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Influence of magnetic field on free vibrations in elastodynamic problem of orthotropic hollow sphere

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  • 1. Department of Mathematics, Science Faculty, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
    2. Department of Mathematics, Science Faculty, Sohag University, Sohag 82524, Egypt

Received date: 2013-08-28

  Revised date: 2013-12-16

  Online published: 2014-08-01

Abstract

The effect of magnetic field on the plane vibrations for an elastodynamic orthotropic sphere is studied. Equations of elastodynamic problems of the orthotropic hollow sphere in terms of displacement are solved. The numerical results of the frequency equations in the presence of magnetic field are discussed and shown graphically. Comparisons are made with the result in the presence and absence of magnetic field in the case of orthotropic sphere. The results show that the effect of magnetic field is very pronounced.

Cite this article

S. R. MAHMOUD;A. M. ABD-ALLA . Influence of magnetic field on free vibrations in elastodynamic problem of orthotropic hollow sphere[J]. Applied Mathematics and Mechanics, 2014 , 35(8) : 1051 -1066 . DOI: 10.1007/s10483-014-1841-7

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