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Thermo-elasticTopologyOptimization
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multiple_top
cflin 2 years ago
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1e48f868c1
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d85f889d0e
1 changed files with 25 additions and 39 deletions
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  1. 64
      src/ThermoelasticTop3d.h

64
src/ThermoelasticTop3d.h
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@ -86,38 +86,38 @@ namespace da::sha::top {
spdlog::warn("using Eigen built-in direct solver!"); spdlog::warn("using Eigen built-in direct solver!");
#endif #endif
// start iteration // start iteration
while (change > sp_para_->tol_x*1 && loop < sp_para_->max_loop) { while (change > sp_para_->tol_x * 1 && loop < sp_para_->max_loop) {
++loop; ++loop;
// filter // filter
xPhys_col = sp_mech_top3d_->H_ * (xPhys_col.array() / sp_mech_top3d_->Hs_.array()).matrix().eval(); xPhys_col = sp_mech_top3d_->H_ * (xPhys_col.array() / sp_mech_top3d_->Hs_.array()).matrix().eval();
auto CalR = [](double rho, double R) { auto CalR = [](double rho, double R) {
return rho / (1.0 + R * (1.0 - rho)); return rho / (1.0 + R * (1.0 - rho));
}; };
auto CalR_Vec=[](const Eigen::VectorXd& vec_rho,double R)->Eigen::VectorXd { auto CalR_Vec = [](const Eigen::VectorXd &vec_rho, double R) -> Eigen::VectorXd {
return vec_rho.array()/(1.0+R*(1.0-vec_rho.array())); return vec_rho.array() / (1.0 + R * (1.0 - vec_rho.array()));
}; };
auto CalDRDrho = [](double rho, double R) { auto CalDRDrho = [](double rho, double R) {
double down = 1 + R * (1 - rho); double down = 1 + R * (1 - rho);
return (1 + R) / down * down; return (1 + R) / down * down;
}; };
auto CalDRDrho_Vec=[](const Eigen::VectorXd&vec_rho,double R)->Eigen::VectorXd { auto CalDRDrho_Vec = [](const Eigen::VectorXd &vec_rho, double R) -> Eigen::VectorXd {
auto down=1+R*(1-vec_rho.array()); auto down = 1 + R * (1 - vec_rho.array());
return (1+R)/down.pow(2); return (1 + R) / down.pow(2);
}; };
auto CalE_Vec = [&](const Eigen::VectorXd& vec_rho)->Eigen::VectorXd { auto CalE_Vec = [&](const Eigen::VectorXd &vec_rho) -> Eigen::VectorXd {
return CalR_Vec(vec_rho, sp_para_->R_E) * E0_m; return CalR_Vec(vec_rho, sp_para_->R_E) * E0_m;
}; };
auto CalDEDrho_Vec=[&](const Eigen::VectorXd& vec_rho)->Eigen::VectorXd { auto CalDEDrho_Vec = [&](const Eigen::VectorXd &vec_rho) -> Eigen::VectorXd {
return CalDRDrho_Vec(vec_rho,sp_para_->R_E) * E0_m; return CalDRDrho_Vec(vec_rho, sp_para_->R_E) * E0_m;
}; };
auto CalLambda_Vec = [&](const Eigen::VectorXd &vec_rho) ->Eigen::VectorXd { auto CalLambda_Vec = [&](const Eigen::VectorXd &vec_rho) -> Eigen::VectorXd {
return lambda_min + CalR_Vec(vec_rho, sp_para_->R_lambda).array() * (lambda0 - lambda_min); return lambda_min + CalR_Vec(vec_rho, sp_para_->R_lambda).array() * (lambda0 - lambda_min);
}; };
auto CalDlambdaDrho = [&](double rho) { auto CalDlambdaDrho = [&](double rho) {
return CalDRDrho(rho, sp_para_->R_lambda) * (lambda0 - lambda_min); return CalDRDrho(rho, sp_para_->R_lambda) * (lambda0 - lambda_min);
}; };
auto CalDlambdaDrho_Vec=[&](const Eigen::VectorXd& vec_rho)->Eigen::VectorXd { auto CalDlambdaDrho_Vec = [&](const Eigen::VectorXd &vec_rho) -> Eigen::VectorXd {
return CalDRDrho_Vec(vec_rho,sp_para_->R_lambda) *(lambda0-lambda_min); return CalDRDrho_Vec(vec_rho, sp_para_->R_lambda) * (lambda0 - lambda_min);
}; };
auto CalBeta = [&](double rho) { auto CalBeta = [&](double rho) {
@ -129,10 +129,7 @@ namespace da::sha::top {
// solve T // solve T
Eigen::VectorXd sK_th = Eigen::VectorXd sK_th =
(sp_thermal_top3d_->sKe_ * (lambda_min + (sp_thermal_top3d_->sKe_ * CalLambda_Vec(xPhys_col).transpose())
xPhys_col.array() /
(1.0 + sp_para_->R_lambda * (1.0 - xPhys_col.array())) *
(lambda0 - lambda_min)).matrix().transpose())
.reshaped(); .reshaped();
auto v_tri_th = Vec2Triplet(sp_thermal_top3d_->iK_, sp_thermal_top3d_->jK_, sK_th); auto v_tri_th = Vec2Triplet(sp_thermal_top3d_->iK_, sp_thermal_top3d_->jK_, sK_th);
sp_thermal_top3d_->K_.setFromTriplets(v_tri_th.begin(), v_tri_th.end()); sp_thermal_top3d_->K_.setFromTriplets(v_tri_th.begin(), v_tri_th.end());
@ -149,12 +146,7 @@ namespace da::sha::top {
// solve U // solve U
Eigen::VectorXd sK_m = Eigen::VectorXd sK_m =
(sp_mech_top3d_->sKe_ * (sp_mech_top3d_->sKe_ * CalE_Vec(xPhys_col).transpose())
(
xPhys_col.array() /
(1.0 + sp_para_->R_E * (1.0 - xPhys_col.array())) *
E0_m).matrix()
.transpose())
.reshaped(); .reshaped();
auto v_tri_m = Vec2Triplet(sp_mech_top3d_->iK_, sp_mech_top3d_->jK_, sK_m); 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()); sp_mech_top3d_->K_.setFromTriplets(v_tri_m.begin(), v_tri_m.end());
@ -188,9 +180,7 @@ namespace da::sha::top {
ce(i) = Ue.transpose() * sp_mech_top3d_->Ke_ * Ue; ce(i) = Ue.transpose() * sp_mech_top3d_->Ke_ * Ue;
} }
double c = double c =
ce.transpose() * (xPhys_col.array() / ce.transpose() * CalE_Vec(xPhys_col);
(1.0 + sp_para_->R_E * (1.0 - xPhys_col.array())) *
E0_m).matrix();
double v = flg_chosen ? xPhys_col(chosen_ele_id).sum() : xPhys_col.sum(); double v = flg_chosen ? xPhys_col(chosen_ele_id).sum() : xPhys_col.sum();
// sensitivity // sensitivity
@ -242,7 +232,7 @@ namespace da::sha::top {
Eigen::SparseMatrix<double> &dF_drho = dFth_drho; Eigen::SparseMatrix<double> &dF_drho = dFth_drho;
// lambda_m_Mul_dKm_drho_Mul_U // lambda_m_Mul_dKm_drho_Mul_U
Eigen::VectorXd lambda_m_Mul_dKm_drho_Mul_U = Eigen::VectorXd lambda_m_Mul_dKm_drho_Mul_U =
-((1 + sp_para_->R_E) / (1.0 + sp_para_->R_E * (1.0 - xPhys_col.array())).pow(2)) * ce.array(); -CalDEDrho_Vec(xPhys_col).array() * ce.array();
// lambda_t_Mul_dKt_drho_Mul_T // lambda_t_Mul_dKt_drho_Mul_T
Eigen::VectorXd ce_th(sp_thermal_top3d_->sp_mesh_->GetNumEles()); Eigen::VectorXd ce_th(sp_thermal_top3d_->sp_mesh_->GetNumEles());
for (int i = 0; i < sp_thermal_top3d_->sp_mesh_->GetNumEles(); ++i) { for (int i = 0; i < sp_thermal_top3d_->sp_mesh_->GetNumEles(); ++i) {
@ -251,23 +241,19 @@ namespace da::sha::top {
Eigen::VectorXd lambda_t_e = lambda_t(dofs_in_ele_i); Eigen::VectorXd lambda_t_e = lambda_t(dofs_in_ele_i);
ce_th(i) = lambda_t_e.transpose() * sp_thermal_top3d_->Ke_ * Te; ce_th(i) = lambda_t_e.transpose() * sp_thermal_top3d_->Ke_ * Te;
} }
Eigen::VectorXd lambda_t_Mul_dKt_drho_Mul_T = ((1 + (lambda0 - lambda_min)) / Eigen::VectorXd lambda_t_Mul_dKt_drho_Mul_T = CalDlambdaDrho_Vec(xPhys_col).array() * ce_th.array();
(1.0 +
(lambda0 - lambda_min) * (1.0 - xPhys_col.array())).pow(
2)) *
ce_th.array();
// dc_drho // dc_drho
// Eigen::VectorXd dc_drho = lambda_t_Mul_dKt_drho_Mul_T + 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_);
Eigen::VectorXd dc_drho =
lambda_m_Mul_dKm_drho_Mul_U + lambda_m_Mul_dKm_drho_Mul_U +
2 * Eigen::VectorXd(dF_drho * sp_mech_top3d_->U_); 2 * Eigen::VectorXd(dF_drho * sp_mech_top3d_->U_);
// Eigen::VectorXd dc_drho =
// lambda_m_Mul_dKm_drho_Mul_U +
// 2 * Eigen::VectorXd(dF_drho * sp_mech_top3d_->U_);
// dT_drho // dT_drho
Eigen::MatrixXd dT_drho = Eigen::MatrixXd::Zero(sp_thermal_top3d_->sp_mesh_->GetNumEles(), Eigen::MatrixXd dT_drho = Eigen::MatrixXd::Zero(sp_thermal_top3d_->sp_mesh_->GetNumEles(),
sp_thermal_top3d_->set_dofs_to_load.size()); sp_thermal_top3d_->set_dofs_to_load.size());
for(auto it=map_ele2Limit.begin();it!=map_ele2Limit.end();++it){ for (auto it = map_ele2Limit.begin(); it != map_ele2Limit.end(); ++it) {
auto [ele_id,v_limited]=*it; auto [ele_id, v_limited] = *it;
Eigen::VectorXi dofs_in_ele_i = sp_thermal_top3d_->sp_mesh_->MapEleId2Dofs(ele_id); Eigen::VectorXi dofs_in_ele_i = sp_thermal_top3d_->sp_mesh_->MapEleId2Dofs(ele_id);
Eigen::VectorXd dKe_th_Mul_T = Eigen::VectorXd dKe_th_Mul_T =
CalDlambdaDrho(xPhys_col(ele_id)) * sp_thermal_top3d_->Ke_ * T(dofs_in_ele_i); CalDlambdaDrho(xPhys_col(ele_id)) * sp_thermal_top3d_->Ke_ * T(dofs_in_ele_i);
@ -280,7 +266,7 @@ namespace da::sha::top {
} }
} }
Eigen::VectorXd ele_dT_drho = Ke_th.llt().solve(-dKe_th_Mul_T); Eigen::VectorXd ele_dT_drho = Ke_th.llt().solve(-dKe_th_Mul_T);
for(auto &limited:v_limited){ for (auto &limited: v_limited) {
dT_drho(ele_id, limited.idx_of_load_dof) = ele_dT_drho(limited.idx_in_ele); dT_drho(ele_id, limited.idx_of_load_dof) = ele_dT_drho(limited.idx_in_ele);
} }
} }
@ -339,7 +325,7 @@ namespace da::sha::top {
} }
spdlog::critical("Iter: {:3d}, Comp: {:.3e}, Vol: {:.2f}, Change: {:f}", loop, c, v, change); spdlog::critical("Iter: {:3d}, Comp: {:.3e}, Vol: {:.2f}, Change: {:f}", loop, c, v, change);
std::cout<<fval.transpose()<<std::endl; std::cout << fval.transpose() << std::endl;
#ifdef WRITE_TENSOR_IN_LOOP #ifdef WRITE_TENSOR_IN_LOOP
// extract vtk // extract vtk
ele_to_write(pixel_idx) = xPhys_col; ele_to_write(pixel_idx) = xPhys_col;

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