A two-step approach for model reduction in flexible multibody dynamics

被引：5
作者：
Michael Lehner
Peter Eberhard
机构：
[1] University of Stuttgart,Institute of Engineering and Computational Mechanics
来源：
Multibody System Dynamics | 2007年 / 17卷
关键词：
Flexible multibody systems; Model reduction; Gramian matrix; Krylov-subspaces; Large-scale systems;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this work, a two-step approach for model reduction in flexible multibody dynamics is proposed. This technique is a combination of the Krylov-subspace method and a Gramian matrix based reduction approach that is particularly suited if a small reduced-order model of a system charged with many force-inputs has to be generated. The proposed methodology can be implemented efficiently using sparse matrix techniques and is therefore applicable to large-scale systems too. By a numerical example, it is demonstrated that the suggested two-step approach has very good approximation capabilities in the time as well as in the frequency domain and can help to reduce the computation time of a numerical simulation significantly.
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收藏
页码：157 / 176
页数：19
相关论文
共 45 条
  • [1] Bai Z.(2002)Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems Appl. Numer. Math. 43 9-44
  • [2] Bai Z.(2005)Dimension reduction of second-order dynamical systems via a second-order Arnoldi method SIAM J. Sci. Comput. 26 1692-1709
  • [3] Su Y.(1987)Model reduction using a projection formulation Int. J. Control 46 2141-2169
  • [4] de Villemagne C.(2000)Krylov-subspace methods for reduced-order modeling in circuit simulation J. Comput. Appl. Math. 123 395-421
  • [5] Skelton R.E.(2003)Model reduction methods based on Krylov subspaces Acta Numer. 12 267-319
  • [6] Freund R.W.(1991)A method for selecting deformation modes in flexible multibody dynamics Int. J. Numerical Methods Eng. 32 1637-1655
  • [7] Freund R.W.(2004)Sylvester equations and projection-based model reduction J. Comput. Appl. Math. 162 213-229
  • [8] Friberg O.(1990)Model reduction in limited time and frequency intervals Int. J. Syst. Sci. 21 349-376
  • [9] Gallivan K.(1984)All optimal Hankel-norm approximations of linear multivariable systems and their L∞-error bounds Int. J. Control 39 1115-1193
  • [10] Vandendorpe A.(1993)Model reduction methods for dynamic analysis of large structures Comput. Struct. 47 735-749
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