关键词: 壁板颤振;粘弹性;分岔+;迦辽金法+

Abstract: A nonlinear viscoelastic panel flutter model was developed and its bifurcation and chaos behavior was studied.Von Karman’s large deflection theory and Kelvin’s viscoelastic damping model were applied to derive the governing equation,while the first order piston theory was used to simulate the gas pressure applied on the panel.Then,the partial differential governing equation was transformed to ordinary differential equations by use of Galerkin method,and solved with Gear’s BDF method.The study is focused on the bifurcation and chaos characteristics of the flutter model,and the influence of viscoelastic damping.The results demonstrate that the viscoelastic panel flutter system may represent complex dynamic characteristic with variation of bifurcation parameters,and both the stable region and chaotic region decrease as the viscoelastic damping increases.

Key words: Panel flutter;Viscoelasticity;Bifurcation+;Galerkin method+