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 StykelORCiDGND, Alexander Vasilyev |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-30326 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/3032 |
| Series (Serial Number): | Preprints des Instituts für Mathematik der Universität Augsburg (2015-03) |
| Type: | Preprint |
| Language: | English |
| Date of Publication (online): | 2015/03/16 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2015/03/16 |
| Tag: | mechanical systems; model reduction; moving loads |
| GND-Keyword: | Mathematische Physik; Mechanisches System; Wandernde Last; Mathematisches Modell; Ordnungsreduktion |
| Note: | 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 |
