Reduced order model based on proper orthogonal decomposition for two-dimensional panel flutter

MEI Guan-hua 1, ZHANG Jia-zhong 2, KANG Can 1

Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (23) : 144-151.

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (23) : 144-151.

Reduced order model based on proper orthogonal decomposition for two-dimensional panel flutter

  • MEI Guan-hua 1, ZHANG Jia-zhong 2, KANG Can 1
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Abstract

Here, a reduced order model (ROM) was developed based on Galerkin method and the proper orthogonal decomposition (POD) with higher effectiveness and wholeness for two-dimensional panel flutter. Firstly, the classic Galerkin method, the traditional POD mode extraction method and the ROM construction method for two-dimensional panel flutter were introduced briefly. Then, in order to simplify the process and improve the efficiency, a new method was proposed to extract POD modes and construct ROM in the modal space spanned with Galerkin basis functions, the equivalence of this method to the traditional POD-ROM method was proved. Furthermore, through the POD modal analysis of typical responses of a panel, it was clarified that the POD modes can effectively reflect the most intrinsic characteristics of the system. Finally, a global ROM for the panel flutter was established based on POD modes in the case of a chaotic response of a panel, and it was employed to study the bifurcation behavior and boundaries of the stable region of the system in detail. The calculation results showed that the accuracy of this POD-ROM is very close to that of Galerkin method, its efficiency, however, is highly improved; the proposed method can be extended to construct ROMs for other complicated dynamic systems.

 

Key words

 panel flutter / aeroelasticity / reduced order model (ROM) / proper orthogonal decomposition (POD)

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MEI Guan-hua 1, ZHANG Jia-zhong 2, KANG Can 1. Reduced order model based on proper orthogonal decomposition for two-dimensional panel flutter[J]. Journal of Vibration and Shock, 2017, 36(23): 144-151

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