Bending vibrations of rotating nonuniform nanocantilevers using the Eringen nonlocal elasticity theory

被引：123
作者：
Aranda-Ruiz, J. [1 ]
Loya, J. [1 ]
Fernandez-Saez, J. [1 ]
机构：
[1] Univ Carlos III Madrid, Dept Continuum Mech & Struct Anal, Madrid 28911, Spain
来源：
COMPOSITE STRUCTURES | 2012年 / 94卷 / 09期
关键词：
Nonlocal elasticity; Free vibrations; Rotation; Small scale effects; LONGITUDINAL VIBRATION; NONPRISMATIC BEAM;
D O I：
10.1016/j.compstruct.2012.03.033
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The natural frequencies of the flapwise bending vibrations of a nonuniform rotating nanocantilever has been calculated, considering the true spatial variation of the axial force due to the rotation. The area of the nanobeam cross-section is assumed to change linearly. The problem has been formulated using the nonlocal Eringen elasticity theory and it was solved by a pseudo-spectral collocation method based on Chebyshev polynomials. The effect of the nonlocal small-scale, angular speed, nonuniformity of the section and hub radius on the vibration behavior of the nanocantilever is discussed. (C) 2012 Elsevier Ltd. All rights reserved.
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页码：2990 / 3001
页数：12
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