An improved aerothermoelastic flutter model of an infinitely long isotropic panel is proposed to investigate the complex dynamic behaviors of panel structures in supersonic flow. Considering the history effects of aerodynamic heating, a new model suitable for numerical computation of the temperature distribution in the panel is presented and proved mathematically. Then, the internal force and moment in the panel induced by thermal stress are accurately introduced into the existing panel flutter model. Finally, some numerical analyses based on the Galerkin procedure are presented, in combination with the presented aerothermoelastic model which is based on von Karman large deflection plate theory. From the numerical results, it is found that the effects of the aerodynamic heating and its history are significant and complicated, since they can induce, intensify, or change the oscillation behaviors of the panel. Furthermore, a rich variety of nonlinear dynamic behaviors, such as instabilities and chaos in the panel flutter model, are captured and analyzed, by bifurcation analysis and the maximum Lyapunov exponent in nonlinear dynamics. As a conclusion, it can be drawn that the model presented could be used to study the aerothermoelastic dynamics accurately and feasibly.
Instabilities and Chaos in Semiconductor Laser With Optical Injection and Feedback