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.
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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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Bhatt, A., Fehr, J., Haasdonk, B. (2019). Model Order Reduction of an Elastic Body Under Large Rigid Motion. In: Radu, F., Kumar, K., Berre, I., Nordbotten, J., Pop, I. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2017. ENUMATH 2017. Lecture Notes in Computational Science and Engineering, vol 126. Springer, Cham. https://doi.org/10.1007/978-3-319-96415-7_23
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DOI: https://doi.org/10.1007/978-3-319-96415-7_23
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