Efficient and reliable analysis of structural collapse by using a DQFEM along with a GSR-based accelerated equilibrium iteration procedure

The differential quadrature finite element method which uses the differenti al quadrature techniques to the finite element discretization is used to an alyze the static linear or non-linear elastic-plastic collapse of structura l problems. The incremental loading procedure in conjunction with the use o f equilibrium iteration is used to update the response history. The equilib rium iteration can be carried out by using the global secant relaxation-bas ed accelerated constant stiffness iteration procedure which is efficient an d reliable even the load stage is up to the near collapse level. Sample pro blems are analyzed. Numerical results demonstrate the algorithm. (C) 1999 E lsevier Science Ltd. All rights reserved.