弹性介质中输流微管道的热弹性振动分析

摘要

The transverse vibration of microfluid-conveying microtubes embedded in elastic mediums under temperature environments is investigated.The governing equation of the transverse vibration of the tube is established based on the Hamilton's principle and the nonlinear thermoelastic theory,and then solved by using the complex mode method.The natural frequency and the critical flow velocity for buckling instability are obtained and the influences of the surrounding temperature and some major system parameters on the vibration characteristics are discussed.It is shown that the temperature variation,the micro-size effects of both tube and fluid,the outer diameter and the elastic medium rigidity have a significant influence on the natural frequency and the critical flow velocity of fluid-conveying microtubes.%研究热环境中被弹性介质包围的微米输流管道的横向振动问题.根据Hamilton原理及非线性热弹性理论建立管道横向振动控制方程,并利用复模态法对其进行求解,得到了系统的固有频率和屈曲失稳临界流速,讨论了环境温度和一些重要系统参数对管道振动特性的影响.研究结果表明:环境温度变化、管道和流体的微尺度效应、管道外径及弹性介质刚度对输流微管道固有频率和临界流速都有很大影响.