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  • 标题:Improvement of Krylov-Subspace-Reduced Models by Iterative Mode-Truncation
  • 本地全文:下载
  • 作者:Claudius Lein ; Michael Beitelschmidt ; David Bernstein
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2015
  • 卷号:48
  • 期号:1
  • 页码:178-183
  • DOI:10.1016/j.ifacol.2015.05.030
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractModel order reduction techniques are well established in control theory and likewise in structural mechanics, e.g. when dealing with Elastic Multi-Body-Systems. Apart from the reduction method used, the objective lies in finding a minimal reliable model dimension with desired quality. Extensive research has been conducted concerning Krylov-subspace methods. Rational Krylov-subspace methods based on the second-order Arnoldi-algorithm (SOAR) turned out to give promising results. Current investigations are about generating an optimal reduced model by iteratively choosing the expansion points based on a predefined model dimension. Still, the sufficient choice of this initial dimension is uncertain.The novel approach consists of a two-stage strategy and starts with a fairly large reduced model based on a fixed number and distribution of expansion points. By an iterative posttreatment, the dispensable Krylov-modes are truncated. For an efficient and fast calculation, a special reordering scheme for the Krylov-modes is introduced. Numerical experiments at different mechanical models show, that the novel technique is comparatively fast and confidently generates reliable models with a minimal dimension.
  • 关键词:KeywordsModel-Order-Reduction (MOR)Rational Krylov-Subspace-Method (RKSM)Second-Order Arnoldi-Algorithm (SOAR)Minimal ModelIterative TruncationConvergence
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