@Article{AAMM-1-1,
author = {Zhang, Y., Y. and Wang, M., C. and V., Tan, C., B.},
title = {Assessment of Timoshenko Beam Models for Vibrational Behavior of Single-Walled Carbon Nanotubes Using Molecular Dynamics},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2009},
volume = {1},
number = {1},
pages = {89--106},
abstract = {<p style="text-align: justify;">In this paper, we study the flexural vibration behavior of
single-walled carbon nanotubes (SWCNTs) for the assessment of
Timoshenko beam models. Extensive molecular dynamics (MD)
simulations based on second-generation reactive empirical bond-order
(REBO) potential and Timoshenko beam modeling are performed to
determine the vibration frequencies for SWCNTs with various
length-to-diameter ratios, boundary conditions, chiral angles and
initial strain. The effectiveness of the local and nonlocal
Timoshenko beam models in the vibration analysis is assessed using
the vibration frequencies of MD simulations as the benchmark. It is
shown herein that the Timoshenko beam models with properly chosen
parameters are applicable for the vibration analysis of SWCNTs. The
simulation results show that the fundamental frequencies are
independent of the chiral angles, but the chirality has an
appreciable effect on higher vibration frequencies. The SWCNTs is
very sensitive to the initial strain even if the strain is extremely
small.</p>},
issn = {2075-1354},
doi = {https://doi.org/2009-AAMM-210},
url = {https://global-sci.com/article/73675/assessment-of-timoshenko-beam-models-for-vibrational-behavior-of-single-walled-carbon-nanotubes-using-molecular-dynamics}
}