粘弹性介质中输流碳纳米管的动态稳定性分

应用非局部粘弹性夹层梁模型分析粘弹性介质中输送脉动流碳纳米管的动态稳定性。在经典的欧拉梁模型中考虑了由管道内、外壁上的薄表面层引起的表面弹性效应和表面残余应力,同时考虑纳米管道的非局部效应,得到了改进的欧拉梁模型。用平均法对其控制方程进行求解,得到了管道稳定性区域。数值算例揭示了纳米管的壁厚、粘弹性特性、表面效应及两个介质参数对管道动态稳定性的复杂影响,结论可为纳米流体机械的结构设计和振动分析提供理论基础。

Dynamic stability of a fluid-conveying carbon nanotube embedding in linear viscoelastic medium

In this paper, a nonlocal viscoelastic sandwich-beam model is developed to investigate the dynamic stability of a pulsating-fluid-conveying carbon nanotube (CNT) embedding in linear viscoelastic mediums. The classical Euler-Bernoulli beam model is modified by considering the effects of surface elasticity and surface residual stress induced by thin surface layers presented on the inner and outer tube surfaces and nonlocal effect. The governing equation is solved via the averaging method and the stability regions are obtained. Numerical examples are presented to reveal the complicated influences of tube thickness, viscoelasticity, surface effects and two medium parameters on the dynamic stability of the CNT. The conclusions drawn in the present paper are thought to be helpful for the structural design and vibration analysis of nanofluidic devices.