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Thermo-elasticTopologyOptimization
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Merge branch 'dev'

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cflin 2 years ago
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edfb07742f 6e84519dc7
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6 changed files with 257 additions and 240 deletions
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  1. 2
      examples/top-mech-regular-model-test/config.json
  2. 18
      examples/top-thermoelastic-regular-model/config.json
  3. 15
      src/ThermoelasticTop3d.cpp
  4. 8
      src/ThermoelasticTop3d.h
  5. 25
      src/Top3d.cpp
  6. 1
      src/Top3d.h

2
examples/top-mech-regular-model-test/config.json
View File

@ -6,7 +6,7 @@
"topology": {
"max_loop": 100,
"volfrac": 0.5,
"penal": 3.0,
"penal": 1.0,
"r_min": 1.5
},
"model": {

18
examples/top-thermoelastic-regular-model/config.json
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@ -2,23 +2,23 @@
"material": {
"E": 1.0,
"poisson_ratio": 0.3,
"thermal_conductivity":1e11, "unit": "W/K",
"thermal_expansion_coefficient": 1e-15, "unit": "1/K"
"thermal_conductivity":0.004, "unit": "W/K",
"thermal_expansion_coefficient": 1e-6, "unit": "1/K"
},
"topology": {
"max_loop": 100,
"volfrac": 0.5,
"r_min": 1.5,
"T_ref": 295,
"T_limit": 3250,
"R_E": 8,
"T_limit": 325,
"R_E": 0,
"R_lambda": 0,
"R_beta": 0
},
"model": {
"regular_model": {
"lx": 1,
"ly": 40,
"lx": 2,
"ly": 20,
"lz": 30
},
"visual_model":"2-box-refined.obj"
@ -28,7 +28,7 @@
{
"min": [0, 1, 0],
"max": [1, 1, 0],
"val": [0.0, 0.0, -500.0]
"val": [0.0, 0.0, -1.0]
}
],
@ -45,12 +45,12 @@
{
"min": [0, 0.25, 0.5],
"max": [1, 0.25, 0.5],
"heat_flux": 0.06, "unit": "W"
"heat_flux": 1e-15, "unit": "W"
},
{
"min": [0, 0.75, 0.5],
"max": [1, 0.75, 0.5],
"heat_flux": 0.06, "unit": "W"
"heat_flux": 1e-15, "unit": "W"
}
],

15
src/ThermoelasticTop3d.cpp
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@ -75,7 +75,7 @@ da::sha::top::Tensor3d da::sha::top::ThermoelasticTop3d::TopOptMainLoop() {
spdlog::warn("using Eigen built-in direct solver!");
#endif
// start iteration
while (change > sp_para_->tol_x * 1 && loop < sp_para_->max_loop) {
while (change > sp_para_->tol_x && loop < sp_para_->max_loop) {
++loop;
// filter
xPhys_col = sp_mech_top3d_->H_ * (xPhys_col.array() / sp_mech_top3d_->Hs_.array()).matrix().eval();
@ -151,6 +151,7 @@ da::sha::top::Tensor3d da::sha::top::ThermoelasticTop3d::TopOptMainLoop() {
F_th(dofs_m) += beta_rho * (Te - sp_mech_top3d_->sp_para_->T_ref) * Inted_;
}
Eigen::VectorXd F = Eigen::VectorXd(sp_mech_top3d_->F_) + F_th;
sp_mech_top3d_->IntroduceFixedDofs(sp_mech_top3d_->K_, F);
#ifdef USE_SUITESPARSE
Eigen::CholmodSupernodalLLT<Eigen::SparseMatrix<double>> solver;
@ -170,11 +171,13 @@ da::sha::top::Tensor3d da::sha::top::ThermoelasticTop3d::TopOptMainLoop() {
}
double c =
ce.transpose() * CalE_Vec(xPhys_col);
double v = flg_chosen ? xPhys_col(chosen_ele_id).sum() : xPhys_col.sum();
// sensitivity
// lambda_m
Eigen::VectorXd lambda_m = -sp_mech_top3d_->U_;
// dFth_drho
Eigen::SparseMatrix<double> dFth_drho(sp_mech_top3d_->sp_mesh_->GetNumEles(),
sp_mech_top3d_->sp_mesh_->GetNumDofs());
@ -193,6 +196,7 @@ da::sha::top::Tensor3d da::sha::top::ThermoelasticTop3d::TopOptMainLoop() {
auto v_dFth_drho_tri = Vec2Triplet(i_dFth_drho_, j_dFth_drho_, v_dFth_drho);
dFth_drho.setFromTriplets(v_dFth_drho_tri.begin(), v_dFth_drho_tri.end());
// dFth_dT
Eigen::SparseMatrix<double> dFth_dT(sp_thermal_top3d_->sp_mesh_->GetNumDofs(),
sp_mech_top3d_->sp_mesh_->GetNumDofs());
@ -259,6 +263,7 @@ da::sha::top::Tensor3d da::sha::top::ThermoelasticTop3d::TopOptMainLoop() {
dT_drho(ele_id, limited.idx_of_load_dof) = ele_dT_drho(limited.idx_in_ele);
}
}
// for (int i = 0; i < sp_thermal_top3d_->sp_mesh_->GetNumEles(); ++i) {
// Eigen::VectorXi dofs_in_ele_i = sp_thermal_top3d_->sp_mesh_->MapEleId2Dofs(i);
// Eigen::VectorXd dKe_th_Mul_T =
@ -279,13 +284,15 @@ da::sha::top::Tensor3d da::sha::top::ThermoelasticTop3d::TopOptMainLoop() {
// }
// dc_dx
Eigen::VectorXd dc_dx = drho_dx_ * dc_drho;
Eigen::VectorXd dc_dx = sp_mech_top3d_->drho_dx_ * dc_drho;
// dT_dx
Eigen::MatrixXd dT_dx = drho_dx_ * dT_drho;
Eigen::MatrixXd dT_dx = sp_mech_top3d_->drho_dx_ * dT_drho;
// mma solver
size_t num_constraints =
1 + dT_dx.cols();// volume and temperature constraints
size_t num_variables = flg_chosen ? chosen_ele_id.size() : sp_mesh_->GetNumEles();
auto mma = std::make_shared<MMASolver>(num_variables, num_constraints);
Eigen::VectorXd variables_tmp = flg_chosen ? xPhys_col(chosen_ele_id) : xPhys_col;
@ -299,6 +306,8 @@ da::sha::top::Tensor3d da::sha::top::ThermoelasticTop3d::TopOptMainLoop() {
// 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();
static Eigen::VectorXd low_bounds = Eigen::VectorXd::Zero(num_variables);
static Eigen::VectorXd up_bounds = Eigen::VectorXd::Ones(num_variables);

8
src/ThermoelasticTop3d.h
View File

@ -43,13 +43,6 @@ namespace da::sha::top {
D0_ = sp_mech_top3d_->sp_fea_->computeD(1.0);
const Eigen::MatrixXd Be = sp_mech_top3d_->sp_fea_->computeBe();
Inted_ = Be.transpose() * D0_ * (Eigen::VectorXd(6) << 1, 1, 1, 0, 0, 0).finished();
Eigen::VectorXi i_Hs = Eigen::VectorXi::LinSpaced(sp_mech_top3d_->Hs_.size(), 0,
sp_mech_top3d_->Hs_.size());
Eigen::SparseMatrix<double> sp_Hs(i_Hs.size(), i_Hs.size());
auto v_tri = Vec2Triplet(i_Hs, i_Hs, sp_mech_top3d_->Hs_);
sp_Hs.setFromTriplets(v_tri.begin(), v_tri.end());
drho_dx_ = sp_Hs * sp_mech_top3d_->H_;
}
@ -60,7 +53,6 @@ namespace da::sha::top {
Eigen::VectorXi i_dFth_drho_, j_dFth_drho_;
Eigen::VectorXd Inted_;
Eigen::MatrixXd D0_;
Eigen::SparseMatrix<double> drho_dx_;
};
}

25
src/Top3d.cpp
View File

@ -7,6 +7,7 @@
#include <cassert>
#include "Eigen/src/Core/Matrix.h"
#include "Util.h"
namespace da::sha {
namespace top {
Tensor3d Top3d::TopOptMainLoop() {
@ -47,6 +48,8 @@ Tensor3d Top3d::TopOptMainLoop() {
// start iteration
while (change > sp_para_->tol_x && loop < sp_para_->max_loop) {
++loop;
// filter
xPhys_col = H_ * (xPhys_col.array() / Hs_.array()).matrix().eval();
Eigen::VectorXd sK =
(sKe_ * (Emin + xPhys_col.array().pow(sp_para_->penal) * (E0 - Emin)).matrix().transpose())
.reshaped();
@ -71,8 +74,10 @@ Tensor3d Top3d::TopOptMainLoop() {
ce.transpose() * (Emin + xPhys_col.array().pow(sp_para_->penal) * (E0 - Emin)).matrix();
double v = flg_chosen ? xPhys_col(chosen_ele_id).sum() : xPhys_col.sum();
Eigen::VectorXd dc =
// sensitivity
Eigen::VectorXd dc_drho =
-sp_para_->penal * (E0 - Emin) * xPhys_col.array().pow(sp_para_->penal - 1.0) * ce.array();
Eigen::VectorXd dc_dx = drho_dx_ * dc_drho;
// mma solver
size_t num_constrants = 1;
@ -81,8 +86,8 @@ Tensor3d Top3d::TopOptMainLoop() {
Eigen::VectorXd variables_tmp = flg_chosen ? xPhys_col(chosen_ele_id) : xPhys_col;
double f0val = c;
Eigen::VectorXd df0dx = flg_chosen
? dc(chosen_ele_id).eval() / dc(chosen_ele_id).cwiseAbs().maxCoeff()
: dc / dc.cwiseAbs().maxCoeff();
? dc_dx(chosen_ele_id).eval() / dc_dx(chosen_ele_id).cwiseAbs().maxCoeff()
: dc_dx / dc_dx.cwiseAbs().maxCoeff();
double fval = v - num_variables * sp_para_->volfrac;
Eigen::VectorXd dfdx = flg_chosen ? dv(chosen_ele_id) : dv;
static Eigen::VectorXd low_bounds = Eigen::VectorXd::Zero(num_variables);
@ -217,14 +222,16 @@ void Top3d::Precompute() {
for (int i2 = std::max(i - delta, 0); i2 <= std::min(i + delta, sp_mesh_->GetLx() - 1);
++i2) {
int ele_id1 =
sp_mesh_->MapEleCoord2Id((Eigen::MatrixXi(1, 3) << i2, j2, k2).finished())(0);
sp_mesh_->MapEleCoord2Id((Eigen::MatrixXi(1, 3) << i2, j2, k2).finished())(
0);
if (ele_id1 == -1) {
continue;
}
iH(cnt) = ele_id0;
jH(cnt) = ele_id1;
sH(cnt) =
std::max(0.0, sp_para_->r_min - Eigen::Vector3d(i - i2, j - j2, k - k2).norm());
std::max(0.0,
sp_para_->r_min - Eigen::Vector3d(i - i2, j - j2, k - k2).norm());
Hs_(ele_id0) += sH(cnt);
++cnt;
}
@ -236,6 +243,14 @@ void Top3d::Precompute() {
std::vector<Eigen::Triplet<double>> v_tri = Vec2Triplet(iH, jH, sH);
H_ = SpMat(sp_mesh_->GetNumEles(), sp_mesh_->GetNumEles());
H_.setFromTriplets(v_tri.begin(), v_tri.end());
Eigen::VectorXi i_Hs = Eigen::VectorXi::LinSpaced(Hs_.size(), 0,
Hs_.size());
Eigen::SparseMatrix<double> sp_inv_Hs(i_Hs.size(), i_Hs.size());
auto v_inv_Hs_tri = Vec2Triplet(i_Hs, i_Hs, Eigen::VectorXd(1.0 / Hs_.array()));
sp_inv_Hs.setFromTriplets(v_inv_Hs_tri.begin(), v_inv_Hs_tri.end());
drho_dx_ = sp_inv_Hs * H_;
}
} // namespace top
} // namespace da::sha

1
src/Top3d.h
View File

@ -188,6 +188,7 @@ namespace da::sha {
SpMat H_;
Eigen::VectorXd Hs_;
Eigen::SparseMatrix<double> drho_dx_;
// result
Eigen::VectorXd U_;
Eigen::VectorXd rho_;

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