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Flexible multibody dynamics using coordinate reduction improved by dynamic correction

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Abstract

This paper is concerned with the efficient dynamic analysis of flexible multibody systems using a robust coordinate reduction technique. Unlike conventional static correction, the formulation is derived by dynamic correction that considers the inertia effect. In this formulation, the constraint and fixed-interface normal modes, which are representative modes in the typical coordinate reduction, are corrected by considering the truncated modal effect with the residual flexibility. Therefore, the proposed method can offer a more precise reduced system without increasing the dimension, which consequently leads to a more accurate and efficient flexible multibody simulation. We implement here the proposed method under augmented formulations of the floating reference frame approach, and test its performance with numerical examples.

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Acknowledgements

The first author has been supported by the Basic Science Research Program and Space Core Technology Development Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (NRF-2015R1C1A1A01051499 and NRF-2015M1A3A3A02047111).

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Authors and Affiliations

  1. Korea Institute of Machinery and Materials, 156, Gajeongbuk-ro, Yuseong-gu, Daejeon, 34103, Republic of Korea

    Jin-Gyun Kim & Hanmin Lee

  2. Delft university of Technology, Stevinweg 1, 2628, CN Delft, The Netherlands

    Jin-Gyun Kim

  3. Chungnam National University, 99, Daehark-ro, Yuseong-gu, Daejeon, 34134, Republic of Korea

    Jong-Boo Han & Sung-Soo Kim

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  1. Jin-Gyun Kim
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  2. Jong-Boo Han
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  3. Hanmin Lee
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  4. Sung-Soo Kim
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Correspondence to Sung-Soo Kim.

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Kim, JG., Han, JB., Lee, H. et al. Flexible multibody dynamics using coordinate reduction improved by dynamic correction. Multibody Syst Dyn 42, 411–429 (2018). https://doi.org/10.1007/s11044-017-9607-2

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