Authors: Cajić, Milan 
Lazarević, Mihailo
Karličić, Danilo 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Nonlocal frequency analysis of a nanobeam under axial magnetic field using finite element method
First page: 1
Last page: 7
Conference: Electronic 8th GRACM International Congress in Computational Mechanics
Issue Date: 2015
Rank: M30
ISBN: 978-960-9439-36-7
URL: http://8gracm.mie.uth.gr/Papers/Session%20D1-E0/M.%20Lazarevic.pdf
Abstract: 
In this paper, we analyze the free transverse vibration of a nanobeam model representing the carbon nanotube that is subjected to the influence of longitudinal magnetic field. Governing equation of a nanobeam is derived employing the nonlocal elasticity theory of Eringen, Euler-Bernoulli beam theory and Maxwell classical equations. Solution for natural frequencies of a nanobeam is proposed by using the finite element method. Influences of nonlocal parameter and the magnitude of magnetic field on dimensionless natural frequencies are investigated through several numerical examples.
Project: Dynamics of hybrid systems with complex structures. Mechanics of materials. 

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