Free vibrations of Bernoulli-Euler nano-beams by the stress-driven nonlocal integral model

被引：229

作者：

Apuzzo, Andrea ^{[1
]}

Barretta, Raffaele ^{[2
]}

Luciano, Raimondo ^{[1
]}

de Sciarra, Francesco Marotti ^{[2
]}

Penna, Rosa ^{[3
]}

机构：

[1] Univ Cassino & Southern Lazio, Dept Civil & Mech Engn, Via G Biasio 43, Cassino, Italy

[2] Univ Naples Federico II, Dept Struct Engn & Architecture, Via Claudio 21, Naples, Italy

[3] Univ Salerno, Dept Civil Engn, Fisciano, Italy

来源：

COMPOSITES PART B-ENGINEERING | 2017年 / 123卷

关键词：

Nano-structures; Elasticity; Free vibrations; NEMS; CLOSED-FORM SOLUTION; DYNAMIC INSTABILITY; CARBON NANOTUBES; GRADIENT; ELASTICITY; NANOBEAMS; PROGRESS;

D O I：

10.1016/j.compositesb.2017.03.057

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Nonlocal theories of Continuum Mechanics are widely used in order to assess size effects in nano structures. In this paper, free vibrations of nano-beams are investigated by making recourse to the novel stress-driven nonlocal integral model (SDM). Equations of motion governing the dynamics of a Bernoulli-Euler nano-beam are consistently formulated and numerically integrated by Matlab. Selected case studies involving structures of nanotechnological interest are examined. Natural frequencies, evaluated according to the SDM, are compared with those obtained by the Eringen differential law (EDM) and by the gradient elasticity theory (GradEla). SDM provides an effective methodology to describe nonlocal phenomena in NEMS. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：105 / 111

页数：7

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