Longitudinal vibrations of nano-rods by stress-driven integral elasticity

被引：111

作者：

Barretta, R. ^{[1
]}

Faghidian, S. Ali ^{[2
]}

Luciano, R. ^{[3
]}

机构：

[1] Univ Naples Federico II, Dept Struct Engn & Architecture, Naples, Italy

[2] Islamic Azad Univ, Sci & Res Branch, Dept Mech & Aerosp Engn, Tehran, Iran

[3] Univ Cassino & Southern Lazio, Dept Civil & Mech Engn, Via Biasio 43, I-03043 Cassino, FR, Italy

来源：

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2019年 / 26卷 / 15期

关键词：

Free vibrations; stress-driven nonlocal integral elasticity; strain gradient elasticity; Hellinger-Reissner variational principle; nano-rod; CNT; NEMS; NONLOCAL ELASTICITY; GRADIENT ELASTICITY; CONSTITUTIVE MODELS; NANOBEAMS; BERNOULLI; BEAMS;

D O I：

10.1080/15376494.2018.1432806

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In elastic continuous structures defined on bounded domains, Eringen strain-driven integral model leads to ill-posed elastostatic problems since the constitutive stress field, got by convoluting the elastic strain field with an averaging kernel, conflicts with equilibrium requirements. The innovative stress-driven integral model, recently proposed in literature, is instead able to overcome inconsistencies of Eringen theory. In the present paper, size-dependent free vibrations of nano-rods are investigated by adopting the stress-driven nonlocal model equipped with Helmholtz kernel. Natural frequencies and mode shapes of nano-rods are established by an effective analytical solution strategy and are compared with those obtained by strain gradient theory.

引用

页码：1307 / 1315

页数：9

共 42 条

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