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Merge pull request #3 from jtveiten/master
* Better test coverage, use same template for running tests. * Setting nodal boundary conditions / loads implemented.
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# This file is a part of JuliaFEM. | ||
# License is MIT: see https://github.com/JuliaFEM/FEMTruss.jl/blob/master/LICENSE | ||
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using FEMBase | ||
using FEMTruss | ||
using FEMBase: get_formulation_type | ||
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using Base.Test | ||
# thsi is the same for all tests testing K and orientation | ||
function make_test_problem(coords::Vector{Tuple{Int64, Vector{Float64}}}, dim::Int64, t::Float64=0.0) | ||
elem_id = map(x->x[1], coords) | ||
coord_dict=Dict(coords) | ||
elem1 = Element(Seg2, elem_id) # connects to nodes 1, 2 | ||
elem1.id = 1 | ||
update!(elem1, "geometry", coord_dict) | ||
update!(elem1, "youngs modulus", 288.0) | ||
update!(elem1, "cross section area", 0.1) | ||
p1 = Problem(Truss, "my truss problem", dim) # 1 dofs/node for now; | ||
empty!(p1.assembly) | ||
assemble!(p1.assembly, p1, elem1, t) | ||
return p1 | ||
end | ||
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@testset "FEMTrussElements.jl" begin | ||
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zeros_2d = zeros(1,2) | ||
zeros_3d = zeros(1,3) | ||
K_oracle_base = [2.88 -2.88;-2.88 2.88] | ||
#truss test | ||
X = [(1 , [0.0]),(2, [10.0])] | ||
ndofs = length(X[1][2]) | ||
p1 = make_test_problem(X, ndofs) | ||
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@test get_unknown_field_name(p1)=="displacement" | ||
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#This one fails | ||
#Test threw an exception of type UndefVarError | ||
# Expression: get_formulation_type(p1) | ||
# UndefVarError: get_formulation_type not defined | ||
@test get_formulation_type(p1) == :total | ||
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K_truss = full(p1.assembly.K) | ||
K_oracle = K_oracle_base | ||
@test isapprox(K_truss, K_oracle) | ||
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# now for the 2d x case | ||
X = [(1 , [0.0,0.0]),(2, [10.0,0.0])] | ||
ndofs = length(X[1][2]) | ||
p1 = make_test_problem(X, ndofs) | ||
K_truss = full(p1.assembly.K) | ||
trans_2d = [1 0] | ||
trans = [trans_2d zeros_2d;zeros_2d trans_2d] | ||
K_oracle = trans'*K_oracle_base*trans | ||
@test isapprox(K_truss, K_oracle) | ||
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# lets do y as well | ||
X = [(1 , [0.0,0.0]),(2, [0.0,10.0])] | ||
ndofs = length(X[1][2]) | ||
p1 = make_test_problem(X, ndofs) | ||
K_truss = full(p1.assembly.K) | ||
trans_2d = [0 1] | ||
trans = [trans_2d zeros_2d;zeros_2d trans_2d] | ||
K_oracle = trans'*K_oracle_base*trans | ||
@test isapprox(K_truss, K_oracle) | ||
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# now for the 2d x case reverted | ||
X = [(2 , [0.0,0.0]),(1, [10.0,0.0])] | ||
ndofs = length(X[1][2]) | ||
p1 = make_test_problem(X, ndofs) | ||
K_truss = full(p1.assembly.K) | ||
trans_2d = [-1 0] | ||
trans = [trans_2d zeros_2d;zeros_2d trans_2d] | ||
K_oracle = trans'*K_oracle_base*trans | ||
@test isapprox(K_truss, K_oracle) | ||
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# lets do y as well reverted | ||
X = [(2 , [0.0,0.0]),(1, [0.0,10.0])] | ||
ndofs = length(X[1][2]) | ||
p1 = make_test_problem(X, ndofs) | ||
K_truss = full(p1.assembly.K) | ||
trans_2d = [0 -1] | ||
trans = [trans_2d zeros_2d;zeros_2d trans_2d] | ||
K_oracle = trans'*K_oracle_base*trans | ||
@test isapprox(K_truss, K_oracle) | ||
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# now for the 3d case | ||
X = [(1 , [0.0,0.0,0.0]),(2, [10.0,0.0,0.0])] | ||
ndofs = length(X[1][2]) | ||
p1 = make_test_problem(X, ndofs) | ||
K_truss = full(p1.assembly.K) | ||
trans_3d = [1 0 0] | ||
trans = [trans_3d zeros_3d;zeros_3d trans_3d] | ||
K_oracle = trans'*K_oracle_base*trans | ||
@test isapprox(K_truss, K_oracle) | ||
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end | ||
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@testset "test nodal elements" begin | ||
element = Element(Poi1, [1]) | ||
update!(element, "fixed displacement 1", 1.0) | ||
update!(element, "nodal force 2", 2.0) | ||
problem = Problem(Truss, "test problem", 2) | ||
add_elements!(problem, [element]) | ||
assemble!(problem, 0.0) | ||
C1 = full(problem.assembly.C1, 2, 2) | ||
C2 = full(problem.assembly.C2, 2, 2) | ||
f = full(problem.assembly.f, 2, 1) | ||
g = full(problem.assembly.g, 2, 1) | ||
@test isapprox(C1, [1.0 0.0; 0.0 0.0]) | ||
@test isapprox(C1, C2) | ||
@test isapprox(f, [0.0, 2.0]) | ||
@test isapprox(g, [1.0, 0.0]) | ||
end |
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# This file is a part of JuliaFEM. | ||
# License is MIT: see https://github.com/JuliaFEM/FEMTruss.jl/blob/master/LICENSE | ||
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using FEMBase | ||
using FEMBase.Test | ||
using FEMTruss | ||
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@testset "FEMTrussProblems.jl" begin | ||
E = 400.0*sqrt(5) | ||
A = 0.1 | ||
Fx = 6.4*sqrt(2) | ||
Fy = 1.6*sqrt(2) | ||
X = Dict(1 => [0.0, 0.0], | ||
2 => [0.0, 1.0], | ||
3 => [1.0, 0.5]) | ||
el1 = Element(Seg2, [1, 3]) | ||
el2 = Element(Seg2, [2, 3]) | ||
bel1 = Element(Poi1, [1]) | ||
bel2 = Element(Poi1, [2]) | ||
bel3 = Element(Poi1, [3]) | ||
elements = [el1, el2, bel1, bel2, bel3] | ||
update!(elements, "geometry", X) | ||
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update!([bel1, bel2], "fixed displacement 1", 0.0) | ||
update!([bel1, bel2], "fixed displacement 2", 0.0) | ||
update!(bel3, "nodal force 1", Fx) | ||
update!(bel3, "nodal force 2", Fy) | ||
update!(elements, "youngs modulus", E) | ||
update!(elements, "cross section area", A) | ||
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problem = Problem(Truss, "test problem", 2) | ||
add_elements!(problem, elements) | ||
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# solution | ||
step = Analysis(Static) | ||
add_problems!(step, [problem]) | ||
ls, normu, normla = run!(step) | ||
# Lets verify the system | ||
#Stiffness Matrix assemble by hand | ||
l = sqrt(0.5^2+1^2) | ||
K_loc = E*A/l*[1 -1; -1 1] | ||
l1 = 1/l | ||
m1 = 0.5/l | ||
T1 = [l1 m1 0 0; 0 0 l1 m1] | ||
K1 = T1'*K_loc*T1 | ||
T2 = [l1 -m1 0 0; 0 0 l1 -m1] | ||
K2 = T2'*K_loc*T2 | ||
K_glob = zeros(6,6) | ||
K_glob[3:6,3:6]+=K2 | ||
K_glob[1:2, 1:2] += K1[1:2,1:2] | ||
K_glob[5:6, 1:2] += K1[3:4, 1:2] | ||
K_glob[1:2, 5:6] += K1[1:2, 3:4] | ||
K_glob[5:6, 5:6] += K1[3:4, 3:4] | ||
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@test isapprox(full(ls.K), K_glob) | ||
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# Forces are ok | ||
f_glob = zeros(6); | ||
f_glob[5:6]=[Fx,Fy] | ||
@test isapprox(full(ls.f), f_glob) | ||
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# deflections | ||
u_glob = zeros(6) | ||
u_glob[5:6] = K_glob[5:6,5:6]\f_glob[5:6] | ||
@test isapprox(full(ls.u), u_glob) | ||
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# support forces | ||
#println("K = ", full(ls.K)) | ||
#println("f = ", full(ls.f)) | ||
#println("u = ", full(ls.u)) | ||
println("la = ", full(ls.la)) | ||
end |