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Thermo-elasticTopologyOptimization
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before add inregular

multiple_top
cflin 2 years ago
parent
f5a826a54c
commit
0d5b505c75
7 changed files with 143 additions and 48 deletions
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  1. 1
      CMakeLists.txt
  2. 2
      examples/top-thermoelastic-regular-model/CMakeLists.txt
  3. 43
      examples/top-thermoelastic-regular-model/config.json
  4. 76
      examples/top-thermoelastic-regular-model/config_bak.json
  5. 8
      examples/top-thermoelastic-regular-model/main.cpp
  6. 57
      src/ThermoelasticTop3d.cpp
  7. 2
      src/Top3d.h

1
CMakeLists.txt
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@ -57,5 +57,6 @@ target_link_libraries(${PROJECT_NAME}_lib PUBLIC mma::mma mma::gcmma)
target_compile_definitions(${PROJECT_NAME}_lib PUBLIC CMAKE_SOURCE_DIR="${CMAKE_SOURCE_DIR}")
target_compile_definitions(${PROJECT_NAME}_lib PUBLIC WRITE_TENSOR)
target_compile_definitions(${PROJECT_NAME}_lib PUBLIC DEBUG)
#target_compile_definitions(${PROJECT_NAME}_lib PUBLIC MECH_ONLY)
add_subdirectory(${CMAKE_SOURCE_DIR}/examples)

2
examples/top-thermoelastic-regular-model/CMakeLists.txt
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@ -7,5 +7,3 @@ target_compile_definitions(${SUB_PROJECT_NAME} PUBLIC CONFIG_FILE="${CMAKE_CURRE
target_compile_definitions(${SUB_PROJECT_NAME} PUBLIC OUTPUT_DIR="${CMAKE_SOURCE_DIR}/output")
target_compile_definitions(${SUB_PROJECT_NAME} PUBLIC ASSETS_DIR="${CMAKE_SOURCE_DIR}/assets")
target_compile_definitions(${SUB_PROJECT_NAME} PUBLIC DA_CMD)
#target_compile_definitions(${SUB_PROJECT_NAME} PUBLIC ASSETS_DIR="${CMAKE_SOURCE_DIR}/assets")

43
examples/top-thermoelastic-regular-model/config.json
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@ -1,19 +1,19 @@
{
"material": {
"E": 2e11,
"E": 2.1e11,
"poisson_ratio": 0.3,
"thermal_conductivity":43, "unit": "W/(m*K)",
"thermal_expansion_coefficient": 1.21e-5, "unit": "1/K"
},
"topology": {
"max_loop": 150,
"volfrac": 0.5,
"max_loop": 200,
"volfrac": 0.4,
"penal": 3.0,
"r_min": 1.5,
"T_ref": 295,
"T_limit": 325,
"R_E": 8,
"R_lambda": 8,
"r_min": 1.1,
"T_ref": 0,
"T_limit": 26,
"R_E": 28,
"R_lambda": 28,
"R_beta":0
},
"model": {
@ -27,9 +27,9 @@
"mechanical_boundary_condition":{
"NBC": [
{
"min": [0, 0.5, 0.5],
"max": [1, 0.5, 0.5],
"val": [0.0, 0.0, -1.5e9]
"min": [0, 0.44, 0],
"max": [1, 0.56, 0],
"val": [0.0, 0.0, -8.4e8]
}
],
@ -49,27 +49,16 @@
"thermal_boundary_condition": {
"NBC": [
{
"min": [0, 0.2, 0.5],
"max": [1, 0.2, 0.5],
"heat_flux": 12.35, "unit": "W"
},
{
"min": [0, 0.8, 0.5],
"max": [1, 0.8, 0.5],
"heat_flux": 12.35, "unit": "W"
"min": [0, 1, 0.3],
"max": [1, 1, 0.7],
"heat_flux": 5, "unit": "W"
}
],
"DBC": [
{
"min": [0, 0, 0],
"max": [1, 1, 0],
"temperature": 312, "unit": "K"
},
{
"min": [0, 0, 1],
"max": [1, 1, 1],
"temperature": 312, "unit": "K"
"max": [1, 0, 1],
"temperature": 0, "unit": "K"
}
]
}

76
examples/top-thermoelastic-regular-model/config_bak.json
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@ -0,0 +1,76 @@
{
"material": {
"E": 2.1e11,
"poisson_ratio": 0.3,
"thermal_conductivity":43, "unit": "W/(m*K)",
"thermal_expansion_coefficient": 1.21e-5, "unit": "1/K"
},
"topology": {
"max_loop": 200,
"volfrac": 0.5,
"penal": 3.0,
"r_min": 1.05,
"T_ref": 312,
"T_limit": 316.52,
"R_E": 28,
"R_lambda": 28,
"R_beta":0
},
"model": {
"regular_model": {
"lx": 1,
"ly": 50,
"lz": 35
},
"visual_model":"2-box-refined.obj"
},
"mechanical_boundary_condition":{
"NBC": [
{
"min": [0, 0.5, 0.5],
"max": [1, 0.5, 0.5],
"val": [0.0, 0.0, -4.0e8]
}
],
"DBC": [
{
"min": [0, 0, 0],
"max": [1, 0, 1],
"dir": [1, 1, 1]
},
{
"min": [0, 1, 0],
"max": [1, 1, 1],
"dir": [1, 1, 1]
}
]
},
"thermal_boundary_condition": {
"NBC": [
{
"min": [0, 0.2, 0.5],
"max": [1, 0.2, 0.5],
"heat_flux": 3.35,"back":12.35, "unit": "W"
},
{
"min": [0, 0.8, 0.5],
"max": [1, 0.8, 0.5],
"heat_flux": 3.35,"back":12.35, "unit": "W"
}
],
"DBC": [
{
"min": [0, 0, 0],
"max": [1, 1, 0],
"temperature": 312, "unit": "K"
},
{
"min": [0, 0, 1],
"max": [1, 1, 1],
"temperature": 312, "unit": "K"
}
]
}
}

8
examples/top-thermoelastic-regular-model/main.cpp
View File

@ -91,7 +91,8 @@ int main() {
Eigen::Vector3d val(NBCI["val"][0], NBCI["val"][1], NBCI["val"][2]);
top::Neu t_neu(minBBox, maxBBox, val);
sp_mech_top3d->AddNBC(mech_bdr.GetChosenCoordsByRelativeAlignedBox(t_neu.box), t_neu.val);
Eigen::MatrixXi coords=mech_bdr.GetChosenCoordsByRelativeAlignedBox(t_neu.box);
sp_mech_top3d->AddNBC(coords, t_neu.val/coords.rows());
}
}
@ -118,8 +119,9 @@ int main() {
Eigen::Vector3d maxBBox(NBCI["max"][0], NBCI["max"][1], NBCI["max"][2]);
Eigen::Vector3d val( NBCI["heat_flux"],0,0);
top::Neu t_neu(minBBox, maxBBox, val);
// auto ttt=mech_bdr.GetChosenCoordsByRelativeAlignedBox(t_neu.box);
sp_thermal_top3d->AddNBC(mech_bdr.GetChosenCoordsByRelativeAlignedBox(t_neu.box), t_neu.val);
Eigen::MatrixXi coords=mech_bdr.GetChosenCoordsByRelativeAlignedBox(t_neu.box);
sp_thermal_top3d->AddNBC(coords, t_neu.val/coords.rows());
}
}

57
src/ThermoelasticTop3d.cpp
View File

@ -8,7 +8,7 @@ da::sha::top::Tensor3d da::sha::top::ThermoelasticTop3d::TopOptMainLoop() {
auto &sp_mesh_ = sp_mech_top3d_->sp_mesh_;
auto &sp_para_ = sp_mech_top3d_->sp_para_;
Eigen::VectorXd xPhys_col(sp_mesh_->GetNumEles());
xPhys_col.setConstant(sp_para_->volfrac);
xPhys_col.setConstant(sp_para_->volfrac/sp_para_->volfrac);
bool flg_chosen = false;
Eigen::VectorXi chosen_ele_id;
// Eigen::VectorXi chosen_ele_id(sp_mesh_->GetChosenEleIdx());
@ -118,7 +118,7 @@ da::sha::top::Tensor3d da::sha::top::ThermoelasticTop3d::TopOptMainLoop() {
return CalDRDrho(rho, sp_para_->R_beta) * E0_m * alpha0;
};
#ifndef MECH_ONLY
// solve T
Eigen::VectorXd sK_th =
@ -134,7 +134,7 @@ da::sha::top::Tensor3d da::sha::top::ThermoelasticTop3d::TopOptMainLoop() {
#endif
solver_th.compute(sp_thermal_top3d_->K_);
sp_thermal_top3d_->U_ = solver_th.solve(sp_thermal_top3d_->F_);
#endif
// solve U
@ -143,7 +143,8 @@ da::sha::top::Tensor3d da::sha::top::ThermoelasticTop3d::TopOptMainLoop() {
.reshaped();
auto v_tri_m = Vec2Triplet(sp_mech_top3d_->iK_, sp_mech_top3d_->jK_, sK_m);
sp_mech_top3d_->K_.setFromTriplets(v_tri_m.begin(), v_tri_m.end());
// for each element
#ifndef MECH_ONLY
// F_th
Eigen::VectorXd &T = sp_thermal_top3d_->U_;
Eigen::VectorXd F_th = Eigen::VectorXd::Zero(sp_mech_top3d_->sp_mesh_->GetNumDofs());
@ -156,7 +157,13 @@ da::sha::top::Tensor3d da::sha::top::ThermoelasticTop3d::TopOptMainLoop() {
}
if (loop == 1 || loop == sp_para_->max_loop)
spdlog::info("||Fth|| / ||Fm||: {}", F_th.norm() / sp_mech_top3d_->F_.norm());
Eigen::VectorXd F = Eigen::VectorXd(sp_mech_top3d_->F_) + F_th;
#endif
Eigen::VectorXd F = Eigen::VectorXd(sp_mech_top3d_->F_)
#ifndef MECH_ONLY
+ F_th
#endif
;
sp_mech_top3d_->IntroduceFixedDofs(sp_mech_top3d_->K_, F);
#ifdef USE_SUITESPARSE
@ -183,7 +190,7 @@ da::sha::top::Tensor3d da::sha::top::ThermoelasticTop3d::TopOptMainLoop() {
// sensitivity
// lambda_m
Eigen::VectorXd lambda_m = -sp_mech_top3d_->U_;
#ifndef MECH_ONLY
// dFth_drho
Eigen::SparseMatrix<double> dFth_drho(sp_mech_top3d_->sp_mesh_->GetNumEles(),
sp_mech_top3d_->sp_mesh_->GetNumDofs());
@ -228,10 +235,11 @@ da::sha::top::Tensor3d da::sha::top::ThermoelasticTop3d::TopOptMainLoop() {
}
// lambda_t
Eigen::VectorXd lambda_t = solver_th.solve(rhs);
#endif
// lambda_m_Mul_dKm_drho_Mul_U
Eigen::VectorXd lambda_m_Mul_dKm_drho_Mul_U =
-CalDEDrho_Vec(xPhys_col).array() * ce.array();
#ifndef MECH_ONLY
// lambda_t_Mul_dKt_drho_Mul_T
Eigen::VectorXd ce_th(sp_thermal_top3d_->sp_mesh_->GetNumEles());
for (int i = 0; i < sp_thermal_top3d_->sp_mesh_->GetNumEles(); ++i) {
@ -245,12 +253,20 @@ da::sha::top::Tensor3d da::sha::top::ThermoelasticTop3d::TopOptMainLoop() {
// Eigen::VectorXd dc_drho = lambda_t_Mul_dKt_drho_Mul_T +
// lambda_m_Mul_dKm_drho_Mul_U +
// 2 * Eigen::VectorXd(dF_drho * sp_mech_top3d_->U_);
#endif
#ifdef MECH_ONLY
Eigen::VectorXd dc_drho =
lambda_m_Mul_dKm_drho_Mul_U
;
#else
Eigen::VectorXd dc_drho =
lambda_t_Mul_dKt_drho_Mul_T
+
lambda_m_Mul_dKm_drho_Mul_U
+
2 * Eigen::VectorXd(dFth_drho * sp_mech_top3d_->U_);
#endif
#ifndef MECH_ONLY
// dT_drho
auto CalDKth_Mul_T__For_DTi_Drhoj = [&](int rho_i) -> Eigen::SparseVector<double> {
Eigen::VectorXi dofs_in_ele = sp_thermal_top3d_->sp_mesh_->MapEleId2Dofs(rho_i);
@ -283,15 +299,20 @@ da::sha::top::Tensor3d da::sha::top::ThermoelasticTop3d::TopOptMainLoop() {
}
}
// dc_dx
Eigen::VectorXd dc_dx = sp_mech_top3d_->drho_dx_ * dc_drho;
// dT_dx
Eigen::MatrixXd dT_dx = sp_mech_top3d_->drho_dx_ * dT_drho;
#endif
// dc_dx
Eigen::VectorXd dc_dx = sp_mech_top3d_->drho_dx_ * dc_drho;
// mma solver
#define SENSITIVITY_SCALE_COEF 200
size_t num_constraints =
1 + dT_dx.cols();// volume and temperature constraints
1
#ifndef MECH_ONLY
+ dT_dx.cols()// volume and temperature constraints
#endif
;
size_t num_variables = flg_chosen ? chosen_ele_id.size() : sp_mesh_->GetNumEles();
@ -299,15 +320,23 @@ da::sha::top::Tensor3d da::sha::top::ThermoelasticTop3d::TopOptMainLoop() {
Eigen::VectorXd variables_tmp = flg_chosen ? xPhys_col(chosen_ele_id) : xPhys_col;
double f0val = c;
Eigen::VectorXd df0dx = flg_chosen
? dc_dx(chosen_ele_id).eval() / dc_dx(chosen_ele_id).cwiseAbs().maxCoeff()*SENSITIVITY_SCALE_COEF
? dc_dx(chosen_ele_id).eval() / dc_dx(chosen_ele_id).cwiseAbs().maxCoeff() *
SENSITIVITY_SCALE_COEF
: dc_dx / dc_dx.cwiseAbs().maxCoeff() * SENSITIVITY_SCALE_COEF;
// double fval = v - num_variables * sp_para_->volfrac;
Eigen::VectorXd fval = (Eigen::VectorXd(num_constraints) << (v / num_variables - sp_para_->volfrac),
T(v_dof).array() / sp_para_->T_limit - 1).finished() * SENSITIVITY_SCALE_COEF;
Eigen::VectorXd fval = (Eigen::VectorXd(num_constraints) << (v / num_variables - sp_para_->volfrac)
#ifndef MECH_ONLY
, T(v_dof).array() / sp_para_->T_limit - 1
#endif
).finished() * SENSITIVITY_SCALE_COEF;
// Eigen::VectorXd dfdx = flg_chosen ? dv(chosen_ele_id) : dv;
Eigen::MatrixXd dfdx = (Eigen::MatrixXd(num_variables, num_constraints)
<< 1.0 / num_variables * dv, 1.0 / sp_para_->T_limit * dT_dx).finished().transpose() *
<< 1.0 / num_variables * dv
#ifndef MECH_ONLY
, 1.0 / sp_para_->T_limit * dT_dx
#endif
).finished().transpose() *
SENSITIVITY_SCALE_COEF;

2
src/Top3d.h
View File

@ -29,7 +29,7 @@ namespace da::sha {
double r_min = 2.0;
double T_ref = 295;
double T_limit=325;
double tol_x = 0.01;
double tol_x = 0.00001;
double E_factor = 1e-9;
double R_E = 8;
double R_lambda = 0;

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