非线性双曲扁薄壳的混沌运动

Chaotic Motion of the Non-Linear Hyperbolic Flat Thin Shell

计及几何非线性效应的影响 ,研究了简支双曲扁薄壳在简谐激励作用下的动力学行为 ;利用Galerkin原理建立了这一非线性系统的微分方程 .数值分析表明 ,这一非线性系统存在着发生混沌运动的可能 .

The dynamic behaviour of a simply supported hyperbolic flat thin shell subjected to a simple harmonic excitation is studied in the paper. With the geometrical non_linear effect taken into account, the differential equation of the single mode is obtained by using the Galerkin principle. Finally, numerical analysis shows that it is possible for chaos to occur in the system.