三维壁板气动弹性颤振研究的微分求积方法

考虑几何非线性，采用活塞理论计算气动力，基于VonKarman薄板理论和线弹性应力应变关系，建立了三维薄板气动弹性微分方程，采用一种全新的方法即微分求积方法对方程进行了离散，并建立了气动弹性微分方程的微分求积格式，采用Lyapunov间接法确定了系统颤振边界，并分析了系统参数对颤振边界的影响，最后采用数值方法分析了各种系统参数对壁板颤振幅值的影响，得到了一些有意义的结果。

Aeroelastic flutter analysis of three dimensional panel by differential quadrature method

Considering geometric nonlinear, Based on the VonKarman’s nonlinear panel theory and elastic relation of stress and strain, the aeroelastic equation of three thin panel is structed where the aerodynamic load is calculated applying piston theory. A new method called differential quadrature method (DQM) is applied to deal with the equation, and the DQM format of the aeroelastic differential equation is established. The systemic flutter boundary is determined using Lyapunov indirect method, and the influence of systemic parameters acted on flutter boundary is analysed. Last, the influence of systemic parameters acted on flutter amplitude of panel is studied, some significative results are abtained.