|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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