#include <stdio.h>
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Functions | |
double | arclengthrv1 (long lcid, double rlambda, double rlerr) |
the arc-length method which reaches given value of the lambda parameter | |
void | newton_raphsonrv1 (long lcid, double rlambda, double rlerr) |
the Newton-Raphson method which reaches given value of the lambda parameter |
double arclengthrv1 | ( | long | lcid, | |
double | rlambda, | |||
double | rlerr | |||
) |
the arc-length method which reaches given value of the lambda parameter
The function solves system of nonlinear algebraic equations by the arc-length method. This method was modified to reach the given value rlambda of the lambda parameter. Rlambda value is reached with required error rlerr. Only one right hand side vector is supported with respect to nonlinearity and absence of superposition. Up to rlambda value the constant load vector is treated as proportional and then as constant. Proportional vector grows until the nial number of steps is reached.
lcid | - load case id | |
rlambda | - required value of lambda parameter | |
rlerr | - required error between lambda and rlambda |
Created by Tomas Koudelka,
Definition at line 37 of file slopesol.cpp.
References addv(), arclopen(), arclsave(), compute_req_val(), copyv(), displincr(), nonlinman::dlal, nonlinman::dlmaxal, nonlinman::dlminal, nonlinman::erral, f, lhsrhs::give_lhs(), lhsrhs::give_rhs(), Gtm, nonlinman::hdbackupal, internal_forces(), Lsrs, Mespr, Mm, mode, Mp, Ndofm, nonlinman::nial, nonlinman::niilal, probdesc::nlman, normv(), Out, print_flush(), print_step(), nonlinman::psial, quadeqcoeff(), Smat, solv_polynom_2(), slesolv::solve_system(), ss(), probdesc::ssle, stiffness_matrix(), nonlinman::stmat, subv(), tangent_stiff, mechmat::updateipval(), and probdesc::zero.
Referenced by nonlinear_solver().
void newton_raphsonrv1 | ( | long | lcid, | |
double | rlambda, | |||
double | rlerr | |||
) |
the Newton-Raphson method which reaches given value of the lambda parameter
Function solves system of nonlinear algebraic equations by Newton-Raphson method. Solved system does not contain time variable. Required value of the reached load coefficient lambda can be specified.
lcid | - load case id | |
rlambda | - required value of reached load coefficient | |
rlerr | - tolerance for the reached rlambda |
Created by Tomas Koudelka, 16.8.2001
Definition at line 378 of file slopesol.cpp.
References compute_req_val(), nonlinman::divc_err, nonlinman::divc_step, nonlinman::errnr, f, fillm(), fillv(), lhsrhs::give_lhs(), lhsrhs::give_rhs(), Gtm, nonlinman::incrnr, internal_forces(), lsm_quad(), Lsrs, nonlinman::maxincrnr, memset(), Mespr, nonlinman::minincrnr, Mm, Mp, Ndofm, nonlinman::niilnr, nonlinman::ninr, probdesc::nlman, normv(), probdesc::otherstate, Out, print_close(), print_flush(), print_init(), print_step(), Smat, slesolv::solve_system(), probdesc::ssle, stiffness_matrix(), nonlinman::stmat, probdesc::strainstate, probdesc::stressstate, tangent_stiff, mechmat::updateipval(), and probdesc::zero.
Referenced by nonlinear_solver().