气弹耦合作用下平板的稳定性

为了探讨气弹耦合作用下二维平板中存在的稳定性问题及失稳参数域，针对一侧来流二维平板模型，运用正规形理论和中心流形方法简化方程，分析预载荷和气压强与系统失稳关系，并研究系统在退化点附近具有余维三时的分岔及稳定性，给出二维板系统具有静止、颤振等运动形态的参数条件。结果表明：系统在具有两个零特征值的退化点附近，局部范围内会出现极限环和不稳定结点；系统具有零特征值失稳时，预载荷和气压强系数的取值范围为-2．0--1．5和60～100，预载荷与气压强在此类失稳情况下成正比关系。该研究对于工程预防失稳、保障结构安全具有一定参考价值。

Stabbility of aeroelastic coupling panel

This paper aims at exploring the stability and instability parameter domain occurring in two-dimensional panel due to the action of aeroelastic coupling. This exploration focused on the side of plane involves simplifying equation by applying the formal theory and center manifold theory method, ana- lyzing the relationship among the preload and gas pressure and instability in the system, investigating the bifurcation and stability near the degenerate point on the three co-dimensions, and producing the para- metrical conditions of motion forms, such as static and flutter ones. The results show that ： there occur the limit cycles and unstable-node of system near degenerate point with two zero eigenvalues, or rather in the local range in the system ; if exposed to instability with Zero eigenvalues, the system tends to generate the pre load and pressure coefficient with a range value of roughly - 2.0 - - 1.5 and 60 - 100 ; in such case of instability, there arises direct proportional relationship between preload and pressure. The study may contribute to preventing engineering instability and ensuring structure safety.