Convergence of the generalized-α scheme for constrained mechanical systems

被引：0

作者：

Martin Arnold

Olivier Brüls

机构：

[1] Martin Luther University Halle–Wittenberg,NWF III—Institute of Mathematics

[2] University of Liège,Department of Aerospace and Mechanical Engineering

来源：

Multibody System Dynamics | 2007年 / 18卷

关键词：

DAEs; Generalized-; method;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A variant of the generalized-α scheme is proposed for constrained mechanical systems represented by index-3 DAEs. Based on the analogy with linear multistep methods, an elegant convergence analysis is developed for this algorithm. Second-order convergence is demonstrated both for the generalized coordinates and the Lagrange multipliers, and those theoretical results are illustrated by numerical tests.

引用

页码：185 / 202

页数：17

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