磁场环境下输流碳纳米管的热振动与稳定性分析  

Thermal-Mechanical Vibration and Stability Analysis of Fluid-Conveying Carbon Nanotubes under Magnetic Field

作　　者：甄亚欣[1] 

机构地区：[1]华北电力大学数理学院,北京

出　　处：《声学与振动》2016年第2期11-18,共8页Open Journal of Acoustics and Vibration

基　　金：国家自然科学基金资助(No.11402087);中央高校专项科研业务费(No.2016MS64)。

摘　　要：本文基于非局部弹性理论和欧拉梁理论,研究了磁场和温度场耦合作用下输流碳纳米管的动力学特性。采用微分求积法进行求解,详细讨论了常温环境下温度变化量和磁通量等对系统的振动频率和临界流速的影响。结果表明随着温度变化量的增大,系统的振动频率和临界流速都增大。随着磁通量的增大,系统的振动频率和临界流速明显增大,增强磁场能够显著提高系统的稳定性。In this paper, based on nonlocal elasticity theory and Euler-Bernoulli beam theory, we investigate the dynamical characteristics of carbon nanotubes conveying fluid under longitudinal magnetic field with considering thermal effect. Differential quadrature method is used to do the simulation. The influence of temperature changes under normal atmospheric temperature and magnetic flux on the natural frequency and critical flow velocity are discussed in detail. The results show that the natural frequencies and critical flow velocity increase as the temperature changes increase. As the magnetic flux increases, the natural frequency and critical flow velocity increase distinctly, which demonstrate that increase the magnetic flux can obviously improve the stability of the fluid- conveying system.

关 键 词：热效应 非局部弹性理论 磁场 稳定性 

分 类 号：O32[理学—一般力学与力学基础]