弹性介质中输流碳纳米管的热弹性振动研究  

Thermoelastic Vibration of a Fluid-conveying Carbon Nanotube Embedded in Elastic Mediums

作　　者：梁峰[1] 田健[1] 金莹[1] 包日东[1] 

机构地区：[1]沈阳化工大学能源与动力工程学院,辽宁沈阳110142

出　　处：《沈阳化工大学学报》2015年第4期336-341,共6页Journal of Shenyang University of Chemical Technology

基　　金：国家自然科学基金项目(51275315);辽宁省教育厅科学研究一般项目(L2013160)

摘　　要：应用非局部黏弹性梁模型研究弹性介质中输流碳纳米管在不同温度环境中的热弹性振动和稳定性问题.对于包含有小尺度项和热效应项的控制方程,利用复模态法计算系统的固有频率和临界流速,并用平均法得到脉动内流作用时管道参数振动稳定性边界的解析表达式,讨论非局部效应、热效应及弹性介质对系统稳定性的影响.结果表明:高温环境(高于室温)中纳米管系统的固有频率、临界流速和参数振动稳定性都要比低温环境(低于或等于室温)中低,而温度变化量、非局部效应和弹性介质在不同温度环境中对纳米管系统的影响也不同.In this paper,a nonlocal viscoelastic beam model is developed to investigate the thermoelastic vibration and stability of a fluid-conveying carbon nanotube （ CNT ） embedded in elastic mediums under different temperature environments. The governing equation including small scale and thermal effect terms is solved by the complex mode and averaging methods and the natural frequency,critical flow velocity and analytical expression of the parametric resonance boundary are obtained. The influences of nonlocal,ther-mal effects and elastic mediums on the stability of the system are discussed. The results obtained show that the natural frequency,critical flow velocity and parametric resonance stability of the CNT at high tempera-tures（ higher than room temperature） are all lower than those at low temperatures（ lower than or equal to room temperature）,and the temperature change,nonlocal effect and elastic mediums have different im-pacts on the CNT at different temperature environments.

关 键 词：输流碳纳米管 热弹性振动 温度环境 非局部效应 弹性介质 

分 类 号：O326[理学—一般力学与力学基础]