轴向运动黏弹性夹层板非线性动力稳定性分析  

Nonlinear Vibration of the Axially Moving Viscoelastic Sandwich Plate

作　　者：李映辉[1] 吕海炜[1] 李中华[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]中国石油宝鸡石油机械有限责任公司,陕西宝鸡721002

出　　处：《重庆理工大学学报（自然科学）》2012年第12期16-20,共5页Journal of Chongqing University of Technology：Natural Science

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项(SWJTU11ZT5)

摘　　要：基于薄板大挠度理论和Kelvin-Voigt黏弹性本构方程,建立了轴向运动黏弹性夹层板横向振动控制方程。采用一阶Galerkin截断方法研究了四边简支边界条件下轴向运动黏弹性夹层板横向振动特性。通过把非线性偏微分控制方程转化为非线性常微分方程组,研究了非线性一阶截断方程的平衡点及稳定性。Based on the theory of large deflection of thin plate and the constitutive law of Kelvin-Viogt viscoelastic material,the controlling equation which dominates the transverse vibration of the axially moving viscoelastic sandwich plate was established.By using the method of 1-term Galerkin truncation,the characteristic of transverse vibration of axially moving viscoelastic sandwich plate was researched under the boundary of four sides simple supports.The nonlinear partial differential equation is transformed into a set of nonlinear ordinary differential equations.The number of the equilibrium point along with flow speed and its dynamical stability are discussed.

关 键 词：黏弹性夹层板 轴向运动 Kelvin-Voigt模型 大变形 横向振动 

分 类 号：O32[理学—一般力学与力学基础]