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On the stable mode selection for efficient component mode synthesis of geometrically nonlinear beams

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Abstract

A large-scale structural system containing a substantial amount of degrees of freedom requires many computations to achieve the optimum of the system. In particular, nonlinear structural analysis compels a recursive calculation in limited computational resources. Thus, a powerful tool, which improves the efficiency of analysis in the limitations, may be required. In structural dynamics, various methods related to model order reduction have been developed in the past decades [1–15]. In addition, several mode selection methods to enhance the rate of reduction have been reported in the Refs. [16–19]. Most of them are focused on dynamic analysis. In this paper, we focus on the nonlinear static response of reduced order model with a proper mode selection criterion. To construct the nonlinear reduced order model, modal derivatives [10–14], which are the quadratic enhancement of modal basis, have been employed. The degrees of freedom used to the model reduction have been selected via the singular value decomposition (SVD). Finally, the performance of the selection scheme for the static problem is verified via numerical examples.

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Acknowledgments

This work was supported by Kumoh National Institute of Technology (2016-104-128).

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Authors and Affiliations

  1. Department of Mechanical System Engineering, Kumoh National Institute of Technology, Gumi, Gyeongbuk, 39177, Korea

    Yong-Min Jeong & Jun-Sik Kim

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  1. Yong-Min Jeong
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  2. Jun-Sik Kim
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Correspondence to Jun-Sik Kim.

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Recommended by Editor Seungjae Min

Yong-Min Jeong received the B.S. and M.S. degrees from Kumoh National Institute of Technology, Korea in 2013 and 2015, respectively. He is currently a Ph.D. candidate in the same institute. His research interests include solid mechanics, composite materials, nonlinear reduced order models, and smart structures.

Jun-Sik Kim received the B.S. and M.S. degrees from Inha University, Korea in 1994 and 1996, respectively, and the Ph.D. degree from the Pennsylvania State University, USA in 2005, all in Aerospace Engineering. In 2009, he joined Kumoh National Institute of Technology, Korea, where he is currently a Professor in the Department of Mechanical system Engineering. His research interests include solid mechanics, computational mechanics, smart structures, and helicopter dynamics.

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Jeong, YM., Kim, JS. On the stable mode selection for efficient component mode synthesis of geometrically nonlinear beams. J Mech Sci Technol 34, 2961–2973 (2020). https://doi.org/10.1007/s12206-020-0628-z

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  • DOI: https://doi.org/10.1007/s12206-020-0628-z

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