DQFEM analyses of static and dynamic nonlinear elastic-plastic problems using a GSR-based accelerated constant stiffness equilibrium iteration technique

An integrated numerical technique for static and dynamic nonlinear structur al problems adopting the equilibrium iteration is proposed. The differentia l quadrature finite element method (DQFEM), which uses the differential qua drature (DQ) techniques to the finite element discretization, is used to an alyze the static, and dynamic nonlinear structural mechanics problems. Nume rical time integration in conjunction with the use of equilibrium iteration is used to update the response history. The equilibrium iteration can be c arried out by the accelerated iteration schemes. The global secant relaxati on-based accelerated constant stiffness and diagonal stiffness-based predic tor-corrector equilibrium iterations which are efficient and reliable are u sed for the numerical computations. Sample problems are analyzed. Numerical results demonstrate the algorithm.