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| Author | SHA1 | Date | |
|---|---|---|---|
| 1b306b77af | |||
| 9b80340998 | |||
| 5b2331445c | |||
| e3c7b88dfb | |||
| 64cb04388a | |||
| b07c9e6cea | |||
| 1585c76980 |
@@ -1,12 +0,0 @@
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#include "Header.h"
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#include "Solver.h"
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#include <Eigen/Dense>
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using namespace Eigen;
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int main() {
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Solver slv(5., 4., 0., 1., 30, 0, 10);
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std::cout << "Linear element:";
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slv.Execute_Linear(0, 5);
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std::cout << "\nCubic element:";
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slv.Execute_Cubic(0, 5);
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return 0;
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}
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@@ -142,6 +142,7 @@
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<ConformanceMode>true</ConformanceMode>
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<LanguageStandard>Default</LanguageStandard>
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<LanguageStandard_C>Default</LanguageStandard_C>
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<AdditionalIncludeDirectories>include/</AdditionalIncludeDirectories>
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</ClCompile>
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<Link>
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<SubSystem>Console</SubSystem>
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@@ -156,6 +157,7 @@
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<ConformanceMode>true</ConformanceMode>
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<LanguageStandard>Default</LanguageStandard>
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<LanguageStandard_C>Default</LanguageStandard_C>
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<AdditionalIncludeDirectories>include/</AdditionalIncludeDirectories>
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</ClCompile>
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<Link>
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<SubSystem>Console</SubSystem>
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@@ -172,6 +174,7 @@
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<ConformanceMode>true</ConformanceMode>
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<LanguageStandard>Default</LanguageStandard>
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<LanguageStandard_C>Default</LanguageStandard_C>
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<AdditionalIncludeDirectories>include/</AdditionalIncludeDirectories>
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</ClCompile>
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<Link>
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<SubSystem>Console</SubSystem>
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@@ -179,15 +182,15 @@
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</Link>
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</ItemDefinitionGroup>
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<ItemGroup>
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<ClCompile Include="MemMAPR-MKE.cpp" />
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<ClCompile Include="Solver.cpp" />
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<ClCompile Include="src\MemMAPR-MKE.cpp" />
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<ClCompile Include="src\Solver.cpp" />
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</ItemGroup>
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<ItemGroup>
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<None Include="packages.config" />
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</ItemGroup>
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<ItemGroup>
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<ClInclude Include="Header.h" />
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<ClInclude Include="Solver.h" />
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<ClInclude Include="include\Header.h" />
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<ClInclude Include="include\Solver.h" />
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</ItemGroup>
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<Import Project="$(VCTargetsPath)\Microsoft.Cpp.targets" />
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<ImportGroup Label="ExtensionTargets">
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@@ -18,22 +18,22 @@
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</Filter>
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</ItemGroup>
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<ItemGroup>
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<ClCompile Include="MemMAPR-MKE.cpp">
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<Filter>Исходные файлы</Filter>
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</ClCompile>
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<ClCompile Include="Solver.cpp">
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<ClCompile Include="src\Solver.cpp">
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<Filter>Solver</Filter>
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</ClCompile>
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<ClCompile Include="src\MemMAPR-MKE.cpp">
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<Filter>Исходные файлы</Filter>
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</ClCompile>
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</ItemGroup>
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<ItemGroup>
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<None Include="packages.config" />
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</ItemGroup>
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<ItemGroup>
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<ClInclude Include="Header.h">
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<Filter>Исходные файлы</Filter>
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</ClInclude>
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<ClInclude Include="Solver.h">
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<ClInclude Include="include\Solver.h">
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<Filter>Solver</Filter>
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</ClInclude>
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<ClInclude Include="include\Header.h">
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<Filter>Исходные файлы</Filter>
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</ClInclude>
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</ItemGroup>
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</Project>
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@@ -102,7 +102,7 @@
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" y = np.fromstring(data_str, sep=' ')\n",
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" y_real = u(x)\n",
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"\n",
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" plt.plot(x, y, label=\"Linear element solution\", color='red')\n",
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" plt.plot(x, y, label=\"Linear element solution\", color='blue')\n",
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" plt.plot(x, y_real, label=\"Numeral solution\", color='black')\n",
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" plt.title(f\"Linear element, elements = {elements}\")\n",
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" plt.grid(True)\n",
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@@ -138,7 +138,7 @@
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" y = np.fromstring(data_str, sep=' ')\n",
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" y_real = u(x)\n",
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"\n",
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" plt.plot(x, y, label=\"Cubic element solution\", color=\"orange\")\n",
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" plt.plot(x, y, label=\"Cubic element solution\", color=\"red\")\n",
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" plt.plot(x, y_real, label=\"Numeral solution\", color='black')\n",
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" plt.title(f\"Cubic element, elements = {elements} \")\n",
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" plt.xlabel(\"x\")\n",
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@@ -1,4 +1,10 @@
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// Особенности MSVC
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#define _SILENCE_EXPERIMENTAL_FILESYSTEM_DEPRECATION_WARNING
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#pragma once
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#include <experimental/filesystem>
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using namespace std;
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using namespace std::experimental::filesystem;
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class Solver {
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private:
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@@ -14,4 +20,12 @@ public:
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Solver(double _A, double _B, double _C, double _D, int _N, int _l, int _u);
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void Execute_Linear(double value_1, double value_2);
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void Execute_Cubic(double value_1, double value_2);
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bool check_path(string path) {
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return exists(path);
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}
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void make_path(string path) {
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create_directory(path);
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}
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};
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18
src/MemMAPR-MKE.cpp
Normal file
18
src/MemMAPR-MKE.cpp
Normal file
@@ -0,0 +1,18 @@
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#include "Solver.h"
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#include "Header.h"
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#include <Eigen/Dense>
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#define A 5.
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#define B 4.
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#define C 0.
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#define D 1.
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using namespace Eigen;
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int main() {
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std::cout << A << "u''" << " + " << B << "u'" << "+ " << C << "u + " << D << " = 0" << std::endl;
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Solver slv(A, B, C, D, 20, 0, 10);
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std::cout << "Linear element:";
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slv.Execute_Linear(0, 5);
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std::cout << "\nCubic element:";
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slv.Execute_Cubic(0, 5);
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return 0;
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}
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@@ -3,6 +3,9 @@
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using namespace Eigen;
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Solver::Solver(double _A, double _B, double _C, double _D, int _N, int _l, int _u) {
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if (_N < 1)
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throw std::runtime_error("N CAN BE OVER THAN 1!");
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A = _A, B = _B, C = _C, D = _D, N = _N;
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upper = _u, lower = _l;
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L = (double)(upper - lower) / N;
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@@ -16,24 +19,24 @@ void Solver::Execute_Linear(double val1, double val2) {
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// Локальный вектор нагрузки
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VectorXd local_load(2);
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local(0, 0) = -A / L - B / 2. + C * L / 3.;
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local(0, 1) = A / L + B / 2. + C * L / 6.;
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local(1, 0) = A / L - B / 2. + C * L / 6.;
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local(1, 1) = -A / L + B / 2. + C * L / 3.;
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local(0, 0) = -A / L - B / 2. + C * L / 2.;
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local(0, 1) = A / L + B / 2. + C * L / 2.;
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local(1, 0) = A / L - B / 2. + C * L / 2.;
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local(1, 1) = -A / L + B / 2. + C * L / 2.;
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local_load(0) = -D * L / 2.;
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local_load(1) = -D * L / 2.;
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// Глобальная матрица жёсткости
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MatrixXd ansamb = MatrixXd::Zero(N + 1, N + 1);
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// Глобальный вектор нагрузок
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VectorXd global_load = VectorXd::Zero(N + 1);
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// Глобальная матрица жёсткости
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MatrixXd ansamb = MatrixXd::Zero(N + 2, N + 2);
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// Ансамблирование
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// Глобальный вектор нагрузок
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VectorXd global_load = VectorXd::Zero(N + 2);
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// Ансамблирование (с учётом смещения на 1)
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for (int elem = 0; elem < N; ++elem) {
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int node_i = elem;
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int node_j = elem + 1;
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int node_i = elem + 1;
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int node_j = elem + 2;
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ansamb(node_i, node_i) += local(0, 0);
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ansamb(node_i, node_j) += local(0, 1);
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@@ -50,17 +53,24 @@ void Solver::Execute_Linear(double val1, double val2) {
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std::cout << "Ansamb load vector:\n" << global_load << std::endl;
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#endif
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// Граничные условия
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// Boundary conditions
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double u_right = val2;
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ansamb.row(0).setZero();
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ansamb.row(N).setZero();
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ansamb(0, 0) = L + 1;
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// 3rd type of boundary condition
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ansamb.row(0).setZero();
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ansamb(0, 0) = 1;
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ansamb(0, 1) = -1;
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global_load(0) = 0;
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ansamb(1, 1) -= A;
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ansamb(N, N) = 1;
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global_load(N) = u_right;
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// 1st type of boundary condition
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for (int i = 0; i < global_load.size(); ++i) {
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global_load(i) = global_load(i) - u_right * ansamb(i, N + 1);
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}
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ansamb.row(N + 1).setZero();
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ansamb.col(N + 1).setZero();
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ansamb(N + 1, N + 1) = 1;
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global_load(N + 1) = u_right;
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#if DEBUG
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std::cout << "\nAfter:" << std::endl;
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@@ -74,7 +84,7 @@ void Solver::Execute_Linear(double val1, double val2) {
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std::cout << solution << std::endl;
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std::ofstream file("matrix_linear_" + std::to_string(N) + ".txt");
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for (int i = 0; i < solution.size(); i++) {
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for (int i = 1; i < solution.size(); i++) {
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file << solution(i) << ' ';
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}
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file << std::endl;
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@@ -82,7 +92,7 @@ void Solver::Execute_Linear(double val1, double val2) {
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void Solver::Execute_Cubic(double val1, double val2) {
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int mat_dim = 1 + N * 3;
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int mat_dim = N * 3 + 2; // +2 для граничных узлов, как в линейном случае
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// Локальная матрица жёсткости
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MatrixXd local = MatrixXd::Zero(4, 4);
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@@ -93,7 +103,7 @@ void Solver::Execute_Cubic(double val1, double val2) {
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// Формирование локальной матрицы жёсткости
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local(0, 0) = -A * 37.0 / 10.0 / L + B * (-1.0) / 2.0 + C * 8. * L / 105.;
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local(0, 1) = -A * (-189.0) / 40.0 / L + B * 57.0 / 80.0 + C * 33. * L / 560.;
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local(0, 2) = -A * 27.0 / 20.0 / L + B * (-3.0) / 10.0 - C * 3. * L / 140.;
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local(0, 2) = -A * 27.0 / 20.0 / L + B * (-3.0) / 10.0 - C * 3. * L / 140.;
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local(0, 3) = -A * (-13.0) / 40.0 / L + B * 7.0 / 80.0 + C * 19. * L / 1680.;
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local(1, 0) = -A * (-189.0) / 40.0 / L + B * (-57.0) / 80.0 + C * 33. * L / 560.;
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@@ -111,24 +121,21 @@ void Solver::Execute_Cubic(double val1, double val2) {
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local(3, 2) = -A * (-189.0) / 40.0 / L + B * (-57.0) / 80.0 + C * 33. * L / 560.;
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local(3, 3) = -A * 37.0 / 10.0 / L + B * 1.0 / 2.0 + C * 8. * L / 105.;
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// Формирование локального вектора нагрузки
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// Локальный вектор нагрузки
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local_load(0) = -D * L / 8.0;
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local_load(1) = -D * 3.0 * L / 8.0;
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local_load(2) = -D * 3.0 * L / 8.0;
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local_load(3) = -D * L / 8.0;
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// Глобальная матрица жёсткости
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// Глобальные матрицы
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MatrixXd ansamb = MatrixXd::Zero(mat_dim, mat_dim);
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// Глобальный вектор нагрузок
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VectorXd global_load = VectorXd::Zero(mat_dim);
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// Ансамблирование
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// Ансамблирование (со смещением на 1, как в линейной версии)
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for (int elem = 0; elem < N; ++elem) {
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int node_i = elem * 3;
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for (int i = 0; i < 4; i++) {
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for (int j = 0; j < 4; j++) {
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int node_i = 1 + elem * 3; // смещение на 1
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for (int i = 0; i < 4; ++i) {
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for (int j = 0; j < 4; ++j) {
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ansamb(node_i + i, node_i + j) += local(i, j);
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}
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global_load(node_i + i) += local_load(i);
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@@ -144,12 +151,19 @@ void Solver::Execute_Cubic(double val1, double val2) {
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// Граничные условия
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double u_right = val2;
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// 3rd type of boundary condition
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ansamb.row(0).setZero();
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ansamb(0, 0) = L / 3.0 + 1;
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ansamb(0, 0) = 1;
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ansamb(0, 1) = -1;
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global_load(0) = 0;
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ansamb(1, 1) -= A;
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// 1st type of boundary condition
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for (int i = 0; i < global_load.size(); ++i) {
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global_load(i) = global_load(i) - u_right * ansamb(i, mat_dim - 1);
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}
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ansamb.row(mat_dim - 1).setZero();
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ansamb.col(mat_dim - 1).setZero();
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ansamb(mat_dim - 1, mat_dim - 1) = 1;
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global_load(mat_dim - 1) = u_right;
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@@ -165,7 +179,7 @@ void Solver::Execute_Cubic(double val1, double val2) {
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std::cout << solution << std::endl;
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std::ofstream file("matrix_cubic_" + std::to_string(N) + ".txt");
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for (int i = 0; i < solution.size(); i++) {
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for (int i = 1; i < solution.size(); i++) {
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file << solution(i) << ' ';
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}
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file << std::endl;
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Reference in New Issue
Block a user