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Nonlinear Vibration Analysis of Nonlocal Elastic Multi-Walled Carbon Nanotubes

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Abstract:

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.

Document Type: Research Article

DOI: http://dx.doi.org/10.1166/asl.2012.4087

Publication date: July 1, 2012

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  • ADVANCED SCIENCE LETTERS is an international peer-reviewed journal with a very wide-ranging coverage, consolidates research activities in all areas of (1) Physical Sciences, (2) Biological Sciences, (3) Mathematical Sciences, (4) Engineering, (5) Computer and Information Sciences, and (6) Geosciences to publish original short communications, full research papers and timely brief (mini) reviews with authors photo and biography encompassing the basic and applied research and current developments in educational aspects of these scientific areas.
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