多体系统动力学微分/代数方程约束误差小扰动自我稳定方法

赵维加; 潘振宽; 王艺兵

多体系统动力学微分/代数方程约束误差小扰动自我稳定方法

青岛大学, 青岛 266071

基金项目: 国家自然科学基金(19902006);山东省自然科学基金(Y97F06152)

详细信息

作者简介:
赵维加(1955~ ),硕士,副教授.潘振宽(1966~ ),博士,教授.

中图分类号: O313
计量
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- 被引次数: 0
出版历程
- 收稿日期: 1997-12-21
- 修回日期: 1999-10-30
- 刊出日期: 2000-01-15

An Automatic Constraint Violation Stabilization Method for Differential/Algebraic Equations of Motion Multibody System Dynamics

Qingdao University, Qingdao 266071, P R China

摘要

摘要: 多体系统动力学微分/代数混合方程组又称为Euler-Lagrange方程.其数值积分的困难之一是由违约引起的数值不稳定.基于对约束方程左部的Tylor展开,根据积分步长提出了一种能对约束误差自动修正的小扰动违约稳定方法.该方法大大改善了传统违约修正法的数值性态,并具有简单、实用、高效的特点.最后对该方法与传统增广方法及其违约修正方法进行了数值比较.
- 多体力学 /
- Euler-Lagrange方程 /
- 违约修正 /
- 数值稳定性
Abstract: A new automatic constraint violation stabilization method for numerical integration of Euler-Lagrange equations of motion in dynamics of multibody systems is presented.The parameters α,β used in the traditional constraint violation stabilization method are determined according to the integration time step size and Taylor expansion method automatically.The direct integration method,the traditional constraint violation stabilization method and the new method presented in this paper are compared finally.
- dynamics of multibody systems /
- Euler-Lagrange equations /
- constraint violation stabilization /

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参考文献(14)

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