Conserving energy and momentum in nonlinear dynamics: A simple implicit time integration scheme

被引：449

作者：

Bathe, Klaus-Jurgen ^{[1
]}

机构：

[1] MIT, Dept Mech Engn, Cambridge, MA 02139 USA

来源：

COMPUTERS & STRUCTURES | 2007年 / 85卷 / 7-8期

关键词：

nonlinear dynamics; implicit time integration; conservation of momentum and energy; trapezoidal rule; composite scheme;

D O I：

10.1016/j.compstruc.2006.09.004

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We focus on a simple implicit time integration scheme for the transient response solution of structures when large deformations and long time durations are considered. Our aim is to have a practical method of implicit time integration for analyses in which the widely used Newmark time integration procedure is not conserving energy and momentum, and is unstable. The method of time integration discussed in this paper is performing well and is a good candidate for practical analyses. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：437 / 445

页数：9

共 21 条

[1] TRANSIENT SIMULATION OF SILICON DEVICES AND CIRCUITS [J].