Variable Damping in Geometric Nonlinear Plate Bending Analysis using Dynamic Relaxation Method

The main purpose of this paper is the nonlinear analysis of bending plates with the finite difference. Based on the variable damping, the dynamic relaxation technique will be utilized. In order to achieve proper convergence, the velocity, kinetic energy and two successive displacement ratio criteria are used. For various bending plate samples, the results of constant and variable damping are compared. Numerical examples show that the variable damping is better than the constant damping. However, author's scheme reduces the number of iterations and the time duration. The finite difference method is very sensitive to the choice of some factors. A slight change in the amount of these parameters will increase the number of iterations and the time duration. Moreover, sometimes the solution procedure is divergenced. Another goal of this article is presenting a brief review of the dynamic relaxation approach in solving the bending plates.