粘弹性浅拱的非线性动力学行为

Nonlinear Dynamic Behaviors of Viscoelastic Shallow Arches

研究了外荷载作用下粘弹性浅拱的非线性动力行为.通过d’Alembert原理和Euler-Bernoulli假定建立了浅拱的控制方程,其中非线性粘弹性材料采用Leaderman本构关系.运用Galerkin法和数值积分研究粘弹性浅拱的非线性动力特性.并分析了矢高、材料参数、激励幅值和频率等参数的影响,结果表明一定条件下粘弹性浅拱可出现混沌运动.

The nonlinear dynamic of nonlinear viscoelastic shallow arches subjected to the external exaltation is investigated.Based on the d＇ Alembert principle and the Euler-Bemoulli assumption, the governing equation of shallow arch was obtained, where the Leaderman constitutive relation was applied. The Galerkin method and numerical integration were used to study the nonlinear dynamic properties of the viscoelastic shallow arches. Moreover, the effects of the rise, the material parameter and excitation on the nonlinear dynamic of shallow arch were investigated. The results show that viscoelastic shallow arches may have chaotic motion for certain condition.