Nonlinear flutter of a two-dimension thin plate subjected to aerodynamic heating by differential quadrature method  

作　　者：Dalin Chen Yiren Yang Chenguang Fan 

机构地区：[1]Institute of Structural Mechanics, CAEP, Mianyang 621900, China [2]Department of Applied Mechanics and Engineering,Southwest Jiaotong University, Chengdu 610031, China

出　　处：《Acta Mechanica Sinica》2008年第1期45-50,共6页力学学报（英文版）

基　　金：the National Natural Science Foundation of China (10576024)

摘　　要：The problem of nonlinear aerothermoelasticity of a two-dimension thin plate in supersonic airflow is examined. The strain-displacement relation of the von Karman＇s large deflection theory is employed to describe the geometric non-linearity and the aerodynamic piston theory is employed to account for the effects of the aerodynamic force. A new method, the differential quadrature method （DQM）, is used to obtain the discrete form of the motion equations. Then the Runge-Kutta numerical method is applied to solve the nonlinear equations and the nonlinear response of the plate is obtained numerically. The results indicate that due to the aerodynamic heating, the plate stability is degenerated, and in a specific region of system parameters the chaos motion occurs, and the route to chaos motion is via doubling-period bifurcations.The problem of nonlinear aerothermoelasticity of a two-dimension thin plate in supersonic airflow is examined. The strain-displacement relation of the von Karman＇s large deflection theory is employed to describe the geometric non-linearity and the aerodynamic piston theory is employed to account for the effects of the aerodynamic force. A new method, the differential quadrature method （DQM）, is used to obtain the discrete form of the motion equations. Then the Runge-Kutta numerical method is applied to solve the nonlinear equations and the nonlinear response of the plate is obtained numerically. The results indicate that due to the aerodynamic heating, the plate stability is degenerated, and in a specific region of system parameters the chaos motion occurs, and the route to chaos motion is via doubling-period bifurcations.

关 键 词：von Karman＇s plate DQM Chaos motion Doubling-period bifurcation 

分 类 号：O322[理学—一般力学与力学基础]