非线性大挠度圆柱壳的混沌运动  

Chaotic Motion in a Cylindrical Shell with the Nonlinear Large Deflection

作　　者：韩强[1] 

机构地区：[1]华南理工大学交通学院力学系,广东广州510641

出　　处：《华南理工大学学报（自然科学版）》2000年第8期1-5,共5页Journal of South China University of Technology(Natural Science Edition)

摘　　要：建立了轴向受压圆柱壳考虑非线性大挠度效应时的力学模型 ,采用Galerkin原理 ,得到了壳体在前屈曲状态下关于时间部分的非线性动力方程 ,利用相平面轨迹、时程曲线和Poincare映射证实在这一非线性动力系统中存在着发生混沌运动的可能 .In this paper a nonlinear model of the cylindrical shell under the axial force is presented. The nonlinear large deflection effect is taken into consideration. Using the Galerkin principle, the nonlinear dynamic equation for the unknown function which varies only with time is obtained when the shell is under the pre_buckling situation. Finally, by the Poincare mapping, phase portrait and the time_displacement history, it is proved that the chaotic motion may occur in this dynamic system.

关 键 词：非线性大挠度 圆柱壳 混沌运动 工程动力学 

分 类 号：TB12[理学—工程力学] TB333[理学—力学]