【摘要】 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,建立三维薄板气动弹性微分方程,采用一种全新的即微分求积方法对方程进行离散,并建立气动弹性微分方程的微分求积格式,采用Lyapunov间接法确定系统颤振边界,并分析系统参数对颤振边界的影响;采用数值方法分析各种系统参数对壁板颤振幅值的影响,取得有意义的结果。更多还原

【Abstract】 Considering geometric nonlinearity,based on VonKarman’s nonlinear plate theory and linear elastic relation of stress and strain,the aeroelastic dynamic equations of a 3 -dimensional thin panel were built with aerodynamic loads calculated using piston theory.A new method called differential quadrature method(DQM) was applied to deal with the equations,and the DQM algorithm of the aeroelastic dynamic differential equations was established.The system’s flutter boundary was determined using Lyapunov indirect method,and the influence of system’s parameters on the flutter boundary was analyzed.Last,the influence of system’s parameters on the flutter amplitude of the panel was studied numerically,some significaut results were abtained.更多还原