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Model Order Reduction of an Elastic Body Under Large Rigid Motion

  • Ashish BhattEmail author
  • Jörg Fehr
  • Bernard Haasdonk
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 126)

Abstract

A parametrized equation of motion in the absolute coordinate formulation is derived for an elastic body with large rigid motion using continuum mechanics. The resulting PDE is then discretized using linear FEM which results in a high dimensional system. Such high dimensional systems are expensive to solve especially in multi-query settings. Therefore, the system is reduced using a reduced order basis and we investigate the error introduced due to the reduction step. Simulations illustrate the efficacy of the procedure for a pendulum example.

Notes

Acknowledgements

The authors gratefully acknowledge the support of DFG grants FE1583/2-1 and HA5821/5-1. The authors are also thankful to Patrick Buchfink and Dennis Grunert for constructive discussions.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.University of Stuttgart, IANSStuttgartGermany
  2. 2.University of Stuttgart, ITMStuttgartGermany

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