轴向运动粘弹性夹层梁热力耦合振动频率分析

摘要

The transverse vibration characteristics of an axially moving viscoelastic sandwich beam were studied considering coupling between temperature field and displacement field.Based on Euler-Bernouli beam theory and the constitutive relation of Kelvin viscoelastic material model,the transverse vibration equations of the beam were established.Considering interaction of material deformation and heat conduction,the governing coupled vibration equations of the beam were derived.The coupled thermoelastic dynamic system was gained with the fourth-order Galerkin truncation method.The effect of the related thermal parameters on the vibration frequencies of the beam was analyzed by using the numerical method.%研究了温度场与位移场相互耦合时,轴向运动粘弹性夹层梁的横向振动特性.基于Euler-Bernouli梁理论和Kelvin粘弹性材料本构关系,建立了轴向运动粘弹性夹层梁横向振动控制方程;考虑材料变形与传热的相互影响,得到相应的热力耦合状态下轴向运动粘性夹层梁的耦合控制方程.采用Galerkin截断得到相应的热力耦合动力系统.用数值方法分析了相关热参数对梁振动频率的影响.