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

  • We consider model order reduction of mechanical systems with moving loads. Such systems have a time-varying input matrix that makes it difficult the direct application of standard model reduction methods. 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.

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Author:Tatjana StykelGND, Alexander Vasilyev
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/3032
Series (Serial Number):Preprints des Instituts für Mathematik der Universität Augsburg (2015-03)
Publishing Institution:Universität Augsburg
Release Date:2015/03/16
Tag:mechanical systems; moving loads; model reduction
GND-Keyword:Mathematische Physik; Mechanisches System; Wandernde Last; Mathematisches Modell; Ordnungsreduktion
Erschienen in: J. Comput. Appl. Math., 297, 2016, pp. 85-97, https://doi.org/10.1016/j.cam.2015.11.014
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Numerische Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):Deutsches Urheberrecht mit Print on Demand