An Exact Solution for Vibration Analysis of Soft Ferromagnetic Rectangular Plates Under the Influence of Magnetic Field with Levy Type Boundary Conditions

Subject Areas : Engineering

S.A Mohajerani ¹ , A Mohammadzadeh ² , M Nikkhah Bahrami ³

1 - Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
2 - Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
3 - Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

Received: 2016-12-09 Accepted : 2017-02-08 Published : 2017-03-30

Keywords: magnetic field, Free vibration, Exact solution, Ferromagnetic plate, Levy type,

Abstract :

In this paper vibration of ferromagnetic rectangular plates which are subjected to an inclined magnetic field is investigated based on classical plate theory and Maxwell equations. Levy type solution and Finite element method using Comsol software are used to obtain the frequency of the plate subjected to different boundary conditions, good agreements is obtained when computed results are compared with those obtained by Comsol software, the results have shown that the frequency of the plates increases with the magnetic field and the effect of magnetic field is similar to the Winkler’s foundation.

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