4.4 Article

FREE VIBRATION ANALYSIS OF FLUID-CONVEYING CARBON NANOTUBE VIA WAVE METHOD

Journal

ACTA MECHANICA SOLIDA SINICA
Volume 27, Issue 6, Pages 626-634

Publisher

SPRINGER
DOI: 10.1016/S0894-9166(15)60007-6

Keywords

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

Funding

  1. Aeronautical Science Foundation of China [2010ZA53013, 2011ZA53014]
  2. Key Laboratory of Advanced Design and Intelligent Computing(Dalian University), Ministry of Education [ADIC2010007]
  3. Northwestern Polytechnical University Basic Research Fund [JC201114, JC20110255]

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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 non-local 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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