A TECHNIQUE FOR IMPROVING DYNAMIC RELAXATION METHOD

Dynamic relaxation method is an iterative procedure for solving the simultaneous system of equations. This technique is used in the static and dynamic nonlinear structural analysis. One of the most important parameters in this approach is fictitious damping factor. If this factor is selected more accurately, convergence rate will rise. In this paper, inverse vector iteration method is utilized to find the damping factor in the dynamic relaxation iterations, and a new formulation is proposed. The geometric nonlinear analysis of several plane and space trusses and also structural frames are performed using the suggested method. The numerical results indicate that the convergence rate improves compared with the conventional dynamic relaxation procedure so that the number of iterations and the analysis time decrease significantly. Consequently, the authors' technique makes the solving process faster and more capable.