Model reduction for nonlinear multibody systems based on proper orthogonal- and smooth orthogonal decomposition

Daniel Stadlmayr, Wolfgang Witteveen

Research output: Chapter in Book/Report/Conference proceedingsConference contribution

4 Citations (Scopus)

Abstract

Flexible multibody simulation, subject to holonomic constraints, results in nonlinear differential algebraic systems. As computation time is a major issue, we are interested in applying model order reduction techniques to such multibody systems. One possible method called Proper Orthogonal Decomposition is based on minimizing the displacements’ Euclidian distance while the more recently presented method Smooth Orthogonal Decomposition considers not only displacements but also their time derivatives. After a short introduction to the theory, this contribution presents a comparison of both methods on an index-reduced system. The methods are tested against each other in order to identify advantages and disadvantages.
Original languageEnglish
Title of host publicationDynamic Behavior of Materials
EditorsGaëtan Kerschen
PublisherSpringer
Pages449-457
Number of pages9
ISBN (Print)9783319152202
DOIs
Publication statusPublished - 2016

Publication series

NameConference Proceedings of the Society for Experimental Mechanics Series
Volume1
ISSN (Print)2191-5644
ISSN (Electronic)2191-5652

Keywords

  • Flexible multibody systems
  • Karhunen-Loève
  • Model reduction
  • POD
  • SOD

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