Free Vibrations of a Rotating Single-Walled Carbon Nanotube Embedded in an Elastic Medium Based on Nonlocal Elasticity Theory
H. Nahvi and M.E. Boroojeni
Islamic Azad University, Khomeinishahr Branch, Khomeinishahr, Isfahan 84175/119, Iran
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In this paper, a nonlocal beam model is developed and applied to investigate flapwise vibration characteristics of a rotating single-walled carbon nanotube on a Pasternak foundation. Differential quadrature method is used to solve equation of motion. The effects of small-scale factor, angular velocity and elastic foundation on the natural frequencies are examined and discussed. It is shown that small-scale effect plays an important role in the vibration response of a rotating nanotube.

DOI: 10.12693/APhysPolA.123.304
PACS numbers: 62.25.-g, 62.25.De