考虑长直机翼的几何非线性,采用非定常气动力,根据Hamilton原理推导了长直机翼带外挂系统的气动弹性运动方程.运用伽辽金法进行离散,通过数值模拟研究了系统的颤振特性及响应.结果表明:增加外挂质量,安装在靠近翼尖位置并且位于弹性轴之前约40％半弦长时,颤振临界速度最大;外挂连接刚度的降低,会使颤振临界速度减小.由于几何非线性的影响,系统的响应非常复杂,这里的算例经历了从收敛到单个极限环振动,经拟周期运动进入混沌,再由混沌进入周期3的过程.%Considering the geometric nonlinearity of long straight wings, the aeroelastic equations of long straight wing with store system are established with unsteady aerodynamic. The Galerkin's method is used to discretize the equations. The flutter characteristic and complex responds are analyzed by numerical simulation. The results show that the increase of store mass and combining rigidity can increase flutter critical speed. When the store is located at wingtip and before about 40％ half chord of elastic axis, the flutter critical speed is the largest. Because of the effect of geometric nonlinearity, the responds of the system are very complex. the motion of the system is from convergence to limit-cycle oscillation, then to chaos via quasi-periodical oscillation, shortly to period-3 motion.
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