] }, { @@ -117,7 +164,9 @@ "execution_count": null, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "aero" + ] } ], "metadata": { diff --git a/examples/Liftdistribution.pdf b/examples/Liftdistribution.pdf index ed5e3e3b5823b1d94c1d236096c985f0af95c01a..a7675d20c4f3455a87bcaa207344347c28ba52d9 100644 GIT binary patch delta 22 dcmaFc%lNjJal>&(c4I>$Ljz;;&F38DSpjNQ2mJs5 delta 22 dcmaFc%lNjJal>&(c0)r0BNIc@&F38DSpjM|2l@a2 diff --git a/wingstructure/aero/__init__.py b/wingstructure/aero/__init__.py index ab032ca..cc02b45 100644 --- a/wingstructure/aero/__init__.py +++ b/wingstructure/aero/__init__.py @@ -1,3 +1,3 @@ from . import analysis, liftingline, nnliftingline, polarinterp -from .liftingline import AirfoilData, LiftAnalysis \ No newline at end of file +from .liftingline import AirfoilData, LiftAnalysis, calculate \ No newline at end of file diff --git a/wingstructure/aero/liftingline.py b/wingstructure/aero/liftingline.py index eea3d23..247cdaa 100644 --- a/wingstructure/aero/liftingline.py +++ b/wingstructure/aero/liftingline.py @@ -78,7 +78,7 @@ def _calc_controlsurface(self, name, deflections): return controllift * fac(deflections[0]) \ + controllift.flip() * fac(deflections[1]) -def calculate(wing, α=None, C_L=None, controls={}, airbrake=False, M=None, method='multhop', airfoil_db:dict=None): +def calculate(wing, alpha=None, C_L=None, controls={}, airbrake=False, M=None, method='multhop', airfoil_db:dict=defaultdict(AirfoilData)): ys = _calc_gridpoints(wing, M) @@ -92,21 +92,25 @@ def calculate(wing, α=None, C_L=None, controls={}, airbrake=False, M=None, meth if airbrake: base_res += calculator.airbrakelift() - for name, (η_r, η_l) in controls.item(): + for name, (η_r, η_l) in controls.items(): base_res += calculator.controlsurfacelift(name, η_r) base_res += calculator.controlsurfacelift(name, η_l).flip() - if α is not None: - base_res += calculator.aoa(α) + if alpha is not None: + base_res += calculator.aoa(alpha) if C_L is not None: raise Warning('C_L value is ignored because aoa is defined!') elif C_L is not None: - aoa = calculator.aoa(1) + res_aoa = calculator.aoa(1) C_L -= base_res.C_L - base_res += (C_L/aoa.C_L) * aoa + alpha = C_L/res_aoa.C_L - return {'c_ls': base_res.c_ls, 'a_is': base_res.α_is, 'C_L': base_res.C_L, 'a': } + base_res += alpha * res_aoa + + # TODO C_Mx + + return {'c_ls': base_res.c_ls, 'a_is': base_res.α_is, 'C_L': base_res.C_L, 'alpha': alpha} From 1b19bc07c33e99ed22092b6e4b599bd0065f63b7 Mon Sep 17 00:00:00 2001 From: helo Date: Sat, 23 Mar 2019 18:33:49 +0100 Subject: [PATCH 10/11] aero: calculation of c_mx --- examples/02_Analysis_Example.ipynb | 9 +++++---- examples/Liftdistribution.pdf | Bin 18157 -> 18157 bytes wingstructure/aero/liftingline.py | 15 ++++++++++++--- 3 files changed, 17 insertions(+), 7 deletions(-) diff --git a/examples/02_Analysis_Example.ipynb b/examples/02_Analysis_Example.ipynb index 1f2954a..7a9ca65 100644 --- a/examples/02_Analysis_Example.ipynb +++ b/examples/02_Analysis_Example.ipynb @@ -104,7 +104,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -147,16 +147,17 @@ " 0.04433967, 0.05404247, 0.06616868, 0.08117189, 0.09946837,\n", " 0.1213158 , 0.14662398]),\n", " 'C_L': 1.0,\n", - " 'alpha': 0.17451880288157148}" + " 'alpha': 0.17451880288157148,\n", + " 'C_Mx': -1.3595426780354487e-16}" ] }, - "execution_count": 6, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "aero.calculate(wing, C_L=1.0)" + "aero.calculate(wing, C_L=1.0, calc_cmx=True)" ] }, { diff --git a/examples/Liftdistribution.pdf b/examples/Liftdistribution.pdf index a7675d20c4f3455a87bcaa207344347c28ba52d9..26cc1f628cb5c7cc78527784ec5ef2f386007aad 100644 GIT binary patch delta 20 bcmaFc%lNjJal=VRRtqCb1B=b)9OYR7T Date: Sat, 23 Mar 2019 18:45:32 +0100 Subject: [PATCH 11/11] fix liftingline tests --- tests/test_liftingline.py | 86 --------------------------------------- tests/test_multhop.py | 4 -- 2 files changed, 90 deletions(-) delete mode 100644 tests/test_liftingline.py diff --git a/tests/test_liftingline.py b/tests/test_liftingline.py deleted file mode 100644 index e7f36d7..0000000 --- a/tests/test_liftingline.py +++ /dev/null @@ -1,86 +0,0 @@ -import numpy as np -from wingstructure.aero.liftingline import multhopp - -def test_multhopp_schlichting(): - Λ = 6 # aspect ratio of wing - - b = 15 # m span width - cs = np.array([b/Λ]*2) # depth of wing - ys = np.array([0,b/2]) # section positions - - αs = np.array([1]*2) # angle of attack - dcls = np.array([2*np.pi]*2) - - # reference result - ηs_ref = np.array([0,0.3827,0.7071,0.9239,1]) - γs_ref = np.array([0.4320,0.4192,0.3710,0.2485,0]) - - # coarse calculation - M = 7 - - res = multhopp(αs, cs, ys, dcls, M = M, mode='gamma') - - assert np.isclose(res[0][M//2:]/b*2, ηs_ref[:-1], atol=1e-4).all() - assert np.isclose(res[1][M//2:], γs_ref[:-1], atol=1e-4).all() - -def test_multhopp_dcls_nan(): - Λ = 6 # aspect ratio of wing - - b = 15 # m span width - cs = np.array([b/Λ]*2) # depth of wing - ys = np.array([0,b/2]) # section positions - - αs = np.array([1]*2) # angle of attack - dcls = np.nan - - # reference result - ηs_ref = np.array([0,0.3827,0.7071,0.9239,1]) - γs_ref = np.array([0.4320,0.4192,0.3710,0.2485,0]) - - # coarse calculation - M = 7 - - res = multhopp(αs, cs, ys, dcls, M = M, mode='gamma') - - assert np.isclose(res[0][M//2:]/b*2, ηs_ref[:-1], atol=1e-4).all() - assert np.isclose(res[1][M//2:], γs_ref[:-1], atol=1e-4).all() - -def test_multhopp_coefficients(): - - Λ = 6 # aspect ratio of wing - - b = 15 # m span width - cs = [b/Λ]*2 # depth of wing - ys = [0,b/2] # section positions - - αs = [np.radians(1)]*2 # angle of attack - dcls = [2*np.pi]*2 - - res = multhopp(αs, cs, ys, dcls, M = 91) - - A = b * cs[0] - - C_L = np.trapz(res.c_ls, res.ys)/b - - # ensure lift coefficient matches local lift coefficents - assert np.isclose(C_L, res.C_L, rtol=1e-3) - -def test_multhopp_coefficients2(): - - Λ = 6 # aspect ratio of wing - - b = 15 # m span width - cs = [b/Λ]*3 # depth of wing - ys = [-b/2, 0, b/2] # section positions - - αs = [np.radians(1)]*3 # angle of attack - dcls = [2*np.pi]*3 - - res = multhopp(αs, cs, ys, dcls, M = 91) - - A = b * cs[0] - - C_L = np.trapz(res.c_ls, res.ys)/b - - # ensure lift coefficient matches local lift coefficents - assert np.isclose(C_L, res.C_L, rtol=1e-3) diff --git a/tests/test_multhop.py b/tests/test_multhop.py index 6cb99f0..86fc876 100644 --- a/tests/test_multhop.py +++ b/tests/test_multhop.py @@ -36,7 +36,3 @@ def test_multhop_solve(): assert np.isclose(calc_ys[M//2:]/b*2, ηs_ref[:-1], atol=1e-4).all() assert np.isclose(γs[M//2:], γs_ref[:-1], atol=1e-4).all() - - -def test_multhop(): - pass \ No newline at end of file