摘要
研究了非线性弹性双向受压矩形薄板受迫振动时的混沌运动，将其混沌运动归结为关于一个具有异宿轨道的Ｄｕｆｉｎｇ方程的讨论，利用Ｍｅｌｎｉｋｏｖ函数法给出了发生混沌运动的临界条件，并进行了数值模拟，揭示出在此类新的非线性动力系统中，同样存在着发生混沌的可能。
In this paper,the chaotic motion of a nonlinear elastic rectangular plate is studied.Its chaotic motion may be reduced to a Duffing equation which has a heroclinic orbit.The critical condition that the system enters chaotic states is given by the Melnikov method.The numerical computation was carried out.Theoretical analysis shows that the chaotic motion may occur in this system.
基金
国家自然科学基金
省自然科学基金
