超音速气流中受热壁板的非线性颤振特性

Nonlinear thermal flutter features of heated panels in supersonic air flow

随着高速飞行器技术的快速发展,壁板热颤振成为国内外研究人员的关注热点。壁板热颤振对飞行器性能有重大影响,甚至影响飞行安全。以超音速气流下的无限展长二维壁板结构作为研究对象,计入热效应的影响,根据Kirchhoff平板理论和Von Karman大变形几何非线性壁板理论建立系统的运动微分方程。并以壁板在x=0.25处为算例绘制了其前三阶弯曲构型的静态分岔图,对不同轴向载荷条件下壁板的屈曲构型进行了分析。考虑到温差ΔT是影响热应力的重要因素,对比了不同温差条件下,壁板的静气动弹性变形图,结果表明,温差越大,壁板偏离静平衡位置的位移越大。

Panel thermal flutter has become the research focus both at home and abroad with the rapid development of high-speed craft technology. Panel thermal flutter has a great influence on vehicle performance, and even affects the flight safety. The nonlinear flutter analysis of panel with thermal effect is carried out. Based on the Kirchhoff thin plate theory and the Von Karman＇s nonlinear large deformation strain-displace- ment relations, the dynamic equations of the flat panel are established. The paper takes the point at x = 0.25 as an example to draw its first three curved configuration static bifurcation diagrams, and the buckling con- figuration of panel of different axial load conditions is analyzed. As the difference in temperature is an im- portant factor affecting the thermal stress, the paper compares the elastic deformation of different temperature conditions, and results show that the greater the temperature difference is, the greater displacement of the panel deviation from the static equilibrium position will be.