SolidBeamUnsteady.cpp File Reference

#include "Oomph/SolidProblem.h"
#include "Math/Helpers.h"

Classes
class	Beam
	Defines a SolidProblem of element type RefineableQDPVDElement<3,2>. Add functionality to write output. More...

Functions
int	main ()

Function Documentation

main()

int main

(

)

Simulates a cubic rod (20mm x 2mm x 2mm) of density 2500 kg/m^3, elastic modulus 100 MPa, fixed on left side, bent by gravity

{
    // Solve the problem
    Beam problem;
    problem.setName("SolidBeamUnsteady");
    problem.setElasticModulus(1e8);
    problem.setDensity(2500);
    problem.setSolidCubicMesh(20, 2, 2, 0, 0.2, 0, 0.02, 0, 0.02);
    problem.pinBoundary(Beam::Boundary::X_MIN);
    problem.setBodyForceAsGravity();
    problem.setNewtonSolverTolerance(3e-8);
    problem.prepareForSolve();
    problem.linear_solver_pt()->disable_doc_time();
    //problem.disable_info_in_newton_solve();
    //set time scale of oscillation
    //https://vlab.amrita.edu/?sub=3&brch=175&sim=1080&cnt=1
    double b = 0.02, d = 0.02, l = 0.2;
    double inertia = b*d*d*d/12;
    double omega = 1.875*1.875*sqrt(problem.getElasticModulus()*inertia/(problem.getDensity()*b*d*std::pow(l,4)));
    double timeScale = 2*constants::pi/omega; //0.06
    // simulate two oscillations, check energy balance
    problem.solveUnsteady(2.0*timeScale, 0.04*timeScale, 10);
    return 0;
}

References b, e(), Eigen::internal::omega(), constants::pi, Eigen::bfloat16_impl::pow(), problem, sqrt(), and Global_Physical_Variables::timeScale.