Quadratic manifolds for reduced-order modelling of highly flexible multibody systems

Long Wu, Paolo Tiso, Shobhit Jain, Fred Van Keulen

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

2 Citations (Scopus)

Abstract

The Floating Frame of Reference (FFR) provides a natural framework for the Model Order Reduction (MOR) of flexible multibody systems. The classical reduction carried out by a Galerkin projection on a reduced basis of Vibration Modes (VMs), however, is not applicable when the elastic deformations become finite. In this contribution, we present a MOR technique based on a quadratic manifold on which the reduced solution lives. The manifold is build by an expansion of the elastic displacements for each flexible body. The quadratic terms are formed by Modal Derivatives (MDs) that properly account for the effect of the geometric nonlinearity. As opposed to classical Galerkin projection for geometrically nonlinear systems, this approach minimizes the size of the reduced order model, at the price of a more complex nonlinear system.

Original languageEnglish
Title of host publicationProceedings of the ECCOMAS Thematic Conference on Multibody Dynamics 2015
EditorsJ.M. Font-Llagunes
Place of PublicationBarcelona, Spain
PublisherInternational Center for Numerical Methods in Engineering
Pages422-430
ISBN (Electronic)9788494424403
Publication statusPublished - 2015
Event2015 ECCOMAS Thematic Conference on Multibody Dynamics, Multibody Dynamics 2015 - Barcelona, Spain
Duration: 29 Jun 20152 Jul 2015

Conference

Conference2015 ECCOMAS Thematic Conference on Multibody Dynamics, Multibody Dynamics 2015
CountrySpain
CityBarcelona
Period29/06/152/07/15

Keywords

  • Floating Frame of Reference
  • Modal derivatives
  • Model Order Reduction
  • Quadratic manifold

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