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.
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页码：185 / 202
页数：17
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