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

علوم کاربردی و محاسباتی در مکانیک

Article 6, Volume 28, Issue 2 - Serial Number 16, November 2017, Pages 115-142   

Document Type: Original Article

DOI: 10.22067/fum-mech.v28i2.49314

Authors

Mohammad Rezaiee-Pajand^{* 1}; H. Estiri²

¹Univrersity of Pittsburgh

²Ferdowsi University

Abstract

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.

Keywords

.Dynamic relaxation; Finite difference; Damping; Convergence criterion; Bending plate; Large deformations

Supplementary Files

EA-8 Pajand- nahayi.pdf

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