扁球薄壳在大挠度下的混沌行为及其控制

Chaos and its Control Analysis of Flat Spherical Shallow Shells under Large Deflection

对利用迦辽金法建立的扁球壳结构的非线性受迫振动微分方程进行分析,通过数值仿真绘出系统的相轨迹图和时间历程图,从而分析了系统的混沌形成过程.然后利用x|x|控制法、变量反馈控制法对该混沌系统进行控制,将该混沌系统控制到稳定的周期轨道上.

The forced vibration nonlinear differential equation of flat spherical shell is obtained by the method of Galerkin, the phase plane plotted with numerical simulation and then the forming process of chaos are analysed through the phase. Then the methods of x│x│controlling and feedback controlling are used to control chaos of the system, the numerical simulation shows that the chaos of the system is controlled on stable periodic orbits under proper controlling intensity.