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Numerical simulation on a limit cycle oscillation of a rectangular sheet in three-dimensional flow: influence of vortex element model on post-critical behavior

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Abstract

The flutter of thin elastic plates (sheets) in a fluid flow is an interesting nonlinear problem, as well as an important engineering problem, because the sheets are used in many industrial applications. A detailed understanding of flutter characteristics and sustaining mechanism of limit cycle oscillation (LCO) is important to suppress the flutter. In this study, a nonlinear analysis on a LCO of rectangular sheets in a three-dimensional uniform fluid flow using the nonlinear beam model and vortex-lattice method is performed. The influence of the vortex element model of the vortex-lattice method on the post-critical behavior is investigated in detail. Moreover, fluid–structure interaction simulations are performed using computational fluid dynamics and computational structural dynamics to examine the flow field and pressure distributions acting on a sheet surface in detail. It is found that flow separation around the side edges of a fluttering sheet can affect the post-critical behavior.

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Acknowledgements

The authors warmly thank Associate Prof. Kensuke Hara (Yokohama National University) and Dr. Masakazu Takeda for their helpful comments. Finally, we would like to thank Editage (www.editage.com) for English language editing.

Funding

This work was supported by Aoyama Gakuin University Research Institute grant program for creation of innovative research and the research Grant provided by CAT (Center for Advanced Technology) of Aoyama Gakuin University.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Aoyama Gakuin University, 5-10-1 Fuchinobe, Sagamihara, Kanagawa, Japan

    Keiichi Hiroaki, Yutaka Hayashi & Masahiro Watanabe

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  1. Keiichi Hiroaki
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  2. Yutaka Hayashi
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  3. Masahiro Watanabe
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Contributions

Keiichi Hiroaki contributed to conceptualization, methodology, visualization, investigation, software, validation, writing—original draft; Yutaka Hayashi contributed to visualization, investigation, validation; Masahiro Watanabe contributed to conceptualization, methodology, visualization, investigation, writing——review and editing.

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Correspondence to Keiichi Hiroaki.

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Hiroaki, K., Hayashi, Y. & Watanabe, M. Numerical simulation on a limit cycle oscillation of a rectangular sheet in three-dimensional flow: influence of vortex element model on post-critical behavior. Nonlinear Dyn 106, 2893–2917 (2021). https://doi.org/10.1007/s11071-021-06958-3

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