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

作　　者：S.R.MAHMOUD A.M.ABD-ALLA 

机构地区：[1]Department of Mathematics,Science Faculty,King Abdulaziz University,Jeddah 21589,Saudi Arabia [2]Department of Mathematics,Science Faculty,Sohag University,Sohag 82524,Egypt

出　　处：《Applied Mathematics and Mechanics(English Edition)》2014年第8期1051-1066,共16页应用数学和力学（英文版）

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. Compar-isons 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.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. Compar-isons 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.

关 键 词：magnetic field elastodynamic ORTHOTROPIC free vibration hollow sphere 

分 类 号：O32[理学—一般力学与力学基础]