不确定性热弹耦合梁的固有振动分析  

Free vibration analysis of a thermoelastic coupled beam with material uncertainty

作　　者：张保强[1] 陈国平[1] 郭勤涛[2] 

机构地区：[1]南京航空航天大学机械结构强度力学及控制国家重点实验室,南京210016 [2]南京航空航天大学机电学院,南京210016

出　　处：《振动与冲击》2012年第19期160-164,共5页Journal of Vibration and Shock

基　　金：江苏省普通高校研究生科研创新计划资助项目(CXZZ11_0193);南京航空航天大学基本科研业务专项科研项目(NJ2010009)

摘　　要：考虑材料参数存在的不确定性,研究热弹耦合梁的固有振动特性。基于欧拉梁的振动微分方程和傅里叶定律热传导方程,得到了梁的热弹耦合振动微分方程;在给定梁的自由振动形式下求解得到梁的固有频率,并分析耦合固有频率随参考温度的变化规律;在考虑材料参数不确定情况下,分析热弹耦合耦合固有频率特性。研究结果表明考虑热弹耦合效应时,梁的各阶固有频率都有所增加;耦合固有频率随着参考温度的升高逐渐增大;考虑材料参数不确定性时,梁的各阶耦合固有频率规律复杂,但具有跟材料参数相同的分布规律。The thermoelastic natural vibration analysis of a beam was investigated considering material uncertainty. The coupled thermoelastic vibration governing equations were derived based on the differential equations of Fourier heat conduction and transverse vibrations of an Euler beam. The effects of reference temperature on the coupled nature frequencies solved in a given form of the free vibration of the beam were studied. The properties of the coupled natural frequencies were analyzed considering material uncertainty. The results showed that the coupled natural frequencies increase with thermoelastic coupling effect considered and reference temperature; in addition, the coupled natural frequencies varying is complex, but has the similar distribution laws as those of material parameters when considering material uncertainty.

关 键 词：热弹耦合 不确定性 振动 耦合固有频率 

分 类 号：O327[理学—一般力学与力学基础] TH113[理学—力学]