Small Scale Effect on Boundary Conditions of Cantilever Single Carbon Nanotubes
2013 ◽
Vol 275-277
◽
pp. 33-37
Keyword(s):
In this paper, the boundary condition on free vibration of cantilever single-walled carbon nanotubes (SWCNTs) with Winkler elastic medium is investigated. The Euler beam theory with nonlocal elasticity is modeled as SWCNT. The analytical solution is derived and the numerical results show that the additional boundary conditions from small scale do not change natural frequencies. The reason is that the additional work made by the moment and shear force at the free end from small scale effect cancel each other, the boundary conditions due to local elasticity and nonlocal elasticity are also equivalent. Thus for simplicity, one can apply the local boundary condition to replace the small scale boundary condition.
2013 ◽
Vol 5
(9)
◽
pp. 2729-2733
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2012 ◽
Vol 17
(4)
◽
pp. 1965-1979
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2012 ◽
Vol 44
(7-8)
◽
pp. 1372-1379
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Keyword(s):
2011 ◽
Vol 11
(03)
◽
pp. 411-429
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2012 ◽
Vol 04
(03)
◽
pp. 1250025
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Keyword(s):
2011 ◽
Vol 30
(6)
◽
pp. 992-998
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2010 ◽
Vol 1
(-1)
◽
pp. 1-9
2014 ◽
Vol 10
(5/6)
◽
pp. 415
2008 ◽
Vol 22
(28)
◽
pp. 2769-2777
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