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Contact Modelling in Multibody Systems by Means of a Boundary Element Co-simulation and a Dirichlet-to-Neumann Algorithm

  • Chapter
Multibody Dynamics

Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 28))

Abstract

The present contribution introduces the modelling of elastic contacts by coupled multibody an boundary element systems. Compared to contacts modelled by impact laws, physically more accurate results can be obtained. Due to the use of boundary element systems, the contact stresses are obtained within the contact calculation.

A new three-dimensional contact element for boundary element systems is developed. The mortar element uses the mixed formulation of boundary element formulations. The algorithm for the iteration of contact states is based on an Dirichlet-to-Neumann algorithm. Herein, both contacting bodies are calculated serially. In the first calculation step one of the contacting bodies represents a rigid obstacle for the other elastic one. The resulting reaction forces on the elastic body are partially transferred on the other one, which is for the second calculation step no longer rigid. As a result, the obstacle is deformed and the next iteration starts. The algorithm converges if the numerical equilibrium in the contact interface is reached.

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Acknowledgements

Thanks to Prof. Klaus Schittkowski from the University of Bayreuth for providing the source code of quadratic programming.

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Authors and Affiliations

  1. W2E Wind to Energy GmbH, Strandstrasse 96, Rostock, Germany

    János Zierath

  2. Chair of Technical Dynamics, University of Rostock, Justus-von-Liebig-Weg 6, Rostock, Germany

    Christoph Woernle

Authors
  1. János Zierath
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  2. Christoph Woernle
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Correspondence to János Zierath .

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Editors and Affiliations

  1. Institute for Mechanics, Materials and Civil Engineering, Universite catholique de Louvain (UCL), Place du Levant 2, Louvain-la-Neuve, 1348, Belgium

    Jean-Claude Samin

  2. Institute for Mechanics, Materials and Civil Engineering, Universite catholique de Louvain (UCL), Place du Levant 2, Louvain-la-Neuve, 1348, Belgium

    Paul Fisette

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Zierath, J., Woernle, C. (2013). Contact Modelling in Multibody Systems by Means of a Boundary Element Co-simulation and a Dirichlet-to-Neumann Algorithm. In: Samin, JC., Fisette, P. (eds) Multibody Dynamics. Computational Methods in Applied Sciences, vol 28. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5404-1_2

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  • DOI: https://doi.org/10.1007/978-94-007-5404-1_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-5403-4

  • Online ISBN: 978-94-007-5404-1

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