热环境下壁板非线性颤振分析

基于一阶活塞气动力理论,采用Von Karman大变形应变-位移关系建立了无限展长壁板热环境下颤振方程,采用伽辽金方法对方程进行离散处理.取温度为分叉参数,研究壁板颤振时的分叉及混沌等复杂动力学特性.结果表明:温度载荷降低了系统的颤振临界动压,改变了颤振特性.在整个分岔参数范围内,系统呈现出较为复杂的变化,包括衰减振动、极限环振动、拟周期振动和混沌型振动.当考虑材料热效应时,系统的颤振动压将进一步降低,其响应也表现出更为丰富的非线性动态力学行为.

Nonlinear flutter analysis of panel with thermal effect

Based on the first-piston theory of supersonic aerodynamics, the flutter differential equation of a panel with the thermal effect is established by using the Von Karman large deformation strain-displacement relation. The Galerkin approach is applied to simplify the equations into the discrete forms. Using temperature as bifurcation parameter, its bifurcation and chaos behavior was studied. The calculated results indicate that the critical dynamic pressure acting on the panel is reduced and the response characteristic of the flutter is changed by the temperature loads. In all the range of bifurcation parameters, complex changes are presented, including four types of vibration behaviors: decay, limit-cycle, quasi-periodic and chaotic motions. When the thermal effect of material is considered, the critical dynamic pressure of the panel is further reduced and the more complex dynamic behaviors of the flutter system are observed.