A nonlocal sinusoidal shear deformation beam theory with application to bending, buckling, and vibration of nanobeams

被引：242

作者：

Thai, Huu-Tai ^{[1
]}

Vo, Thuc P. ^{[2
,3
]}

机构：

[1] Hanyang Univ, Dept Civil & Environm Engn, Seoul 133791, South Korea

[2] Glyndwr Univ, Sch Engn, Wrexham LL11 2AW, Wales

[3] Glyndwr Univ, Adv Composite Training & Dev Ctr, Deeside CH5 3US, Flint, Wales

来源：

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2012年 / 54卷

关键词：

Nonlocal theory; Sinusoidal theory; Bending; Buckling; Vibration; Nanobeam; WALLED CARBON NANOTUBES; GRADED SANDWICH PLATES; COMPREHENSIVE ANALYSIS; CONTINUUM-MECHANICS; ELASTICITY; MODELS;

D O I：

10.1016/j.ijengsci.2012.01.009

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper presents a nonlocal sinusoidal shear deformation beam theory for the bending, buckling, and vibration of nanobeams. The present model is capable of capturing both small scale effect and transverse shear deformation effects of nanobeams, and does not require shear correction factors. Based on the nonlocal differential constitutive relations of Eringen, the equations of motion as well as the boundary conditions of the beam are derived using Hamilton's principle. Analytical solutions for the deflection, buckling load, and natural frequency are presented for a simply supported beam, and the obtained results are compared with those predicted by the nonlocal Timoshenko beam theory. The comparison firmly establishes that the present beam theory can accurately predict the bending, buckling, and vibration responses of short nanobeams where the small scale and transverse shear deformation effects are significant. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：58 / 66

页数：9

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