Numerical methods for multibody systems

Numerical methods for multibody systems
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多体系统的数值方法

DOI:
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发表时间:
1994
期刊:
影响因子:
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通讯作者:
M. Nasser
M. Nasser
中科院分区:
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文献类型:
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作者:
R. Glowinski;M. Nasser

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本文简要总结了Nasser关于多体动力学不等式问题建模与仿真的一些结果。特别地,本文讨论的增广拉格朗日方法被应用于具有脉冲不等式约束的约束运动问题。多体动力学问题的一个基本特征是其拉格朗日量缺乏全局凸性。通过局部化(分段线性化)将问题转化为凸分析问题,其中增广拉格朗日量已被成功地使用。模型试验问题被认为是一组数值试验。
This article gives a brief summary of some results obtained by Nasser on modeling and simulation of inequality problems in multibody dynamics. In particular, the augmented Lagrangian method discussed here is applied to a constrained motion problem with impulsive inequality constraints. A fundamental characteristic of the multibody dynamics problem is the lack of global convexity of its Lagrangian. The problem is transformed into a convex analysis problem by localization (piecewise linearization), where the augmented Lagrangian has been successfully used. A model test problem is considered and a set of numerical experiments is presented.