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轴向运动耦合热弹梁的稳定性分析
引用本文:郭旭侠,高秀兰,王江波.轴向运动耦合热弹梁的稳定性分析[J].机械设计与制造,2009(8).
作者姓名:郭旭侠  高秀兰  王江波
作者单位:1. 宝鸡文理学院机电工程系,宝鸡,721007
2. 陕西烽火通信集团有限公司,宝鸡,721006
基金项目:宝鸡文理学院中青年科研计划项目 
摘    要:研究了轴向运动梁的耦合热弹稳定性.根据轴向运动梁的运动微分方程和考虑变形影响时的热传导方程,得出了温度场和变形场耦合情况下梁的耦合热弹运动微分方程.对两端简支轴向运动梁耦合热弹振动的复频率进行了数值计算,得出了无量纲复频率与无量纲运动速度之间的关系曲线.分析了无量纲热弹耦合因子、无量纲运动速度和梁的长高比对梁的临界速度和稳定性的影响.

关 键 词:轴向运动梁  热传导方程  耦合热弹  微分求积法

Analysis the stability of the coupled thermoelastic for the axially moving beam
GUO Xu-xia,GAO Xiu-lan,WANG Jiang-bo.Analysis the stability of the coupled thermoelastic for the axially moving beam[J].Machinery Design & Manufacture,2009(8).
Authors:GUO Xu-xia  GAO Xiu-lan  WANG Jiang-bo
Affiliation:1Mechanical and Electrical Engineering Department;Baoji University of Arts and Science;Baoji 721007;China;2Shanxi Fenghuo Communication Group Co.;Ltd;Baoji 721006;China
Abstract:The coupled thermoelstic stability of the axially moving beam are investigated.The differential equation of motion of the axially moving beam under the thermoelastic coupling is established based to the equilibrium equation and the thermal conduction equation involving deformation term.The dimensionless complex frequencies of the axially moving beam with simply supported under the coupled thermoelastic case are calculated by the differential quadrature method,and the curves of the real parts and imaginary p...
Keywords:Axially moving beam  Thermal conduction equation  Thermoelastic coupling  Dif ferential quadrature method  
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