A new formulation for fictitious mass of the Dynamic Relaxation method with kinetic damping

被引：50

作者：

Alamatian, J. ^{[1
]}

机构：

[1] Islamic Azad Univ, Mashhad Branch, Dept Civil Engn, Mashhad, Iran

来源：

COMPUTERS & STRUCTURES | 2012年 / 90-91卷

关键词：

Dynamic Relaxation; Kinetic damping; Fictitious mass; LARGE DEFLECTION ANALYSIS; NONLINEAR-ANALYSIS; TENSEGRITY STRUCTURES; POSTBUCKLING ANALYSIS; TRUSS STRUCTURES; SECTOR PLATES; DXDR METHOD; FORM; MEMBRANES; ELEMENT;

D O I：

10.1016/j.compstruc.2011.10.010

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper deals with the stability and convergence rate of the kinetic damping process in Dynamic Relaxation (DR) method. Based on running an incremental analysis, a new relationship is presented for fictitious mass of the kinetic DR algorithm. This formulation is also combined with a transformational form of the Gerschgorin circles theory, proposed here. For numerical verification, some structures from the finite element models are analyzed statically and dynamically and results are compared with the well-known viscous and kinetic DR algorithms. These examples clearly show that the proposed fictitious mass considerably increases the convergence rate of the kinetic DR iterations. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：42 / 54

页数：13

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