Code refactoring and addition of elemental forces to the output.
This commit is contained in:
Iason
parent
03f3fe2e52
commit
5789631fdc
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@ -29,104 +29,124 @@
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#include <string>
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namespace fea {
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/**
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* @brief Provides a method for customizing the finite element analysis.
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*/
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struct Options {
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/**
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* @brief Default constructor
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* @details This tries to set up reasonable defaults for analysis. It is
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* recommended that the user read and overwrite the defaults based on the information
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* desired from the analysis.
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*/
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Options() {
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epsilon = 1e-14;
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/**
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* @brief Provides a method for customizing the finite element analysis.
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*/
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struct Options {
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/**
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* @brief Default constructor
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* @details This tries to set up reasonable defaults for analysis. It is
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* recommended that the user read and overwrite the defaults based on the
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* information desired from the analysis.
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*/
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Options() {
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epsilon = 1e-14;
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csv_precision = 14;
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csv_delimiter = ",";
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csv_precision = 14;
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csv_delimiter = ",";
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save_nodal_displacements = false;
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save_nodal_forces = false;
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save_tie_forces = false;
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verbose = false;
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save_report = false;
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save_nodal_displacements = false;
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save_nodal_forces = false;
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save_tie_forces = false;
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verbose = false;
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save_report = false;
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nodal_displacements_filename = "nodal_displacements.csv";
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nodal_forces_filename = "nodal_forces.csv";
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tie_forces_filename = "tie_forces.csv";
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report_filename = "report.txt";
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}
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nodal_displacements_filename = "nodal_displacements.csv";
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nodal_forces_filename = "nodal_forces.csv";
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tie_forces_filename = "tie_forces.csv";
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report_filename = "report.txt";
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}
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/**
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* Values of forces and nodal displacements which have a magnitude less than `epsilon` will be rounded to 0.0.
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* Default = `1e-14`. This is a simple way to deal with machine precision when doing calculations.
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*/
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double epsilon;
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/**
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* Values of forces and nodal displacements which have a magnitude less than
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* `epsilon` will be rounded to 0.0. Default = `1e-14`. This is a simple way
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* to deal with machine precision when doing calculations.
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*/
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double epsilon;
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/**
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* Number of decimal places to use when saving nodal forces and displacements if either
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* `save_nodal_displacements` or `save_nodal_forces` is set to `true`. Default = 14.
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*/
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unsigned int csv_precision;
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/**
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* Number of decimal places to use when saving nodal forces and displacements
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* if either `save_nodal_displacements` or `save_nodal_forces` is set to
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* `true`. Default = 14.
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*/
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unsigned int csv_precision;
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/**
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* Delimiter to use when saving nodal forces and displacements if either
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* `save_nodal_displacements` or `save_nodal_forces` is set to `true`. Default = ",".
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*/
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std::string csv_delimiter;
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/**
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* Delimiter to use when saving nodal forces and displacements if either
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* `save_nodal_displacements` or `save_nodal_forces` is set to `true`. Default
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* = ",".
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*/
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std::string csv_delimiter;
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/**
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* Specifies if the nodal displacements should be saved to a file. Default = `false`.
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* If `true` the nodal displacements will be saved to the file indicated by `nodal_displacements_filename`.
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*/
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bool save_nodal_displacements;
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/**
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* Specifies if the nodal displacements should be saved to a file. Default =
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* `false`. If `true` the nodal displacements will be saved to the file
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* indicated by `nodal_displacements_filename`.
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*/
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bool save_nodal_displacements;
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/**
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* Specifies if the nodal forces should be saved to a file. Default = `false`.
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* If `true` the nodal forces will be saved to the file indicated by `nodal_forces_filename`.
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*/
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bool save_nodal_forces;
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/**
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* Specifies if the nodal forces should be saved to a file. Default = `false`.
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* If `true` the nodal forces will be saved to the file indicated by
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* `nodal_forces_filename`.
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*/
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bool save_nodal_forces;
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/**
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* Specifies if the forces associated with tie elements should be saved to a file. Default = `false`.
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* If `true` the tie forces will be saved to the file indicated by `tie_forces_filename`.
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*/
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bool save_tie_forces;
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/**
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* Specifies if the elemental forces should be saved to a file. Default =
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* `false`. If `true` the elemental forces will be saved to the file indicated
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* by `elemental_forces_filename`.
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*/
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bool save_elemental_forces;
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/**
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* Specifies if progress of the analysis should be written to std::cout. Default = `false`.
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* If `true` information on current step and time taken per step will be reported.
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*/
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bool verbose;
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/**
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* Specifies if the forces associated with tie elements should be saved to a
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* file. Default = `false`. If `true` the tie forces will be saved to the file
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* indicated by `tie_forces_filename`.
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*/
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bool save_tie_forces;
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/**
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* Specifies if a text file should be written detailing information on the analysis. Default = `false`.
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* If `true` the a report will be saved to the file indicated by `report_filename`.
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*/
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bool save_report;
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/**
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* Specifies if progress of the analysis should be written to std::cout.
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* Default = `false`. If `true` information on current step and time taken per
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* step will be reported.
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*/
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bool verbose;
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/**
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* File name to save the nodal displacements to when `save_nodal_displacements == true`.
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*/
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std::string nodal_displacements_filename;
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/**
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* Specifies if a text file should be written detailing information on the
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* analysis. Default = `false`. If `true` the a report will be saved to the
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* file indicated by `report_filename`.
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*/
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bool save_report;
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/**
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* File name to save the nodal forces to when `save_nodal_forces == true`.
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*/
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std::string nodal_forces_filename;
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/**
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* File name to save the nodal displacements to when `save_nodal_displacements
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* == true`.
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*/
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std::string nodal_displacements_filename;
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/**
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* File name to save the nodal forces to when `save_tie_forces == true`.
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*/
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std::string tie_forces_filename;
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/**
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* File name to save the nodal forces to when `save_nodal_forces == true`.
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*/
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std::string nodal_forces_filename;
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/**
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* File name to save the nodal forces to when `save_report == true`.
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*/
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std::string report_filename;
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/**
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* File name to save the nodal forces to when `save_nodal_forces == true`.
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*/
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std::string elemental_forces_filename;
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};
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/**
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* File name to save the nodal forces to when `save_tie_forces == true`.
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*/
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std::string tie_forces_filename;
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/**
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* File name to save the nodal forces to when `save_report == true`.
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*/
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std::string report_filename;
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};
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} // namespace fea
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#endif //THREEDBEAMFEA_OPTIONS_H
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#endif // THREEDBEAMFEA_OPTIONS_H
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@ -75,6 +75,11 @@ typedef Eigen::Matrix<double, Eigen::Dynamic, 1> ForceVector;
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*/
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typedef Eigen::SparseMatrix<double> SparseMat;
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/**
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* A 3x3 rotation matrix.
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*/
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using RotationMatrix = Eigen::Matrix<double, 3, 3, Eigen::RowMajor>;
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/**
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* @brief Calculates the distance between 2 nodes.
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* @details Calculates the original Euclidean distance between 2 nodes in the
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@ -143,7 +148,7 @@ public:
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* @param[in] ny `Eigen::Matrix3d`. Unit normal vector in global space
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* parallel to the beam element's local y-direction.
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*/
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void calcAelem(const Eigen::Vector3d &nx, const Eigen::Vector3d &nz);
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void calcAelem(const RotationMatrix &r);
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/**
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* @brief Returns the currently stored elemental stiffness matrix.
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@ -35,6 +35,8 @@
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#include "threed_beam_fea.h"
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#define DEBUG
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namespace fea {
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namespace {
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@ -126,14 +128,17 @@ void GlobalStiffAssembler::calcKelem(unsigned int i, const Job &job) {
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Klocal(11, 11) = 4.0 * tmp1z;
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// calculate unit normal vector along local x-direction
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Eigen::Vector3d nx = job.nodes[nn2] - job.nodes[nn1];
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nx.normalize();
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const Eigen::Vector3d nx = (job.nodes[nn2] - job.nodes[nn1]).normalized();
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// calculate unit normal vector along y-direction
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const Eigen::Vector3d ny = job.props[i].normal_vec.normalized();
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// calculate the unit normal vector in local z direction
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const Eigen::Vector3d nz = nx.cross(ny).normalized();
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RotationMatrix r;
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r.row(0) = nx;
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r.row(1) = ny;
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r.row(2) = nz;
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// update rotation matrices
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calcAelem(nx, ny);
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calcAelem(r);
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AelemT = Aelem.transpose();
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std::ofstream KlocalFile("Klocal.csv");
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@ -159,102 +164,12 @@ void GlobalStiffAssembler::calcKelem(unsigned int i, const Job &job) {
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perElemKlocalAelem[i] = KlocalAelem;
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};
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void GlobalStiffAssembler::calcAelem(const Eigen::Vector3d &nx,
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const Eigen::Vector3d &ny) {
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// calculate the unit normal vector in local z direction
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Eigen::Vector3d nz;
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nz = nx.cross(ny).normalized();
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void GlobalStiffAssembler::calcAelem(const RotationMatrix &r) {
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// update rotation matrix
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Aelem(0, 0) = nx(0);
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Aelem(0, 1) = nx(1);
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Aelem(0, 2) = nx(2);
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Aelem(1, 0) = ny(0);
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Aelem(1, 1) = ny(1);
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Aelem(1, 2) = ny(2);
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Aelem(2, 0) = nz(0);
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Aelem(2, 1) = nz(1);
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Aelem(2, 2) = nz(2);
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Aelem(3, 3) = nx(0);
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Aelem(3, 4) = nx(1);
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Aelem(3, 5) = nx(2);
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Aelem(4, 3) = ny(0);
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Aelem(4, 4) = ny(1);
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Aelem(4, 5) = ny(2);
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Aelem(5, 3) = nz(0);
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Aelem(5, 4) = nz(1);
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Aelem(5, 5) = nz(2);
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Aelem(6, 6) = nx(0);
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Aelem(6, 7) = nx(1);
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Aelem(6, 8) = nx(2);
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Aelem(7, 6) = ny(0);
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Aelem(7, 7) = ny(1);
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Aelem(7, 8) = ny(2);
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Aelem(8, 6) = nz(0);
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Aelem(8, 7) = nz(1);
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Aelem(8, 8) = nz(2);
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Aelem(9, 9) = nx(0);
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Aelem(9, 10) = nx(1);
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Aelem(9, 11) = nx(2);
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Aelem(10, 9) = ny(0);
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Aelem(10, 10) = ny(1);
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Aelem(10, 11) = ny(2);
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Aelem(11, 9) = nz(0);
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Aelem(11, 10) = nz(1);
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Aelem(11, 11) = nz(2);
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// std::ofstream AelemFile("Aelem.csv");
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// if (AelemFile.is_open()) {
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// const static Eigen::IOFormat CSVFormat(Eigen::StreamPrecision,
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// Eigen::DontAlignCols, ", ",
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// "\n");
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// AelemFile << Aelem.format(CSVFormat) << '\n';
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// AelemFile.close();
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// }
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// update transposed rotation matrix
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AelemT(0, 0) = nx(0);
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AelemT(0, 1) = ny(0);
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AelemT(0, 2) = nz(0);
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AelemT(1, 0) = nx(1);
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AelemT(1, 1) = ny(1);
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AelemT(1, 2) = nz(1);
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AelemT(2, 0) = nx(2);
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AelemT(2, 1) = ny(2);
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AelemT(2, 2) = nz(2);
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AelemT(3, 3) = nx(0);
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AelemT(3, 4) = ny(0);
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AelemT(3, 5) = nz(0);
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AelemT(4, 3) = nx(1);
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AelemT(4, 4) = ny(1);
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AelemT(4, 5) = nz(1);
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AelemT(5, 3) = nx(2);
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AelemT(5, 4) = ny(2);
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AelemT(5, 5) = nz(2);
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AelemT(6, 6) = nx(0);
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AelemT(6, 7) = ny(0);
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AelemT(6, 8) = nz(0);
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AelemT(7, 6) = nx(1);
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AelemT(7, 7) = ny(1);
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AelemT(7, 8) = nz(1);
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AelemT(8, 6) = nx(2);
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AelemT(8, 7) = ny(2);
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AelemT(8, 8) = nz(2);
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AelemT(9, 9) = nx(0);
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AelemT(9, 10) = ny(0);
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AelemT(9, 11) = nz(0);
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AelemT(10, 9) = nx(1);
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AelemT(10, 10) = ny(1);
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AelemT(10, 11) = nz(1);
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AelemT(11, 9) = nx(2);
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AelemT(11, 10) = ny(2);
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AelemT(11, 11) = nz(2);
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Aelem.block<3, 3>(0, 0) = r;
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Aelem.block<3, 3>(3, 3) = r;
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Aelem.block<3, 3>(6, 6) = r;
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Aelem.block<3, 3>(9, 9) = r;
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}
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std::vector<LocalMatrix> GlobalStiffAssembler::getPerElemKlocalAelem() const {
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@ -475,6 +390,7 @@ Summary solve(const Job &job, const std::vector<BC> &BCs,
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<< " ms.\nNow preprocessing factorization..." << std::endl;
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unsigned int numberOfDoF = DOF::NUM_DOFS * job.nodes.size();
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#ifdef DEBUG
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Eigen::MatrixXd KgNoBCDense(Kg.block(0, 0, numberOfDoF, numberOfDoF));
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std::ofstream kgNoBCFile("KgNoBC.csv");
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if (kgNoBCFile.is_open()) {
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@ -483,8 +399,8 @@ Summary solve(const Job &job, const std::vector<BC> &BCs,
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kgNoBCFile << KgNoBCDense.format(CSVFormat) << '\n';
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kgNoBCFile.close();
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}
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std::cout << KgNoBCDense << std::endl;
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// std::cout << KgNoBCDense << std::endl;
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#endif
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// load prescribed boundary conditions into stiffness matrix and force vector
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loadBCs(Kg, force_vec, BCs, job.nodes.size());
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@ -496,14 +412,16 @@ Summary solve(const Job &job, const std::vector<BC> &BCs,
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if (forces.size() > 0) {
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loadForces(force_vec, forces);
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}
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#ifdef DEBUG
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Eigen::MatrixXd KgDense(Kg);
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std::cout << KgDense << std::endl;
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// std::cout << KgDense << std::endl;
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Eigen::VectorXd forcesVectorDense(force_vec);
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std::cout << forcesVectorDense << std::endl;
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// std::cout << forcesVectorDense << std::endl;
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#endif
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// compress global stiffness matrix since all non-zero values have been added.
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Kg.prune(1.e-14);
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Kg.makeCompressed();
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#ifdef DEBUG
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std::ofstream kgFile("Kg.csv");
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if (kgFile.is_open()) {
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const static Eigen::IOFormat CSVFormat(Eigen::StreamPrecision,
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@ -518,9 +436,7 @@ Summary solve(const Job &job, const std::vector<BC> &BCs,
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forcesFile << forcesVectorDense.format(CSVFormat) << '\n';
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forcesFile.close();
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}
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Eigen::FullPivLU<Eigen::MatrixXd> lu(Kg);
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// assert(lu.isInvertible());
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#endif
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// initialize solver based on whether MKL should be used
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#ifdef EIGEN_USE_MKL_ALL
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Eigen::PardisoLU<SparseMat> solver;
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@ -636,6 +552,8 @@ Summary solve(const Job &job, const std::vector<BC> &BCs,
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CSVParser csv;
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start_time = std::chrono::high_resolution_clock::now();
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if (options.save_nodal_displacements) {
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std::cout << "Writing to:" + options.nodal_displacements_filename
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<< std::endl;
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csv.write(options.nodal_displacements_filename, disp_vec,
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options.csv_precision, options.csv_delimiter);
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}
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@ -701,17 +619,23 @@ Summary solve(const Job &job, const std::vector<BC> &BCs,
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perElemKlocalAelem[elemIndex] * elemDisps;
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for (int dofIndex = 0; dofIndex < DOF::NUM_DOFS; dofIndex++) {
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summary.element_forces[elemIndex][static_cast<size_t>(dofIndex)] =
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elemForces(dofIndex);
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-elemForces(dofIndex);
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}
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// meaning of sign = reference to first node:
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// + = compression for axial, - traction
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for (int dofIndex = DOF::NUM_DOFS; dofIndex < 2 * DOF::NUM_DOFS;
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dofIndex++) {
|
||||
summary.element_forces[elemIndex][static_cast<size_t>(dofIndex)] =
|
||||
//-elemForces(dofIndex);
|
||||
+elemForces(dofIndex);
|
||||
}
|
||||
}
|
||||
|
||||
if (options.save_elemental_forces) {
|
||||
std::cout << "Writing to:" + options.elemental_forces_filename << std::endl;
|
||||
csv.write(options.elemental_forces_filename, summary.element_forces,
|
||||
options.csv_precision, options.csv_delimiter);
|
||||
}
|
||||
|
||||
return summary;
|
||||
};
|
||||
|
||||
|
|
|
|||
Loading…
Reference in New Issue