Variational Principles for Transversely Vibrating Multiwalled Carbon Nanotubes Based on Nonlocal Euler-Bernoulli Beam Model

被引：86
作者：
Adali, Sarp [1 ]
机构：
[1] Univ KwaZulu Natal, Sch Mech Engn, Durban, South Africa
来源：
NANO LETTERS | 2009年 / 9卷 / 05期
关键词：
SOUND-WAVE PROPAGATION; ELASTICITY;
D O I：
10.1021/nl8027087
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
Variational principles are derived for multiwalled carbon nanotubes undergoing vibrations. Derivations are based on the continuum modeling with the Euler-Bernoulli beam representing the nanotubes and small scale effects taken into account via the nonlocal elastic theory. Hamilton's principle for multiwalled nanotubes is given and Rayleigh's quotient for the frequencies is derived for nanotubes undergoing free vibrations. Natural and geometric boundary conditions are derived which lead to a set of coupled boundary conditions due to nonlocal effects.
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收藏
页码：1737 / 1741
页数：5
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