粘弹性曲梁的动力稳定性  

Dynamic Stability of Viscoelastic Curved Beam Under Following Forces

作　　者：黄彤斌 晁晓宇[3] 魏德敏[2,3] 

机构地区：[1]广东珠江外资设计院,广东广州510060 [2]华南理工大学亚热带建筑科学国家重点实验室,广东广州510640 [3]华南理工大学土木工程系,广东广州510640

出　　处：《中山大学学报（自然科学版）》2008年第S2期141-146,共6页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国家自然科学基金资助项目(10272046)

摘　　要：利用线性粘弹性力学中的微分型本构关系,建立了粘弹性Timoshenko曲梁在均布随从力作用下的屈曲运动微分方程。分离屈曲位移中的空间变量和时间变量,采用归一化幂级数法建立起该非保守系统的复特征方程,在考察位移单值性条件的基础上,运用拟牛顿法得出粘弹性曲梁振动参数随随从力的变化关系曲线,研究了支承条件对粘弹性曲梁非线性动力稳定性的影响,并考察了材料粘性对结构动力稳定性的影响。Using differential constitutive relation for the linear viscoelastic mechanics,the inflective differential equation of the viscoelastic Timoshenko curved beam accompanying following forces has been established.Spatial variables were separated from time variable in inflective displacement.Normalized power series method was adopted to establish the complex characteristic equation of the conservative system.On the base of uniqueness of the displacement value,the quasi-Newton method was adopted to obtain the curve relating vibration parameter and the following force for the viscoelastic curved beam.The impacts of supporting condition and material viscosity over the nonlinear dynamic stability of the viscoelastic curved beam have also been studied.

关 键 词：粘弹性 动力稳定性 归一化幂级数法 

分 类 号：O347.2[理学—固体力学]