Variational Principles for Vibrating Carbon Nanotubes Conveying Fluid,Based on the Nonlocal Beam Model |
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Authors: | Sarp Adali |
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Abstract: | Variational 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. |
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Keywords: | Variational principles carbon nanotube fluid flow nonlocal beam vibration |
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| 点击此处可从《East Asian journal on applied mathematics.》浏览原始摘要信息 |