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

Dynamic analysis of two-degree-of-freedom airfoil with freeplay and cubic nonlinearities in supersonic flow
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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 analyticall results are further verified by numerical simulations. Finally, the influence of the freeplay parameters on the aeroelastic response is analyzed in detail. 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 analyticall results are further verified by numerical simulations. Finally, the influence of the freeplay parameters on the aeroelastic response is analyzed in detail.
作者 Hu-lun GUO Yu-shu CHEN 郭虎伦;陈予恕(School of Astronautics,Harbin Institute of Technology,Harbin 150001,P.R.China)
机构地区 School of Astronautics
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2012年第1期1-14,共14页 应用数学和力学（英文版）
关键词 freeplay cubic nonlinearity averaging method limit cycle oscillation amplitude jump phenomenon freeplay, cubic nonlinearity, averaging method, limit cycle oscillation amplitude jump phenomenon
分类号 V224 [航空宇航科学与技术—飞行器设计]
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共引文献16

Applied Mathematics and Mechanics(English Edition)
2012年 第1期

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