A two-step model reduction approach for mechanical systems with moving loads

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• 作者：Tatjana Stykel ; ^{stykel@math.uni-augsburg.de" class="auth_mail" title="E-mail the corresponding author} ; Alexander Vasilyev ^{vasilyev@math.uni-augsburg.de" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Mechanical systems ; Moving loads ; Model reduction ; Least-squares approximation
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2016
• 出版时间：1 May 2016
• 年：2016
• 卷：297
• 期：Complete
• 页码：85-97
• 全文大小：919 K

文摘

We consider model order reduction of mechanical systems with moving loads. Such systems have a time-varying input matrix that makes the direct application of standard model reduction methods difficult. In this paper, we present a two-step model reduction approach for systems with moving loads which is based on a low-rank approximation of the input matrix and applying Krylov subspace methods to the resulting linear time-invariant system with a modified input. Numerical results demonstrate the properties of the proposed model reduction method.