Timestep Selection for Dynamic Relaxation Method

Abstract

This paper focuses on the dynamic relaxation (DR) method as an efficient approach for solving a system of simultaneous equations. This is an iterative procedure which can be used for both finite element and finite difference structural analysis. The DR method has a simple algorithm. However, it suffers from low convergence rate. In the current study, a residual energy minimizer timestep (REMT) will be formulated by minimizing the residual energy. A variety of structural analyses with linear and nonlinear (elastic large deflection) behaviors demonstrate the potential of the proposed strategy. The results indicate that the REMT improves the convergence rate of DR without any additional constraints so that the cost and computational time are decreased.