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2013 (Vol. 5, Issue: 09)
Article Information:

Small Scale Effect on Thermal Vibration of Single-Walled Carbon Nanotubes with Nonlocal Boundary Condition

Li Ming and Zheng Huiming
Corresponding Author:  Zheng Huiming 

Key words:  Euler-Bernoulli beams theory, exact solution, nonlocal elasticity, resonant frequency, thermal effect, vibrational mode,
Vol. 5 , (09): 2729-2733
Submitted Accepted Published
September 19, 2012 November 01, 2012 March 20, 2013
Abstract:

In this study, a single beam model has been developed to analyze the thermal vibration of Single-Walled Carbon Nanotubes (SWCNT). The nonlocal elasticity takes into account the effect of small size into the formulation and the boundary condition. With exact solution of the dynamic governing equations, the thermal-vibrational characteristics of a cantilever SWCNT are obtained. Influence of nonlocal small scale effects, temperature change and vibration modes of the CNT on the frequency are investigated. The present study shows that the additional boundary conditions from small scale do not change natural frequencies at different temperature change. Thus for simplicity, one can apply the local boundary condition to replace the small scale boundary condition.
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  Cite this Reference:
Li Ming and Zheng Huiming, 2013. Small Scale Effect on Thermal Vibration of Single-Walled Carbon Nanotubes with Nonlocal Boundary Condition.  Research Journal of Applied Sciences, Engineering and Technology, 5(09): 2729-2733.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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