Vibration and buckling analysis of nanotubes (nanofibers) embedded in an elastic medium using Doublet Mechanics

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Küçük Resim

Tarih

2018

Dergi Başlığı

Dergi ISSN

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Yayıncı

Springer

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In the present study, vibration and buckling of nanotubes (nanofibers) embedded in an elastic medium are studied. A length scale-dependent theory called Doublet Mechanics (DM) is used in the formulation. In this theory, discrete microstructure of solids is considered in the formulation and using a bottom-up approach macro level strains and stresses are obtained from microlevel strains and stresses. Taylor series expansion of the microlevel displacement is used in the definition of the micro strains. The number of terms in the Taylor series describes the microstructure of the considered solids. In this study, nanotube fibers are assumed as an Euler-Bernoulli beam embedded in an elastic medium. Simply supported and clamped boundary conditions are considered at the edges of the beams. Free vibration frequencies and critical buckling loads are obtained and compared with the classical elasticity results. It is shown that scale-dependent DM can be used at the nanolength scale.

Açıklama

Conference on Emerging Trends in Applied Mathematics and Mechanics (ETAMM) -- MAY 30-JUN 03, 2016 -- Perpignan, FRANCE

Anahtar Kelimeler

Buckling, Doublet Mechanics, Elastic medium, Nanotube, Vibration, Walled Carbon Nanotubes, Continuum Theory, Composites, Dynamics, Beam

Kaynak

Journal of Engineering Mathematics

WoS Q Değeri

Q3

Scopus Q Değeri

Q2

Cilt

109

Sayı

1

Künye