轴向运动粘弹性夹层梁热力耦合振动频率分析

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (14) : 209-214.

论文

轴向运动粘弹性夹层梁热力耦合振动频率分析

王金梅李映辉

作者信息 +

Analysis of the coupled thermoelastic vibration for the axially moving viscoelastic sandwich beam

Wang Jinmei Li Yinghui

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文章历史 +

摘要

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。

Abstract

The transverse vibration characteristic of the viscoelastic sandwich beam with axial speed is studied under the coupled temperature field and displacement field. Based on the theory of Euler - Bernouli beam and the constitutive relation of Kelvin viscoelastic material model, the transverse vibration equation of the axially moving beam is established ; considering the interaction of the material deformation and the heat conduction, the coupled governing equation of the beam is obtained. and the coupled thermoelastic dynamics system are obtained by the Fourth-order Galerkin truncation method. the related thermal parameters on the vibration frequency are analyzed by using numerical method.

导出引用

王金梅李映辉. 轴向运动粘弹性夹层梁热力耦合振动频率分析[J]. 振动与冲击, 2013, 32(14): 209-214

Wang Jinmei Li Yinghui. Analysis of the coupled thermoelastic vibration for the axially moving viscoelastic sandwich beam[J]. Journal of Vibration and Shock, 2013, 32(14): 209-214