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Dynamic analysis of two-degree-of-freedom airfoil with freeplay and cubic nonlinearities in supersonic flow

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Abstract

The nonlinear aeroelastic response of a two-degree-of-freedom airfoil with freeplay and cubic nonlinearities in supersonic flows is investigated. The second-order piston theory is used to analyze a double-wedge airfoil. Then, the fold bifurcation and the amplitude jump phenomenon are detected by the averaging method and the multi-variable Floquet theory. The analytical results are further verified by numerical simulations. Finally, the influence of the freeplay parameters on the aeroelastic response is analyzed in detail.

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Authors and Affiliations

  1. School of Astronautics, Harbin Institute of Technology, Harbin, 150001, P. R. China

    Hu-lun Guo  (郭虎伦) & Yu-shu Chen  (陈予恕)

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  1. Hu-lun Guo  (郭虎伦)
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  2. Yu-shu Chen  (陈予恕)
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Correspondence to Yu-shu Chen  (陈予恕).

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Contributed by Yu-shu CHEN

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Guo, Hl., Chen, Ys. Dynamic analysis of two-degree-of-freedom airfoil with freeplay and cubic nonlinearities in supersonic flow. Appl. Math. Mech.-Engl. Ed. 33, 1–14 (2012). https://doi.org/10.1007/s10483-012-1529-x

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  • DOI: https://doi.org/10.1007/s10483-012-1529-x

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Chinese Library Classification

2010 Mathematics Subject Classification

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