Flutter Analysis of Three-dimensional viscoelastic Panel
Xiao Yanping1; Yang Yi-ren2;Ye Xian-hui2
1. The Dept. Of Flight Tech., Civil Aviation Flight College of China, Guanghan 618307, China2. Dept. of Appl. Mechanics and Eng. , Southwest Jiaotong University , Chengdu 610031 , China
Abstract：Based on the Kelvin' s viscoelastic damping model, the flutter differential equations of a three dimension panel are set up according to Von Karman large deformation strain-displacement relation and the first piston theory of supersonic aerodynamics by using the Galerkin approach, which are solved with Rouge-Kutta method. The effect of viscoelastic damping, in-plane loads and panel length-to-width ratios on the flutter of the panel are analyzed. Then Using dynamic pressure as bifurcation parameter, its bifurcation and chaos behaviors are studied. The results show that with the rise of viscoelastic damping, the stable region increases firstly and then decreases; and the chaotic region fleetly decreases; but it is almost no effect on buckle region. The results also demonstrate that with variation of bifurcation parameter the viscoelastic panel flutter system may represent complex dynamics characteristics. It changes to simple harmonic limits cycle oscillation from the chaotic oscillation through a series of bifurcations. And the more compression in-plane loads and the smaller length-to-width ratio are no benefit to the stability of the panel.
2011, Vol. 30 
