摘要
The chaotic motion of a harmonically forced circular plate is studied in the paper. The virtual displacement principle is used to derive the dynamic equation of motion, with the effect of large deflection of plate taken into account. By means of Garlerkin approach and Melnikov function method, the critical condition for chaotic motion is obtained. A demonstrative example is discussed through the Poincare mapping, phase portrait and time history.
研究了一轴对称弹性圆板的混沌运动。计入板的几何非线性—大挠度效应，利用虚位移原理，导出了板的非线性动力方程。采用Ｍｅｌｎｉｋｏｖ函数、Ｐｏｉｎｃａｒｅ映射、相平面轨迹等工具，判断板是否发生混沌运动。
