Wave propagation of functionally graded porous nanobeams based on non-local strain gradient theory

被引：106
|
作者：
She, Gui-Lin [1 ]
Yan, Kun-Ming [2 ]
Zhang, Yan-Long [1 ]
Liu, Hai-Bo [1 ]
Ren, Yi-Ru [1 ]
机构：
[1] Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China
[2] China Aviat Changsha Design & Res Co Ltd, Changsha 410018, Hunan, Peoples R China
来源：
EUROPEAN PHYSICAL JOURNAL PLUS | 2018年 / 133卷 / 09期
基金：
中国国家自然科学基金;
关键词：
COUPLE STRESS THEORY; SIZE-DEPENDENT VIBRATION; SHEAR DEFORMATION-THEORY; EULER-BERNOULLI; INTEGRAL MODEL; BEAM THEORY; NONLINEAR VIBRATION; BOUNDARY-CONDITIONS; ELASTICITY THEORY; TIMOSHENKO BEAMS;
D O I：
10.1140/epjp/i2018-12196-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, attention is paid to the prediction of wave propagation behaviors of functionally graded materials (FG) porous nanobeams based on Reddy's higher-order shear deformation beam theory in conjunction with the non-local strain gradient theory. The governing equations of the porous nanobeams are derived with the help of the Hamilton principle. By solving an eigenvalue problem, the analytic dispersion relation is obtained. The results of Euler-Bernoulli beam and Timoshenko beam models are also presented. The influences of non-local parameter, strain gradient parameter, power law index and porosity volume fraction on the wave propagation are discussed in detail.
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页数：9
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