【摘要】 研究了超音速气流中受热壁板的非线性动力学行为。用规范型方法研究了受热壁板由于Hopf分岔产生的颤振。数值模拟验证了理论分析的结果。利用Runge-Kutta方法对系统进行了计算,给出了系统的相图、分岔图,发现该模型存在混沌运动。当系统参数变化时,该系统可经过倍周期分岔进入混沌或产生阵发性混沌。更多还原

【Abstract】 Nonlinear dynamic behaviors of heated panels in supersonic flow were studied.The flutter arising of the heated panel from Hopf bifurcation was investigated with normal form method.Numerical simulations confirm the analytical results.The phase portraits,bifurcation diagram of the system were obtained with Runge-Kutta method.There exist chaotic motions for this model.The system evolves chaotic motions through period-doubling bifurcation or intermittence chaos while the system parameters vary.更多还原