@Article{EAJAM-5-209,
author = {},
title = {Variational Principles for Vibrating Carbon Nanotubes Conveying Fluid, Based on the Nonlocal Beam Model},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {5},
number = {3},
pages = {209--221},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.130814.250515a},
url = {http://global-sci.org/intro/article_detail/eajam/10797.html}
}