Vibration and buckling analysis of nanotubes (nanofibers) embedded in an elastic medium using Doublet Mechanics
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Dosyalar
Tarih
2018
Yazarlar
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
