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.
出处
《华南理工大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2000年第8期1-5,共5页
Journal of South China University of Technology(Natural Science Edition)
