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Acta Mechanica Solida Sinica

, Volume 27, Issue 6, pp 626–634 | Cite as

Free Vibration Analysis of Fluid-Conveying Carbon Nanotube via Wave Method

  • Zijun Zhang
  • Yongshou Liu
  • Baohui Li
Article

Abstract

The wave method is introduced to vibration analysis of the fluid-conveying carbon nanotube. The constitutive relation of carbon nanotube on micro-scale is founded using the nonlocal elastic theory. The governing equation on micro-scale is obtained. And the first five orders of the natural frequency of the carbon nanotube conveying fluid with various speeds are calculated through the wave method. Besides, the critical flow velocity when the carbon nanotube loses stability is obtained. Meanwhile, a contrast is made between the result obtained through the wave method and that in previous researches.

Key Words

wave method non-local elastic theory natural frequency critical flow velocity 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2014

Authors and Affiliations

  1. 1.Department of Engineering MechanicsNorthwestern Polytechnical UniversityXi’anChina

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