摘要
基于Kelvin粘弹性材料本构模型,研究小曲率粘弹性索在窄带随机激励作用下的非线性随机稳定性及均方响应· 首先建立小曲率粘弹性索数学模型;然后提出一种确定粘弹性索均方响应及概率渐近稳定性方法;给出了系统均方稳定对激励带宽、幅值、中心频率等要求;给出系统的稳定区域;最后讨论了材料粘性。
The non_linear planar mean square response and the random stability of a viscoelastic cable that has a small curvature and subjects to planar narrow band random excitation is studied.The Kelvin viscoelastic constitutive model is chosen to describe the viscoelastic property of the cable material.A mathematical model that describes the nonlinear planar response of a viscoelastic cable with small equilibrium curvature is presented first.And then a method of investigating the mean square response and the almost sure asymptotic stability of the response solution is presented and regions of instability are charted.Finally,the almost sure asymptotic stability condition of a viscoelastic cable with small curvature under narrow band excitation is obtained.
出处
《应用数学和力学》
EI
CSCD
北大核心
2003年第8期857-864,共8页
Applied Mathematics and Mechanics
关键词
索
均方响应
随机稳定性
KeJvin粘弹性模型
窄带随机激励
cable
mean square response
stochastic stability
Kelvin viscoelastic model
narrow band random excitation
