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8 changed files with 110 additions and 73 deletions

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@@ -1,12 +0,0 @@
#include "Header.h"
#include "Solver.h"
#include <Eigen/Dense>
using namespace Eigen;
int main() {
Solver slv(5., 4., 0., 1., 30, 0, 10);
std::cout << "Linear element:";
slv.Execute_Linear(0, 5);
std::cout << "\nCubic element:";
slv.Execute_Cubic(0, 5);
return 0;
}

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@@ -142,6 +142,7 @@
<ConformanceMode>true</ConformanceMode>
<LanguageStandard>Default</LanguageStandard>
<LanguageStandard_C>Default</LanguageStandard_C>
<AdditionalIncludeDirectories>include/</AdditionalIncludeDirectories>
</ClCompile>
<Link>
<SubSystem>Console</SubSystem>
@@ -156,6 +157,7 @@
<ConformanceMode>true</ConformanceMode>
<LanguageStandard>Default</LanguageStandard>
<LanguageStandard_C>Default</LanguageStandard_C>
<AdditionalIncludeDirectories>include/</AdditionalIncludeDirectories>
</ClCompile>
<Link>
<SubSystem>Console</SubSystem>
@@ -172,6 +174,7 @@
<ConformanceMode>true</ConformanceMode>
<LanguageStandard>Default</LanguageStandard>
<LanguageStandard_C>Default</LanguageStandard_C>
<AdditionalIncludeDirectories>include/</AdditionalIncludeDirectories>
</ClCompile>
<Link>
<SubSystem>Console</SubSystem>
@@ -179,15 +182,15 @@
</Link>
</ItemDefinitionGroup>
<ItemGroup>
<ClCompile Include="MemMAPR-MKE.cpp" />
<ClCompile Include="Solver.cpp" />
<ClCompile Include="src\MemMAPR-MKE.cpp" />
<ClCompile Include="src\Solver.cpp" />
</ItemGroup>
<ItemGroup>
<None Include="packages.config" />
</ItemGroup>
<ItemGroup>
<ClInclude Include="Header.h" />
<ClInclude Include="Solver.h" />
<ClInclude Include="include\Header.h" />
<ClInclude Include="include\Solver.h" />
</ItemGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.targets" />
<ImportGroup Label="ExtensionTargets">

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@@ -18,22 +18,22 @@
</Filter>
</ItemGroup>
<ItemGroup>
<ClCompile Include="MemMAPR-MKE.cpp">
<Filter>Исходные файлы</Filter>
</ClCompile>
<ClCompile Include="Solver.cpp">
<ClCompile Include="src\Solver.cpp">
<Filter>Solver</Filter>
</ClCompile>
<ClCompile Include="src\MemMAPR-MKE.cpp">
<Filter>Исходные файлы</Filter>
</ClCompile>
</ItemGroup>
<ItemGroup>
<None Include="packages.config" />
</ItemGroup>
<ItemGroup>
<ClInclude Include="Header.h">
<Filter>Исходные файлы</Filter>
</ClInclude>
<ClInclude Include="Solver.h">
<ClInclude Include="include\Solver.h">
<Filter>Solver</Filter>
</ClInclude>
<ClInclude Include="include\Header.h">
<Filter>Исходные файлы</Filter>
</ClInclude>
</ItemGroup>
</Project>

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@@ -102,7 +102,7 @@
" y = np.fromstring(data_str, sep=' ')\n",
" y_real = u(x)\n",
"\n",
" plt.plot(x, y, label=\"Linear element solution\", color='red')\n",
" plt.plot(x, y, label=\"Linear element solution\", color='blue')\n",
" plt.plot(x, y_real, label=\"Numeral solution\", color='black')\n",
" plt.title(f\"Linear element, elements = {elements}\")\n",
" plt.grid(True)\n",
@@ -138,7 +138,7 @@
" y = np.fromstring(data_str, sep=' ')\n",
" y_real = u(x)\n",
"\n",
" plt.plot(x, y, label=\"Cubic element solution\", color=\"orange\")\n",
" plt.plot(x, y, label=\"Cubic element solution\", color=\"red\")\n",
" plt.plot(x, y_real, label=\"Numeral solution\", color='black')\n",
" plt.title(f\"Cubic element, elements = {elements} \")\n",
" plt.xlabel(\"x\")\n",

View File

@@ -1,4 +1,10 @@
// Особенности MSVC
#define _SILENCE_EXPERIMENTAL_FILESYSTEM_DEPRECATION_WARNING
#pragma once
#include <experimental/filesystem>
using namespace std;
using namespace std::experimental::filesystem;
class Solver {
private:
@@ -14,4 +20,12 @@ public:
Solver(double _A, double _B, double _C, double _D, int _N, int _l, int _u);
void Execute_Linear(double value_1, double value_2);
void Execute_Cubic(double value_1, double value_2);
bool check_path(string path) {
return exists(path);
}
void make_path(string path) {
create_directory(path);
}
};

18
src/MemMAPR-MKE.cpp Normal file
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@@ -0,0 +1,18 @@
#include "Solver.h"
#include "Header.h"
#include <Eigen/Dense>
#define A 5.
#define B 4.
#define C 0.
#define D 1.
using namespace Eigen;
int main() {
std::cout << A << "u''" << " + " << B << "u'" << "+ " << C << "u + " << D << " = 0" << std::endl;
Solver slv(A, B, C, D, 20, 0, 10);
std::cout << "Linear element:";
slv.Execute_Linear(0, 5);
std::cout << "\nCubic element:";
slv.Execute_Cubic(0, 5);
return 0;
}

View File

@@ -3,6 +3,9 @@
using namespace Eigen;
Solver::Solver(double _A, double _B, double _C, double _D, int _N, int _l, int _u) {
if (_N < 1)
throw std::runtime_error("N CAN BE OVER THAN 1!");
A = _A, B = _B, C = _C, D = _D, N = _N;
upper = _u, lower = _l;
L = (double)(upper - lower) / N;
@@ -16,24 +19,24 @@ void Solver::Execute_Linear(double val1, double val2) {
// Локальный вектор нагрузки
VectorXd local_load(2);
local(0, 0) = -A / L - B / 2.;// +C * L / 3.;
local(0, 1) = A / L + B / 2.; // +C * L / 6.;
local(1, 0) = A / L - B / 2.; // +C * L / 6.;
local(1, 1) = -A / L + B / 2.;// +C * L / 3.;
local(0, 0) = -A / L - B / 2. + C * L / 2.;
local(0, 1) = A / L + B / 2. + C * L / 2.;
local(1, 0) = A / L - B / 2. + C * L / 2.;
local(1, 1) = -A / L + B / 2. + C * L / 2.;
local_load(0) = -D * L / 2.;
local_load(1) = -D * L / 2.;
// Глобальная матрица жёсткости
MatrixXd ansamb = MatrixXd::Zero(N + 1, N + 1);
// Глобальный вектор нагрузок
VectorXd global_load = VectorXd::Zero(N + 1);
// Глобальная матрица жёсткости
MatrixXd ansamb = MatrixXd::Zero(N + 2, N + 2);
// Ансамблирование
// Глобальный вектор нагрузок
VectorXd global_load = VectorXd::Zero(N + 2);
// Ансамблирование (с учётом смещения на 1)
for (int elem = 0; elem < N; ++elem) {
int node_i = elem;
int node_j = elem + 1;
int node_i = elem + 1;
int node_j = elem + 2;
ansamb(node_i, node_i) += local(0, 0);
ansamb(node_i, node_j) += local(0, 1);
@@ -50,17 +53,24 @@ void Solver::Execute_Linear(double val1, double val2) {
std::cout << "Ansamb load vector:\n" << global_load << std::endl;
#endif
// Граничные условия
// Boundary conditions
double u_right = val2;
ansamb.row(0).setZero();
ansamb.row(N).setZero();
ansamb(0, 0) = L + 1;
// 3rd type of boundary condition
ansamb.row(0).setZero();
ansamb(0, 0) = 1;
ansamb(0, 1) = -1;
global_load(0) = 0;
ansamb(1, 1) -= A;
ansamb(N, N) = 1;
global_load(N) = u_right;
// 1st type of boundary condition
for (int i = 0; i < global_load.size(); ++i) {
global_load(i) = global_load(i) - u_right * ansamb(i, N + 1);
}
ansamb.row(N + 1).setZero();
ansamb.col(N + 1).setZero();
ansamb(N + 1, N + 1) = 1;
global_load(N + 1) = u_right;
#if DEBUG
std::cout << "\nAfter:" << std::endl;
@@ -74,7 +84,7 @@ void Solver::Execute_Linear(double val1, double val2) {
std::cout << solution << std::endl;
std::ofstream file("matrix_linear_" + std::to_string(N) + ".txt");
for (int i = 0; i < solution.size(); i++) {
for (int i = 1; i < solution.size(); i++) {
file << solution(i) << ' ';
}
file << std::endl;
@@ -82,7 +92,7 @@ void Solver::Execute_Linear(double val1, double val2) {
void Solver::Execute_Cubic(double val1, double val2) {
int mat_dim = 1 + N * 3;
int mat_dim = N * 3 + 2; // +2 для граничных узлов, как в линейном случае
// Локальная матрица жёсткости
MatrixXd local = MatrixXd::Zero(4, 4);
@@ -91,44 +101,41 @@ void Solver::Execute_Cubic(double val1, double val2) {
VectorXd local_load(4);
// Формирование локальной матрицы жёсткости
local(0, 0) = -A * 37.0 / 10.0 / L + B * (-1.0) / 2.0;
local(0, 1) = -A * (-189.0) / 40.0 / L + B * 57.0 / 80.0;
local(0, 2) = -A * 27.0 / 20.0 / L + B * (-3.0) / 10.0;
local(0, 3) = -A * (-13.0) / 40.0 / L + B * 7.0 / 80.0;
local(0, 0) = -A * 37.0 / 10.0 / L + B * (-1.0) / 2.0 + C * 8. * L / 105.;
local(0, 1) = -A * (-189.0) / 40.0 / L + B * 57.0 / 80.0 + C * 33. * L / 560.;
local(0, 2) = -A * 27.0 / 20.0 / L + B * (-3.0) / 10.0 - C * 3. * L / 140.;
local(0, 3) = -A * (-13.0) / 40.0 / L + B * 7.0 / 80.0 + C * 19. * L / 1680.;
local(1, 0) = -A * (-189.0) / 40.0 / L + B * (-57.0) / 80.0;
local(1, 1) = -A * 54.0 / 5.0 / L;
local(1, 2) = -A * (-297.0) / 40.0 / L + B * 81.0 / 80.0;
local(1, 3) = -A * 27.0 / 20.0 / L + B * (-3.0) / 10.0;
local(1, 0) = -A * (-189.0) / 40.0 / L + B * (-57.0) / 80.0 + C * 33. * L / 560.;
local(1, 1) = -A * 54.0 / 5.0 / L + C * 27. * L / 70.;
local(1, 2) = -A * (-297.0) / 40.0 / L + B * 81.0 / 80.0 - C * 27. * L / 560.;
local(1, 3) = -A * 27.0 / 20.0 / L + B * (-3.0) / 10.0 - C * 3. * L / 140.;
local(2, 0) = -A * 27.0 / 20.0 / L + B * 3.0 / 10.0;
local(2, 1) = -A * (-297.0) / 40.0 / L + B * (-81.0) / 80.0;
local(2, 2) = -A * 54.0 / 5.0 / L;
local(2, 3) = -A * (-189.0) / 40.0 / L + B * 57.0 / 80.0;
local(2, 0) = -A * 27.0 / 20.0 / L + B * 3.0 / 10.0 - C * 3. * L / 140.;
local(2, 1) = -A * (-297.0) / 40.0 / L + B * (-81.0) / 80.0 - C * 27. * L / 560.;
local(2, 2) = -A * 54.0 / 5.0 / L + C * 27. * L / 70.;
local(2, 3) = -A * (-189.0) / 40.0 / L + B * 57.0 / 80.0 + C * 33. * L / 560.;
local(3, 0) = -A * (-13.0) / 40.0 / L + B * (-7.0) / 80.0;
local(3, 1) = -A * 27.0 / 20.0 / L + B * 3.0 / 10.0;
local(3, 2) = -A * (-189.0) / 40.0 / L + B * (-57.0) / 80.0;
local(3, 3) = -A * 37.0 / 10.0 / L + B * 1.0 / 2.0;
local(3, 0) = -A * (-13.0) / 40.0 / L + B * (-7.0) / 80.0 + C * 19. * L / 1680.;
local(3, 1) = -A * 27.0 / 20.0 / L + B * 3.0 / 10.0 - C * 3. * L / 140.;
local(3, 2) = -A * (-189.0) / 40.0 / L + B * (-57.0) / 80.0 + C * 33. * L / 560.;
local(3, 3) = -A * 37.0 / 10.0 / L + B * 1.0 / 2.0 + C * 8. * L / 105.;
// Формирование локального вектора нагрузки
// Локальный вектор нагрузки
local_load(0) = -D * L / 8.0;
local_load(1) = -D * 3.0 * L / 8.0;
local_load(2) = -D * 3.0 * L / 8.0;
local_load(3) = -D * L / 8.0;
// Глобальная матрица жёсткости
// Глобальные матрицы
MatrixXd ansamb = MatrixXd::Zero(mat_dim, mat_dim);
// Глобальный вектор нагрузок
VectorXd global_load = VectorXd::Zero(mat_dim);
// Ансамблирование
// Ансамблирование (со смещением на 1, как в линейной версии)
for (int elem = 0; elem < N; ++elem) {
int node_i = elem * 3;
for (int i = 0; i < 4; i++) {
for (int j = 0; j < 4; j++) {
int node_i = 1 + elem * 3; // смещение на 1
for (int i = 0; i < 4; ++i) {
for (int j = 0; j < 4; ++j) {
ansamb(node_i + i, node_i + j) += local(i, j);
}
global_load(node_i + i) += local_load(i);
@@ -144,12 +151,19 @@ void Solver::Execute_Cubic(double val1, double val2) {
// Граничные условия
double u_right = val2;
// 3rd type of boundary condition
ansamb.row(0).setZero();
ansamb(0, 0) = L / 3.0 + 1;
ansamb(0, 0) = 1;
ansamb(0, 1) = -1;
global_load(0) = 0;
ansamb(1, 1) -= A;
// 1st type of boundary condition
for (int i = 0; i < global_load.size(); ++i) {
global_load(i) = global_load(i) - u_right * ansamb(i, mat_dim - 1);
}
ansamb.row(mat_dim - 1).setZero();
ansamb.col(mat_dim - 1).setZero();
ansamb(mat_dim - 1, mat_dim - 1) = 1;
global_load(mat_dim - 1) = u_right;
@@ -165,7 +179,7 @@ void Solver::Execute_Cubic(double val1, double val2) {
std::cout << solution << std::endl;
std::ofstream file("matrix_cubic_" + std::to_string(N) + ".txt");
for (int i = 0; i < solution.size(); i++) {
for (int i = 1; i < solution.size(); i++) {
file << solution(i) << ' ';
}
file << std::endl;