#ifndef LINEARSIMULATIONMODEL_HPP #define LINEARSIMULATIONMODEL_HPP //#include "beam.hpp" #include "simulation_structs.hpp" #include "threed_beam_fea.h" #include #include // struct BeamSimulationProperties { // float crossArea; // float I2; // float I3; // float polarInertia; // float G; // // Properties used by fea // float EA; // float EIz; // float EIy; // float GJ; // BeamSimulationProperties(const BeamDimensions &dimensions, // const BeamMaterial &material); //}; // struct NodalForce { // int index; // int dof; // double magnitude; //}; // struct SimulationJob { // Eigen::MatrixX3d nodes; // Eigen::MatrixX2i elements; // Eigen::MatrixX3d elementalNormals; // Eigen::VectorXi fixedNodes; // std::vector nodalForces; // std::vector beamDimensions; // std::vector beamMaterial; //}; // struct SimulationResults { // std::vector edgeForces; ///< Force values per force // component // ///< #force components x #edges // Eigen::MatrixXd // nodalDisplacements; ///< The displacement of each node #nodes x 3 // SimulationResults(const fea::Summary &feaSummary); // SimulationResults() {} //}; class LinearSimulationModel { public: LinearSimulationModel(){ } static std::vector getFeaElements(const std::shared_ptr &job) { const int numberOfEdges = job->pMesh->EN(); std::vector elements(numberOfEdges); for (int edgeIndex = 0; edgeIndex < numberOfEdges; edgeIndex++) { const SimulationMesh::CoordType &evn0 = job->pMesh->edge[edgeIndex].cV(0)->cN(); const SimulationMesh::CoordType &evn1 = job->pMesh->edge[edgeIndex].cV(1)->cN(); const std::vector nAverageVector{(evn0[0] + evn1[0]) / 2, (evn0[1] + evn1[1]) / 2, (evn0[2] + evn1[2]) / 2}; const Element &element = job->pMesh->elements[edgeIndex]; const double E = element.material.youngsModulus; fea::Props feaProperties(E * element.A, E * element.I3, E * element.I2, element.G * element.J, nAverageVector); const int vi0 = job->pMesh->getIndex(job->pMesh->edge[edgeIndex].cV(0)); const int vi1 = job->pMesh->getIndex(job->pMesh->edge[edgeIndex].cV(1)); elements[edgeIndex] = fea::Elem(vi0, vi1, feaProperties); } return elements; } static std::vector getFeaNodes(const std::shared_ptr &job) { const int numberOfNodes = job->pMesh->VN(); std::vector feaNodes(numberOfNodes); for (int vi = 0; vi < numberOfNodes; vi++) { const CoordType &p = job->pMesh->vert[vi].cP(); feaNodes[vi] = fea::Node(p[0], p[1], p[2]); } return feaNodes; } static std::vector getFeaFixedNodes(const std::shared_ptr &job) { std::vector boundaryConditions; boundaryConditions.reserve(job->constrainedVertices.size() * 6 + job->nodalForcedDisplacements.size() * 3); for (auto fixedVertex : job->constrainedVertices) { const int vertexIndex = fixedVertex.first; for (int dofIndex : fixedVertex.second) { boundaryConditions.emplace_back( fea::BC(vertexIndex, static_cast(dofIndex), 0)); } } for (auto forcedDisplacement : job->nodalForcedDisplacements) { const int vi = forcedDisplacement.first; for (int dofIndex = 0; dofIndex < 3; dofIndex++) { boundaryConditions.emplace_back(fea::BC(vi, static_cast(dofIndex), forcedDisplacement.second[dofIndex])); } } return boundaryConditions; } static std::vector getFeaNodalForces(const std::shared_ptr &job) { std::vector nodalForces; nodalForces.reserve(job->nodalExternalForces.size() * 6); for (auto nodalForce : job->nodalExternalForces) { for (int dofIndex = 0; dofIndex < 6; dofIndex++) { if (nodalForce.second[dofIndex] == 0) { continue; } nodalForces.emplace_back( fea::Force(nodalForce.first, dofIndex, nodalForce.second[dofIndex])); } } return nodalForces; } static SimulationResults getResults(const fea::Summary &feaSummary, const std::shared_ptr &simulationJob) { SimulationResults results; results.converged = feaSummary.converged; if (!results.converged) { return results; } results.executionTime = feaSummary.total_time_in_ms * 1000; // displacements results.displacements.resize(feaSummary.num_nodes); results.rotationalDisplacementQuaternion.resize(feaSummary.num_nodes); for (int vi = 0; vi < feaSummary.num_nodes; vi++) { results.displacements[vi] = Vector6d(feaSummary.nodal_displacements[vi]); const Vector6d &nodalDisplacement = results.displacements[vi]; Eigen::Quaternion q_nx; q_nx = Eigen::AngleAxis(nodalDisplacement[3], Eigen::Vector3d(1, 0, 0)); Eigen::Quaternion q_ny; q_ny = Eigen::AngleAxis(nodalDisplacement[4], Eigen::Vector3d(0, 1, 0)); Eigen::Quaternion q_nz; q_nz = Eigen::AngleAxis(nodalDisplacement[5], Eigen::Vector3d(0, 0, 1)); results.rotationalDisplacementQuaternion[vi] = q_nx * q_ny * q_nz; // results.rotationalDisplacementQuaternion[vi] = q_nz * q_ny * q_nx; // results.rotationalDisplacementQuaternion[vi] = q_nz * q_nx * q_ny; } // // Convert forces // // Convert to vector of eigen matrices of the form force component-> per // // Edge // const int numDof = 6; // const size_t numberOfEdges = feaSummary.element_forces.size(); // edgeForces = // std::vector(numDof, Eigen::VectorXd(2 * // numberOfEdges)); // for (gsl::index edgeIndex = 0; edgeIndex < numberOfEdges; edgeIndex++) { // for (gsl::index forceComponentIndex = 0; forceComponentIndex < numDof; // forceComponentIndex++) { // (edgeForces[forceComponentIndex])(2 * edgeIndex) = // feaSummary.element_forces[edgeIndex][forceComponentIndex]; // (edgeForces[forceComponentIndex])(2 * edgeIndex + 1) = // feaSummary.element_forces[edgeIndex][numDof + // forceComponentIndex]; // } // } for (int ei = 0; ei < feaSummary.num_elems; ei++) { const std::vector &elementForces = feaSummary.element_forces[ei]; const Element &element = simulationJob->pMesh->elements[ei]; //Axial const double elementPotentialEnergy_axial_v0 = std::pow(elementForces[0], 2) * element.initialLength / (4 * element.material.youngsModulus * element.A); const double elementPotentialEnergy_axial_v1 = std::pow(elementForces[6], 2) * element.initialLength / (4 * element.material.youngsModulus * element.A); const double elementPotentialEnergy_axial = elementPotentialEnergy_axial_v0 + elementPotentialEnergy_axial_v1; //Shear const double elementPotentialEnergy_shearY_v0 = std::pow(elementForces[1], 2) * element.initialLength / (4 * element.A * element.G); const double elementPotentialEnergy_shearZ_v0 = std::pow(elementForces[2], 2) * element.initialLength / (4 * element.A * element.G); const double elementPotentialEnergy_shearY_v1 = std::pow(elementForces[7], 2) * element.initialLength / (4 * element.A * element.G); const double elementPotentialEnergy_shearZ_v1 = std::pow(elementForces[8], 2) * element.initialLength / (4 * element.A * element.G); const double elementPotentialEnergy_shear = elementPotentialEnergy_shearY_v0 + elementPotentialEnergy_shearZ_v0 + elementPotentialEnergy_shearY_v1 + elementPotentialEnergy_shearZ_v1; //Bending const double elementPotentialEnergy_bendingY_v0 = std::pow(elementForces[4], 2) * element.initialLength / (4 * element.material.youngsModulus * element.I2); const double elementPotentialEnergy_bendingZ_v0 = std::pow(elementForces[5], 2) * element.initialLength / (4 * element.material.youngsModulus * element.I3); const double elementPotentialEnergy_bendingY_v1 = std::pow(elementForces[10], 2) * element.initialLength / (4 * element.material.youngsModulus * element.I2); const double elementPotentialEnergy_bendingZ_v1 = std::pow(elementForces[11], 2) * element.initialLength / (4 * element.material.youngsModulus * element.I3); const double elementPotentialEnergy_bending = elementPotentialEnergy_bendingY_v0 + elementPotentialEnergy_bendingZ_v0 + elementPotentialEnergy_bendingY_v1 + elementPotentialEnergy_bendingZ_v1; //Torsion const double elementPotentialEnergy_torsion_v0 = std::pow(elementForces[3], 2) * element.initialLength / (4 * element.J * element.G); const double elementPotentialEnergy_torsion_v1 = std::pow(elementForces[9], 2) * element.initialLength / (4 * element.J * element.G); const double elementPotentialEnergy_torsion = elementPotentialEnergy_torsion_v0 + elementPotentialEnergy_torsion_v1; const double elementInternalPotentialEnergy = elementPotentialEnergy_axial + elementPotentialEnergy_shear + elementPotentialEnergy_bending + elementPotentialEnergy_torsion; results.internalPotentialEnergy += elementInternalPotentialEnergy; } return results; } SimulationResults executeSimulation(const std::shared_ptr &simulationJob) { assert(simulationJob->pMesh->VN() != 0); fea::Job job(getFeaNodes(simulationJob), getFeaElements(simulationJob)); // printInfo(job); // create the default options fea::Options opts; opts.save_elemental_forces = false; opts.save_nodal_displacements = false; opts.save_nodal_forces = false; opts.save_report = false; opts.save_tie_forces = false; // if (!elementalForcesOutputFilepath.empty()) { // opts.save_elemental_forces = true; // opts.elemental_forces_filename = elementalForcesOutputFilepath; // } // if (!nodalDisplacementsOutputFilepath.empty()) { // opts.save_nodal_displacements = true; // opts.nodal_displacements_filename = nodalDisplacementsOutputFilepath; // } // have the program output status updates opts.verbose = false; // form an empty vector of ties std::vector ties; // also create an empty list of equations std::vector equations; auto fixedVertices = getFeaFixedNodes(simulationJob); auto nodalForces = getFeaNodalForces(simulationJob); fea::Summary feaResults = fea::solve(job, fixedVertices, nodalForces, ties, equations, opts); SimulationResults results = getResults(feaResults, simulationJob); results.job = simulationJob; return results; } // SimulationResults getResults() const; // void setResultsNodalDisplacementCSVFilepath(const std::string // &outputPath); void setResultsElementalForcesCSVFilepath(const std::string // &outputPath); private: // std::string nodalDisplacementsOutputFilepath{"nodal_displacement.csv"}; // std::string elementalForcesOutputFilepath{"elemental_forces.csv"}; // SimulationResults results; static void printInfo(const fea::Job &job) { std::cout << "Details regarding the fea::Job:" << std::endl; std::cout << "Nodes:" << std::endl; for (fea::Node n : job.nodes) { std::cout << n << std::endl; } std::cout << "Elements:" << std::endl; for (Eigen::Vector2i e : job.elems) { std::cout << e << std::endl; } } }; #endif // LINEARSIMULATIONMODEL_HPP