Nonlinear flutter of a two-dimension thin plate subjected to aerodynamic heating by differential quadrature method |
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Authors: | Dalin Chen Yiren Yang Chenguang Fan |
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Institution: | (1) Institute of Structural Mechanics, CAEP, Mianyang, 621900, China;(2) Department of Applied Mechanics and Engineering, Southwest Jiaotong University, Chengdu, 610031, China |
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Abstract: | 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 project supported by the National Natural Science Foundation of China (10576024).
The English text was polished by Keren Wang. |
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Keywords: | von Karman’ s plate DQM Chaos motion Doubling-period bifurcation |
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