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

被引：7
作者：
Mahmoud, S. R. [1 ,2 ]
Abd-Alla, A. M. [2 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
[2] Sohag Univ, Dept Math, Fac Sci, Sohag 82524, Egypt
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2014年 / 35卷 / 08期
关键词：
magnetic field; elastodynamic; orthotropic; free vibration; hollow sphere; RADIAL VIBRATIONS; WAVE-PROPAGATION; INITIAL STRESS; HALF-SPACE; TRANSIENT-RESPONSES; GRAVITY-FIELD; ROTATION; CYLINDER; NONHOMOGENEITY; MOTION;
D O I：
10.1007/s10483-014-1841-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：1051 / 1066
页数：16
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