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

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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.

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Authors and Affiliations

  1. Department of Mathematics, Science Faculty, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    S. R. Mahmoud

  2. Department of Mathematics, Science Faculty, Sohag University, Sohag, 82524, Egypt

    S. R. Mahmoud & A. M. Abd-Alla

Authors
  1. S. R. Mahmoud
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  2. A. M. Abd-Alla
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Correspondence to S. R. Mahmoud.

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Mahmoud, S.R., Abd-Alla, A.M. Influence of magnetic field on free vibrations in elastodynamic problem of orthotropic hollow sphere. Appl. Math. Mech.-Engl. Ed. 35, 1051–1066 (2014). https://doi.org/10.1007/s10483-014-1841-7

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  • DOI: https://doi.org/10.1007/s10483-014-1841-7

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2010 Mathematics Subject Classification

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