中文摘要：

基于Marguerre曲板理论、von Karman大变形理论和气动力活塞理论建立超音速气流中三维复合材料曲壁板的有限元模型。分析了不同边界条件下复合材料曲壁板的曲率对曲壁板颤振边界特性的影响规律。结果显示：1）当曲率较小时,颤振是由曲壁板前两阶模态耦合产生,颤振临界动压随着曲率的增大而减小;2）当曲率较大时,颤振危险模态会随曲率增大而发生变化,颤振临界动压也会表现出复杂的变化规律;3）曲率较小时,四边固支曲壁板的颤振临界动压高于四边简支曲壁板;4）当曲率较大时,四边简支曲壁板的颤振临界动压可能大于四边固支曲壁板。

英文摘要：

The Marguerre curved plate theroy, the von Karman large deflection theory, and the quasi-steady first order piston theory are adopted in the finite element modeling for three dimensional composite cueved panel in su- personic flow. The principle of virtual work is applied to develop the motion equations of the composite curved panel flutter system. Curved panels with different boundary conditions are considered and the effect of curvature on criti- cal flutter dynamic pressure is calculated. The results show that the critical flutter modes are the first two modes and the critical flutter dynamic pressure decreases with the increasing of curvature when curvature is small. With the in- crease of th the critical panel when e curvature, higher modes coalesce, and the coalescence is characterized by the decrease or increase of dynamic pressure. The clamped curved panel is more aerodynamically stable than the simply supported curvature is small while the later may be more stable when curvature increases.