Variational Principles for Vibrating Carbon Nanotubes Conveying Fluid, Based on the Nonlocal Beam Model
2015 ◽
Vol 5
(3)
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pp. 209-221
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Keyword(s):
AbstractVariational principles are derived in order to facilitate the investigation of the vibrations and stability of single and double-walled carbon nanotubes conveying a fluid, from a linear time-dependent partial differential equation governing their displacements. The nonlocal elastic theory of Euler-Bernoulli beams takes small-scale effects into account. Hamilton’s principle is obtained for double-walled nano-tubes conveying a fluid. The natural and geometric boundary conditions identified are seen to be coupled and time-dependent due to nonlocal effects.
2011 ◽
Vol 134
(1)
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2015 ◽
Vol 3
(2)
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pp. 131-144
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2011 ◽
Vol 8
(11)
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pp. 2214-2219
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2005 ◽
Vol 05
(03)
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pp. 457-474
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2014 ◽
Vol 57
◽
pp. 21-24
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