Vibrational analysis of a rotating nanotube conveying fluid based on Eringen’s nonlocal elasticity theory

Journal of Mechanical Research and Application

دوره 10، شماره 1، مرداد 2020، صفحه 1-10   

نویسندگان

Mehdi Salehi^* ؛ Mohammad Armaghani

Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran

چکیده

 In recent years, a wide range of potential applications of nano-tubes have been reported. Vibrational behavior of rotating nano-tubes can be a challenging aspect of such structures. Due to their low dimension, classical theories fail to predict accurate behavior of nano-structures. In the present paper, Eringen’s non-local theory has been employed to study the vibration characteristics of a rotating nanotube conveying fluid. The effects of the scale parameter, mass, fluid velocity and angular velocity on the vibration characteristics of a rotating nanotube conveying fluid were investigated. The stability of the structure in different conditions was also discussed. The results show that dimensionless mass parameter do not affect the critical fluid velocity in a non-rotating nanotube conveying fluid. At the same time, critical velocity decreases by increasing nonlocal parameter. Also in a rotating nanotube, this point is a function of mass parameter and decreases and then increases to somewhere near the moving start point as β increases. A reciprocal relation was noticed between critical fluid velocity and critical angular velocity. Moreover, assuming constant mass, the area of the stability zone becomes wider as the nonlocal parameter increases.

کلیدواژه‌ها

nanotube؛ vibrations؛ Eringen nonlocal theory؛ stability