From b8bc3f705a663cbd3469ee1db5155f154175d44c Mon Sep 17 00:00:00 2001 From: ParkSuMin Date: Thu, 25 Sep 2025 01:36:55 +0300 Subject: [PATCH] =?UTF-8?q?=D0=A3=D0=B1=D1=80=D0=B0=D0=BB=20=D0=B2=20?= =?UTF-8?q?=D0=BB=D0=B8=D0=BD=D0=B5=D0=B9=D0=BD=D0=BE=D0=B9=20=D1=81=D0=BE?= =?UTF-8?q?=D0=BB=D0=B2=D0=B5=D1=80=D0=B5=20=D0=BF=D0=B5=D1=80=D0=B5=D0=BC?= =?UTF-8?q?=D0=B5=D0=BD=D0=BD=D1=83=D1=8E=20C=20+=20=D0=BF=D0=BE=D0=BF?= =?UTF-8?q?=D1=80=D0=B0=D0=B2=D0=B8=D0=BB=20=D0=B2=D0=BD=D0=B5=D1=88=D0=BD?= =?UTF-8?q?=D0=B8=D0=B9=20=D0=B2=D0=B8=D0=B4=20=D0=BA=D1=83=D0=B1=D0=B8?= =?UTF-8?q?=D1=87=D0=B5=D1=81=D0=BA=D0=BE=D0=B3=D0=BE=20=D1=81=D0=BE=D0=BB?= =?UTF-8?q?=D0=B2=D0=B5=D1=80=D0=B0?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- Solver.cpp | 134 +++++++++++++++++++++++++++++------------------------ 1 file changed, 73 insertions(+), 61 deletions(-) diff --git a/Solver.cpp b/Solver.cpp index 62e86a3..a646e30 100644 --- a/Solver.cpp +++ b/Solver.cpp @@ -1,4 +1,4 @@ -#include "Header.h" +#include "Header.h" #include using namespace Eigen; @@ -16,10 +16,10 @@ 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 / 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_load(0) = -D * L / 2.; local_load(1) = -D * L / 2.; @@ -80,81 +80,93 @@ void Solver::Execute_Linear(double val1, double val2) { file << std::endl; } -// TODO: переделать под себя void Solver::Execute_Cubic(double val1, double val2) { int mat_dim = 1 + N * 3; + // Локальная матрица жёсткости + MatrixXd local = MatrixXd::Zero(4, 4); + + // Локальный вектор нагрузки + 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(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(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(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; + + // Формирование локального вектора 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 - Eigen::MatrixXd Amat(mat_dim, mat_dim); + MatrixXd ansamb = MatrixXd::Zero(mat_dim, mat_dim); // Глобальный вектор нагрузок - Eigen::VectorXd b(mat_dim); - Amat.setZero(); - b.setZero(); + VectorXd global_load = VectorXd::Zero(mat_dim); - // Assemble matrix - for (int i = 0; i < mat_dim - 3; i += 3) { - Amat(i, i + 0) -= A * 37.0 / 10.0 / L; - Amat(i, i + 1) -= A * (-189.0) / 40.0 / L; - Amat(i, i + 2) -= A * 27.0 / 20.0 / L; - Amat(i, i + 3) -= A * (-13.0) / 40.0 / L; - Amat(i + 1, i + 0) -= A * (-189.0) / 40.0 / L; - Amat(i + 1, i + 1) -= A * 54.0 / 5.0 / L; - Amat(i + 1, i + 2) -= A * (-297.0) / 40.0 / L; - Amat(i + 1, i + 3) -= A * 27.0 / 20.0 / L; - Amat(i + 2, i + 0) -= A * 27.0 / 20.0 / L; - Amat(i + 2, i + 1) -= A * (-297.0) / 40.0 / L; - Amat(i + 2, i + 2) -= A * 54.0 / 5.0 / L; - Amat(i + 2, i + 3) -= A * (-189.0) / 40.0 / L; - Amat(i + 3, i + 0) -= A * (-13.0) / 40.0 / L; - Amat(i + 3, i + 1) -= A * 27.0 / 20.0 / L; - Amat(i + 3, i + 2) -= A * (-189.0) / 40.0 / L; - Amat(i + 3, i + 3) -= A * 37.0 / 10.0 / L; + // Ансамблирование + for (int elem = 0; elem < N; ++elem) { + int node_i = elem * 3; - Amat(i + 0, i + 0) += B * (-1.0) / 2.0; - Amat(i + 0, i + 1) += B * 57.0 / 80.0; - Amat(i + 0, i + 2) += B * (-3.0) / 10.0; - Amat(i + 0, i + 3) += B * 7.0 / 80.0; - Amat(i + 1, i + 0) += B * (-57.0) / 80.0; - - Amat(i + 1, i + 2) += B * 81.0 / 80.0; - Amat(i + 1, i + 3) += B * (-3.0) / 10; - Amat(i + 2, i + 0) += B * 3.0 / 10.0; - Amat(i + 2, i + 1) += B * (-81.0) / 80.0; - - Amat(i + 2, i + 3) += B * 57.0 / 80.0; - Amat(i + 3, i + 0) += B * (-7.0) / 80.0; - Amat(i + 3, i + 1) += B * 3.0 / 10.0; - Amat(i + 3, i + 2) += B * (-57.0) / 80.0; - Amat(i + 3, i + 3) += B * 1.0 / 2.0; + 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); + } } - // AssembLe vector - for (int i = 0; i < mat_dim - 3; i += 3) { - b(i) -= D * L / 8.0; - b(i + 1) -= D * 3.0 * L / 8.0; - b(i + 2) -= D * 3.0 * L / 8.0; - b(i + 3) -= D * L / 8.0; - } +#if DEBUG + std::cout << std::endl << "Before:" << std::endl; + std::cout << "Ansamb matrix:\n" << ansamb << std::endl; + std::cout << "Ansamb load vector:\n" << global_load << std::endl; +#endif - Amat.row(0).setZero(); - Amat(0, 0) = L / 3.0 + 1; - Amat(0, 1) = -1; - b(0) = 0; + // Граничные условия + double u_right = val2; - Amat.row(mat_dim - 1).setZero(); - Amat(mat_dim - 1, mat_dim - 1) = 1; - b(mat_dim - 1) = val2; + ansamb.row(0).setZero(); + ansamb(0, 0) = L / 3.0 + 1; + ansamb(0, 1) = -1; + global_load(0) = 0; + + ansamb.row(mat_dim - 1).setZero(); + ansamb(mat_dim - 1, mat_dim - 1) = 1; + global_load(mat_dim - 1) = u_right; + +#if DEBUG + std::cout << "\nAfter:" << std::endl; + std::cout << "Modified matrix:\n" << ansamb << std::endl; + std::cout << "Modified load vector:\n" << global_load << std::endl; +#endif // Решение системы - VectorXd solution = Amat.fullPivLu().solve(b); + VectorXd solution = ansamb.fullPivLu().solve(global_load); std::cout << "\nSolution:" << std::endl; std::cout << solution << std::endl; - + std::ofstream file("matrix_cubic_" + std::to_string(N) + ".txt"); for (int i = 0; i < solution.size(); i++) { file << solution(i) << ' '; } file << std::endl; -} \ No newline at end of file +}