A three-degree-of-freedom dynamic model of a two-dimensional wing with an external store is considered. The governing equations of the wing/store system are established on quasi-steady aerodynamics. The flutter of the wing with cubic nonlinear stiffness in incompressible flow is studied by using Hopf bifurcation theory and numerical simulation. Furthermore, the effects of the system parameters on the flutter critical velocity are discussed. The results show that there is a sub-critical Hopf bifurcation for the wing/store system and the flutter critical speed will decrease versus increasing of the linear stiffness coefficient.
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郑国勇 杨翊仁. 不可压缩流中机翼外挂系统的分叉分析[J]. 科学技术与工程, 2006, (8): 1018-1021. ZHENG Guoyong, YANG Yiren. Analysis of Bifurcation of an Airfoil with an External Store in Incompressible Flow[J]. Science Technology and Engineering,2006,(8):1018-1021.