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

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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.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Northwestern Polytechnical University, Xi’an, 710072, China

    Zijun Zhang, Yongshou Liu & Baohui Li

Authors
  1. Zijun Zhang
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  2. Yongshou Liu
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  3. Baohui Li
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Corresponding author

Correspondence to Zijun Zhang.

Additional information

The authors acknowledge the support of a grant from Aeronautical Science Foundation of China (2010ZA53013 and 2011ZA53014), the open funds of Key Laboratory of Advanced Design and Intelligent Computing(Dalian University), Ministry of Education (ADIC2010007) and Northwestern Polytechnical University Basic Research Fund(JC201114 and JC20110255), to whom the authors express their deep gratitude.

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Zhang, Z., Liu, Y. & Li, B. Free Vibration Analysis of Fluid-Conveying Carbon Nanotube via Wave Method. Acta Mech. Solida Sin. 27, 626–634 (2014). https://doi.org/10.1016/S0894-9166(15)60007-6

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  • DOI: https://doi.org/10.1016/S0894-9166(15)60007-6

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