Nonlinear Vibration Analysis of Nonlocal Elastic Multi-Walled Carbon Nanotubes
This paper presents the nonlinear finite element analysis of the nonlocal elastic multi-walled carbon nanotubes with large-amplitude vibrations. The nonlinear finite element formulations are presented first, and then the nonlinear natural frequency is obtained by using the direct numerical integration method to the equations. The numerical examples of the single-, double-, and triple-walled carbon nanotubes are demonstrated. The results show that the nonlinear natural frequency decreases as the nonlocal parameter increases.
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Document Type: Research Article
Publication date: 2012-07-01
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