Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (1): 1-14.doi: https://doi.org/10.1007/s10483-012-1529-x

• Articles •    下一篇

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

郭虎伦 陈予恕   

  1. School of Astronautics, Harbin Institute of Technology, Harbin 150001, P. R. China
  • 收稿日期:2011-06-02 修回日期:2011-09-18 出版日期:2011-12-29 发布日期:2012-01-01

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

 GUO Hu-Lun, CHEN Yu-Shu   

  1. School of Astronautics, Harbin Institute of Technology, Harbin 150001, P. R. China
  • Received:2011-06-02 Revised:2011-09-18 Online:2011-12-29 Published:2012-01-01

摘要: 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.

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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