Dynamic nonlinear elastic-plastic material failual failure analysis by the differential quadradture finite element method and a global secant relaxation-based accelerated ocnstant stiffness equilibrium iteration technique

摘要

Integrated numericla techniqe for static and dynamic non-linear structural problems adoptin the equilibrium iteration is proposed.The differential quadrature finite element mehtod (DQFEM) with uses the differential quadrature (DQ) techniques to the finite element discretizztion is used to analyze the static and dynaic nonlinear structural mechanics problems.Numerical time integraiton in ocnjunction iwth the use of equiblibrum iteration is used to update the respoense history.The equilibrium iteration cna be carried out by the accelerated iteratinn schemes.The global secant relaxation-based acelerated constant stiffness and diagonal stiffness-based predictor-corrector equilibruim iteraitons which are effiicebnt and reliablke are used for the numericla ocmputations.Sample problems are analyzed.Numericla results demonstrate the algorithm.