轴向运动粘弹性夹层梁的横向振动  

TRANSVERSE VIBRATION OF AXIALLY MOVING VISCOELASTIC SANDWICH BEAM

作　　者：吕海炜[1] 李映辉[1] 刘启宽[2] 李亮[1] 

机构地区：[1]西南交通大学力学与工程学院,成都610031 [2]昆明学院数学系,昆明650214

出　　处：《动力学与控制学报》2013年第4期314-319,共6页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(11072204);中央高校科研业务费专题项目(SWJTU11ZT15);昆明学院引进人才科研先项目资助(YJL12005)~~

摘　　要：研究了小扰度下轴向匀速运动粘弹性夹层梁的振动模态和固有频率.基于Kelvin粘弹性本构方程,建立了轴向运动粘弹性夹层梁横向振动控制方程.分别采用Galerkin截断和复模态分析方法,研究两端简支的粘弹性夹层梁的固有频率和模态函数,讨论了轴向运动速度、夹心层与约束层厚度比、初始轴力等参数对夹层梁固有频率、临界速度及稳定性的影响.The transverse vibration of an axially moving viscoelastic sandwich beam with small deflection was in- vestigated. Based on the Kelvin differential constitutive equation, the transverse controlling equation was estab- lished. The eigenfunctions of the axially moving viscoelastic sandwich beam with simple supported boundary con- dition were obtained by using Galerkin truncation and complex mode analysis. The influence of the ratio of the core layer, axially moving velocity and axial tension on the natural frequencies and critical velocity were discussed by using numerical method.

关 键 词：粘弹性夹层梁 横向振动 Galerkin截断 复模态分析法 稳定性 

分 类 号：O322[理学—一般力学与力学基础]