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Meccanica
Erschienen in: Meccanica 6/2015

01.06.2015

Nonlocal effects on the longitudinal vibration of a complex multi-nanorod system subjected to the transverse magnetic field

verfasst von: Danilo Karličić, Milan Cajić, Tony Murmu, Predrag Kozić, Sondipon Adhikari

Erschienen in: Meccanica | Ausgabe 6/2015

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Abstract

In this communication we examine the free longitudinal vibration of a complex multi-nanorod system (CMNRS) using the nonlocal elasticity theory. Discussion is limited to the cases of two types of boundary conditions, namely, clamped–clamped (C–C) and clamped–free (C–F), where nanorods are coupled in the “Free-Chain” system by an elastic medium. Each nanorod in CMNRS is subjected to the influence of transversal magnetic field. The longitudinal vibration of the system are described by a set of m partial differential equations, derived by using D’Alembert’s principle and classical Maxwell’s relation, which includes Lorentz magnetic force. Analytical expressions for the nonlocal natural frequencies are obtained in closed-form by using the method of separations of variables and trigonometric method. Results for the nonlocal natural frequencies are compared for the special cases of a single and double-nanorod system with the existing results in the literature. Numerical examples are given in order to examine the effects of nonlocal parameter, stiffness coefficient and transversal magnetic field on nonlocal natural frequencies of axially vibrating CMNRS.
Vorheriger Artikel A study of the residual stress induced by shot peening for an isotropic material based on Prager’s yield criterion for combined stresses
Nächster Artikel A new finite element approach for the analysis of slewing bearings in wind turbine generators using superelement techniques

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Metadaten
Titel
Nonlocal effects on the longitudinal vibration of a complex multi-nanorod system subjected to the transverse magnetic field
verfasst von
Danilo Karličić
Milan Cajić
Tony Murmu
Predrag Kozić
Sondipon Adhikari
Publikationsdatum
01.06.2015
Verlag
Springer Netherlands
Erschienen in
Meccanica / Ausgabe 6/2015
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-015-0111-6

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