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一对齿轮传动设计计算.py
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一对齿轮传动设计计算.py
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#encoding=UTF-8
from math import *
import numpy as np
from sklearn.linear_model import LinearRegression
#动载系数
# kvlist_x=[0,5,10,15,20,25,30,40]
# kvlist_y=[1,1.08,1.12,1.22,1.26,1.28,1.31,1.34]
KhbtX=[40,80,120,160,200]
KhbtY=[1.201,1.210,1.219,1.229,1.238]
KhbtX1=[40, 80, 120, 160, 200]
KhbtY1=[1.315,1.342,1.334,1.343,1.352]
YfaX=[17,18,19,20,21,22,23,24,25,26,27,28,29,30,35,40,45,50,60,70,80,90,100,125,150,175,200]
YfaY=[2.97,2.91,2.85,2.76,2.72,2.69,2.65,2.62,2.60,2.57,2.55,2.53,2.52,2.45,2.40,2.35,2.32,2.28,2.24,2.22,2.20,2.20,2.18,2.16,2.14,2.13,2.12]
YsaX=[17,18,19,20,21,22,23,24,25,26,27,28,29,30,35,40,45,50,60,70,80,90,100,150,200]
YsaY=[1.52,1.53,1.54,1.55,1.56,1.57,1.575,1.58,1.59,1.595,1.60,1.61,1.62,1.625,1.65,1.67,1.68,1.70,1.73,1.75,1.77,1.78,1.79,1.83,1.865]
def cKv(v):
C = 7
B = 0.25 * (C - 5.0) ** 0.667
A = 50 + 56 * (1.0 - B)
return (A / (A + (200 * v) ** 0.5)) ** (-B)
def xxtofxx(x,N):
list=[]
for i in range(N):
list.append(x**i)
return list
def xxtofxxsz(X1,N):
XX=[]
for i in X1:
XX.append(xxtofxx(i,N))
return np.array(XX)
def onetotwo(y,n):
return np.array(y).reshape(( n,1))
#曲线拟合
SJ_KhbtX=xxtofxxsz(KhbtX,5)
SJ_KhbtY_length=len(KhbtY)
SJ_KhbtY=onetotwo( KhbtY,SJ_KhbtY_length)
pre_Khbt = LinearRegression()
pre_Khbt.fit(SJ_KhbtX, SJ_KhbtY)
SJ_KhbtX1=xxtofxxsz(KhbtX1,5)
SJ_KhbtY1_length=len(KhbtY1)
SJ_KhbtY1=onetotwo( KhbtY1,SJ_KhbtY1_length)
pre_Khbt1 = LinearRegression()
pre_Khbt1.fit(SJ_KhbtX1, SJ_KhbtY1)
SJ_YfaX=xxtofxxsz(YfaX,7)
SJYfa_length=len(YfaY)
SJ_YfaY=onetotwo( YfaY,SJYfa_length)
pre_Yfa= LinearRegression()
pre_Yfa.fit(SJ_YfaX, SJ_YfaY)
SJ_YsaX=xxtofxxsz(YsaX,6)
SJYsa_length=len(YsaY)
SJ_YsaY=onetotwo( YsaY,SJYsa_length)
pre_Ysa= LinearRegression()
pre_Ysa.fit(SJ_YsaX, SJ_YsaY)
def cKfn(N):
x=log(N, 10)
if 2<=x<3:
return 2.5
elif 3<=x<6.4:
return (1-2.5)/(6.4-3)*(x-3)+2.5
elif 6.4<=x<10:
return (0.8-1)/(10-6.4)*(x-10)+0.8
else:
#print('Kfn出错')
return 1
def cKhn(N):
x=log(N, 10)
if 4<=x<5:
return 1.6
elif 5<=x<7.4:
return (1-1.6)/(7.67-5)*(x-5)+1.6
elif 7.4<=x<10:
return (0.86-1)/(10-7.67)*(x-10)+0.86
else:
#print('Khn出错')
return 1
def hudu(jiaodu):
return jiaodu/180*pi
# def cKhbt(sdd,b):
# if sdd==0.8:
# Khbt=曲线拟合.qvxiannihe([40,80,120,160,200],
# [1.201,1.210,1.219,1.229,1.238],b , 5 )
# else:
# Khbt=曲线拟合.qvxiannihe([40, 80, 120, 160, 200],
# [1.315,1.342,1.334,1.343,1.352], b, 5,)
# return Khbt
def cKhbt(sdd,b):
if sdd==0.8:
Khbt=pre_Khbt.predict(xxtofxxsz([b], 5))
else:
Khbt=pre_Khbt1.predict(xxtofxxsz([b], 5))
#print(Khbt)
return Khbt[0][0]
def cYfa(zv):
Yfa = pre_Yfa.predict(xxtofxxsz([zv], 7))
#print(Yfa)
return Yfa[0][0]
def cYsa(zv):
Ysa=pre_Ysa.predict(xxtofxxsz([zv], 6))
#print(Ysa)
return Ysa[0][0]
def shortlength_m(mnf):
standard_m = [1,1.25, 1.5, 2, 2.5, 3, 4, 5, 6, 8, 10, 12, 16, 20, 25, 32, 40, 50]
for i in range(18):
if mnf<=standard_m[i] and i==0:
return 1
elif mnf<=standard_m[i]:
return standard_m[i]
else:
pass
#坏数据
return 1
def jiaohe(z1,z2,mn,aef,bt,a,b1,b2,n1,P1):
count=0
print('--------强度校核---------')
print('--------齿面接触疲劳强度校核---------')
# 齿面接触疲劳强度设计
d1t = mn * z1 / cos(hudu(bt))
sdd=b2/d1t
u=z2/z1
d1t=mn*z1/cos(hudu(bt))
v = pi * d1t * n1 / 60000
print('v:', v)
KA = 1.00
print('KA', KA)
# Kvh=1.10
Kvh = cKv(v)
print('Kvh:', Kvh)
T1 = 9.55 * 10 ** 6 * P1 / n1
Ft1 = 2 * T1 / d1t
print('Ft1', Ft1)
pd1 = KA * Ft1 / b2
print('pd1', pd1)
if pd1 >= 100:
Khaef = 1.2
else:
Khaef = 1.4
print('Khaef', Khaef)
Khbt = cKhbt(sdd, b2)
# print('Khbt', Khbt)
print('Khbt:', Khbt)
# print(Khbt)
Kh = KA * Kvh * Khaef * Khbt
print('Kh:', Kh)
aeft = degrees(atan(tan(hudu(aef)) / cos(hudu(bt))))
btb = degrees(atan(tan(hudu(bt)) * cos(hudu(aeft))))
Zh = (2 * cos(hudu(btb)) / (cos(hudu(aeft)) * sin(hudu(aeft)))) ** 0.5
# print('Zh:', Zh)
ha=1
aefat1 = degrees(acos(z1 * cos(hudu(aeft)) / (z1 + 2 * ha * cos(hudu(bt)))))
aefat2 = degrees(acos(z2 * cos(hudu(aeft)) / (z2 + 2 * ha * cos(hudu(bt)))))
yfxnaef = (z1 * (tan(hudu(aefat1)) - tan(hudu(aeft))) + z2 * (tan(hudu(aefat2)) - tan(hudu(aeft)))) / (2 * pi)
yfxnbt = sdd * z1 * tan(hudu(bt)) / pi
Zyfxn = ((4 - yfxnaef) * (1 - yfxnbt) / 3 + yfxnbt / yfxnaef) ** 0.5
# print('Zyfxn:',Zyfxn )
Zbt = (cos(hudu(bt))) ** 0.5
# print('Zbt:', Zbt)
print('aeft', aeft)
print('btb', btb)
print('Zh', Zh)
print('aefat1', aefat1)
print('aefat2', aefat2)
print('yfxnaef', yfxnaef)
print('yfxnbt', yfxnbt)
print('Zyfxn', Zyfxn)
print('Zbt', Zbt)
# 分流式齿轮
# T1=0.5*9.55*10**6*P1/n1
# 展开式齿轮
T1 = 9.55 * 10 ** 6 * P1 / n1
print('T1', T1)
Ze = 189.8
print('Ze', Ze)
sdhlim1 = 600
print('sdhlim1', sdhlim1)
sdhlim2 = 550
print('sdhlim2', sdhlim2)
N1 = 60 * n1 * 1 * 16 * 350 * 10
print('N1:', N1)
N2 = N1 / u
print('N2:', N2)
S = 1
print('S', S)
Khn1 = cKhn(N1)
print('Khn1', Khn1)
Khn2 = cKhn(N2)
print('Khn2', Khn2)
xysdh1 = Khn1 * sdhlim1 / S
xysdh2 = Khn2 * sdhlim2 / S
xysdh = min(xysdh1, xysdh2)
print('xysdh1:', xysdh1)
print('xysdh2:', xysdh2)
print('xysdh:', xysdh)
sdhsj=(2*Kh*T1*(u+1)/(sdd*d1t**3*u))**0.5*Zh*Ze*Zyfxn*Zbt
print('sdhsj:',sdhsj)
if(sdhsj<=xysdh):
print('满足齿面接触疲劳强度极限')
else:
print('不满足齿面接触疲劳强度极限')
count += 25
print('--------齿根弯曲疲劳强度校核---------')
# 齿根弯曲疲劳强度校核
cn = 0.25
print('cn', cn)
h = (2 * ha + cn) * mn
print('h', h)
bh = b2/ h
print('bh', bh)
# Kvf=1.08
Kvf = cKv(v)
print('Kvf:', Kvf)
Ft1 = 2 * T1 / d1t
print('Ft1', Ft1)
pd2 = KA * Ft1 / b2
print('pd2', pd2)
if pd2 >= 100:
Kfaef = 1.2
else:
Kfaef = 1.4
print('Kfaef', Kfaef)
Kfbt = 1.28
print('Kfbt', Kfbt)
Kf = KA * Kvf * Kfaef * Kfbt
# print('Kfaef', Kfaef)
print('Kf', Kf)
yfxnaefv = yfxnaef / cos(hudu(btb)) ** 2
print('yfxnaefv', yfxnaefv)
Yyfxn = 0.25 + 0.75 / yfxnaefv
# print('Yyfxn', Yyfxn)
print('Yyfxn', Yyfxn)
Ybt = 1 - yfxnbt * bt / 120
print('Ybt', Ybt)
zv1 = z1 / cos(hudu(bt)) ** 3
zv2 = z2 / cos(hudu(bt)) ** 3
print('zv1', zv1)
print('zv2', zv2)
Yfa1 = cYfa(zv1)
Yfa2 = cYfa(zv2)
Ysa1 = cYsa(zv1)
Ysa2 = cYsa(zv2)
print('Yfa1', Yfa1)
print('Yfa2:', Yfa2)
print('Ysa1:', Ysa1)
print('Ysa2:', Ysa2)
Kfn1 = cKfn(N1)
Kfn2 = cKfn(N2)
sdflim1 = 500
sdflim2 = 320
S = 1.4
xyf1 = Kfn1 * sdflim1 / S
xyf2 = Kfn2 * sdflim2 / S
print('Kfn1', Kfn1)
print('Kfn2', Kfn2)
print('sdflim1', sdflim1)
print('sdflim2', sdflim2)
print('S', S)
print('xyf1', xyf1)
print('xyf2', xyf2)
YYsd1 = Yfa1 * Ysa1 / xyf1
YYsd2 = Yfa2 * Ysa2 / xyf2
YYsdqvda = max(YYsd1, YYsd2)
print('YYsd1', YYsd1)
print('YYsd2', YYsd2)
print('YYsdqvda', YYsdqvda)
sdfsj1=2*Kf*T1*Yfa1*Ysa1*Yyfxn*Ybt*cos(hudu(bt))**2/(sdd*mn**3*z1**2)
sdfsj2 = 2 * Kf * T1* Yfa1 * Ysa1 * Yyfxn * Ybt * cos(hudu(bt)) ** 2 / (sdd * mn ** 3 * z1 ** 2)
sdfsjmax=max(sdfsj1,sdfsj2)
if (sdhsj <= xysdh):
print('满足齿根弯曲强度极限')
else:
print('不满足齿根弯曲强度极限')
count += 25
return count
#减速器设计函数
def sheji(i1,z1,bt,sdd,ha,aef,n1,P1):
z2=round(i1*z1)
#print('z2:',z2)
u1=(z2/z1)
#print('u1:',u1)
#接触疲劳强度设计
Kht=1.3
#print('Kht', Kht)
aeft=degrees(atan(tan(hudu(aef))/cos(hudu(bt))))
btb=degrees(atan(tan(hudu(bt))*cos(hudu(aeft))))
Zh=(2*cos(hudu(btb))/(cos(hudu(aeft))*sin(hudu(aeft))))**0.5
aefat1=degrees(acos(z1*cos(hudu(aeft))/(z1+2*ha*cos(hudu(bt)))))
aefat2=degrees(acos(z2*cos(hudu(aeft))/(z2+2*ha*cos(hudu(bt)))))
yfxnaef=(z1*(tan(hudu(aefat1))-tan(hudu(aeft)))+z2*(tan(hudu(aefat2))-tan(hudu(aeft))))/(2*pi)
yfxnbt=sdd*z1*tan(hudu(bt))/pi
Zyfxn=((4-yfxnaef)*(1-yfxnbt)/3+yfxnbt/yfxnaef)**0.5
#print('Zyfxn:',Zyfxn )
Zbt=(cos(hudu(bt)))**0.5
#print('aeft',aeft )
#print('btb',btb )
#print('Zh', Zh)
#print('aefat1',aefat1 )
#print('aefat2', aefat2)
#print('yfxnaef',yfxnaef )
#print('yfxnbt',yfxnbt )
#print('Zyfxn',Zyfxn )
#print('Zbt', Zbt)
#分流式齿轮
# T1=0.5*9.55*10**6*P1/n1
# 展开式齿轮
T1 = 9.55 * 10 ** 6 * P1 / n1
Ze=189.8
sdhlim1=600
sdhlim2=550
N1=60*n1*1*16*350*10
#print('N1:', N1)
N2=N1/u1
#print('N2:', N2)
S=1
Khn1=cKhn(N1)
Khn2=cKhn(N2)
xysdh1=Khn1*sdhlim1/S
xysdh2 = Khn2 * sdhlim2 / S
xysdh=min(xysdh1,xysdh2)
#print('T1:', T1)
#print('Ze:',Ze )
#print('sdhlim1:', sdhlim1)
#print('sdhlim2:', sdhlim2)
#print('S:', S)
#print('Khn1:',Khn1)
#print('Khn2:', Khn2)
#print('xysdh1:', xysdh1)
#print('xysdh2:',xysdh2 )
#print('xysdh:',xysdh )
d1t=(2*Kht*T1/sdd*(u1+1)/u1*(Zh*Ze*Zyfxn*Zbt/xysdh)**2)**(1/3)
#print('d1t:', d1t)
v=pi*d1t*n1/60000
#print('v:', v)
b=sdd*d1t
#print('b:', b)
KA=1.00
Kvh=cKv(v)
Ft1=2*T1/d1t
pd1=KA*Ft1/b
#print('KA:', KA)
#print('Kvh:', Kvh)
#print('Ft1:', Ft1)
#print('pd1:', pd1)
if pd1>=100.0:
Khaef=1.2
else:
Khaef=1.4
#print('Khaef:', Khaef)
Khbt=cKhbt(sdd,b)
#print('Khbt:',Khbt )
Kh=KA*Kvh*Khaef*Khbt
#print('Kh:', Kh)
d1h=d1t*(Kh/Kht)**(1/3)
#print('d1h:', d1h)
mnh=d1h*cos(hudu(bt))/z1
#print('mnh:', mnh)
Kft=1.3
#print('Kft:', Kft)
yfxnaefv=yfxnaef/cos(hudu(btb))**2
Yyfxn=0.25+0.75/yfxnaefv
#print('yfxnaefv:',yfxnaefv )
#print('Yyfxn',Yyfxn )
Ybt=1-yfxnbt*bt/120
#print('Ybt', Ybt)
zv1=z1/cos(hudu(bt))**3
zv2 = z2 / cos(hudu(bt)) ** 3
#print('zv1:', zv1)
#print('zv2:', zv2)
Yfa1=cYfa(zv1)
Yfa2=cYfa(zv2)
Ysa1=cYsa(zv1)
Ysa2=cYsa(zv2)
#print('Yfa1', Yfa1)
#print('Yfa2:', Yfa2)
#print('Ysa1:', Ysa1)
#print('Ysa2:', Ysa2)
Kfn1=cKfn(N1)
#print('Kfn1:',Kfn1 )
Kfn2=cKfn(N2)
#print('Kfn2:',Kfn2 )
sdflim1=500
sdflim2=320
#print('sdflim1:',sdflim1 )
#print('sdflim2:', sdflim2)
S=1.4
xyf1=Kfn1*sdflim1/S
xyf2 = Kfn2 * sdflim2 / S
#print('S:', S)
#print('xyf1:',xyf1 )
#print('xyf2:', xyf2)
YYsd1=Yfa1*Ysa1/xyf1
YYsd2 = Yfa2 * Ysa2 / xyf2
YYsdqvda=max(YYsd1,YYsd2)
#print('YYsd1', YYsd1)
#print('YYsd2', YYsd2)
#print('YYsdqvda', YYsdqvda)
mnt=(2*Kft*T1*Yyfxn*Ybt*cos(hudu(bt))**2/sdd/z1**2*YYsdqvda)**(1/3)
#print('mnt:', mnt)
#调整模数
d1=mnt*z1/cos(hudu(bt))
vf=pi*d1*n1/60000
b=sdd*d1
cn=0.25
h=(2*ha+cn)*mnt
bh=b/h
#print('d1:', d1)
#print('vf:', vf)
#print('b:', b)
#print('cn:', cn)
#print('h:', h)
#print('bh',bh )
Kvf=cKv(vf)
Ft1=2*T1/d1
pd2=KA*Ft1/b
#print('Kvf:',Kvf )
#print('Ft1:',Ft1 )
#print('pd2:', pd2)
if pd2 >= 100:
Kfaef = 1.2
else:
Kfaef = 1.4
Kfbt =1.28
Kf=KA*Kvf*Kfaef*Kfbt
#print('Kfaef', Kfaef)
#print('Kfbt:', Kfbt)
#print('Kf', Kf)
mnf=mnt*(Kf/Kft)**(1/3)
#print('mnf', mnf)
d1f=mnf*z1/cos(hudu(bt))
#print('d1f', d1f)
# standard_m=[1,1.25,1.5,2,2.5,3,4,5,6,8,10,12,16,20,25,32,40,50]
mn=shortlength_m(mnf)
#print('mn', mn)
z1=round(d1h*cos(hudu(bt))/mn)
#print('z1', z1)
z2=round(u1*z1)
#print('z2',z2)
a=round((z1+z2)*mn/2/cos(hudu(bt)))
#print('a', a)
bt=degrees(acos((z1+z2)*mn/2/a))
#print('bt', bt)
d1=z1*mn/cos(hudu(bt))
d2=z2*mn/cos(hudu(bt))
#print('d1', d1)
#print('d2',d2)
b=round(sdd*d1)
b1=b+5
b2=b
#print('b1', b1)
#print('b2',b2 )
#(z1,z2,mn,aef,bt,a,b1,b2)
return (z1,z2,mn,aef,bt,a,b1,b2)
# x=sheji(3.7,50,14,1,1,20,n1=970,P1=11)
# #print(x)
# x=sheji(4.93,39,13.21,1,1,20,n1=720,P1=7.128*0.5)
# z1,z2,mn,aef,bt,a,b1,b2=x
# #print(x)
# x=sheji(3.2,24,14,1,1,20,n1=970,P1=11)
# z1,z2,mn,aef,bt,a,b1,b2=x
# #print(x)