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A two-step approach for model reduction in flexible multibody dynamics

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Abstract

In this work, a two-step approach for model reduction in flexible multibody dynamics is proposed. This technique is a combination of the Krylov-subspace method and a Gramian matrix based reduction approach that is particularly suited if a small reduced-order model of a system charged with many force-inputs has to be generated. The proposed methodology can be implemented efficiently using sparse matrix techniques and is therefore applicable to large-scale systems too. By a numerical example, it is demonstrated that the suggested two-step approach has very good approximation capabilities in the time as well as in the frequency domain and can help to reduce the computation time of a numerical simulation significantly.

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  1. Institute of Engineering and Computational Mechanics, University of Stuttgart, Pfaffenwaldring 9, 70569, Stuttgart, Germany

    Michael Lehner & Peter Eberhard

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  1. Michael Lehner
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  2. Peter Eberhard
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Correspondence to Peter Eberhard.

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Lehner, M., Eberhard, P. A two-step approach for model reduction in flexible multibody dynamics. Multibody Syst Dyn 17, 157–176 (2007). https://doi.org/10.1007/s11044-007-9039-5

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