轴向运动热弹耦合楔形梁的振动特性  

Vibration Characteristics of the Thermoelastic Coupling Axially Moving Tapered Beam

作　　者：郭旭侠[1] 薛晓飞 GUO Xu-xia;XUE Xiao-fei(Baoji University of Arts and Sciences,Baoji Shaanxi 721013,China)

机构地区：[1]宝鸡文理学院,陕西宝鸡721013

出　　处：《机械研究与应用》2018年第5期57-60,共4页Mechanical Research & Application

基　　金：陕西省科技厅项目:非保守热弹耦合变速运动板的稳定性研究(编号:2013JQ1013);陕西省教育厅项目:非保守热弹耦合轴向运动梁的稳定性研究(编号:14JK1043);宝鸡文理学院重点项目:随从力作用下热弹耦合轴向运动梁的振动特性(编号:ZK11067)

摘　　要：以工程中的基本构件楔形梁作为研究对象,分析梁在温度场和弹性场耦合条件下的振动特性。采用D'Alembert原理建立两端固支热弹耦合运动梁的运动微分方程,依据微分求积法得到其特征方程,并对两端固支耦合热弹运动梁的复频率进行了数值计算。得到不同的梁高比下,两端固支轴向运动热弹耦合梁的复频率和速度与频率的变化关系。楔形梁的第一阶模态发散失稳的临界速度随着梁高比的减小而减小,单一模态颤振的临界速度也呈现同样的变化趋势。Taking the tapered beam,the basic component in project as the research object,the vibration characteristics of the beam under coupling condition of the temperature field and the elastic field is analyzed in this paper.Based on D'Alembert principle,the differential equations of motion of the clamped thermoelastic coupled moving beam are established;the characteristic equation is obtained with the differential quadrature method,and its complex frequency is calculated.The dimensionless complex frequencies of the axially moving beam with clamped end are calculated numerically to obtain the curve of velocities and frequencies.The first mode of beam divergence critical speed decreases with the beam height ratio decreases,and the critical speed of the single mode flutter also shows the same trend.

关 键 词：热弹耦合 温度场 微分求积法 振动特性 

分 类 号：O32[理学—一般力学与力学基础]