Journal of Mechanical Science and Technology

, Volume 26, Issue 3, pp 917–926 | Cite as

Analytical solution of wave propagation in a non-homogeneous orthotropic rotating elastic media

Article
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Abstract

In this paper, the natural frequencies of the radial vibrations of a hollow cylinder and hollow sphere with different boundary conditions under influences of rotation and non-homogeneity have been studied. The radial vibrations of orthotropic material as affected by the angular velocity are investigated on the basis of the linear theory of elasticity. The of elastodynamic equations have been solved in analytical form. Numerical results are given and illustrated graphically for each case. Comparisons are made with previous results which given in the absence of rotation and non-homogeneity. The results indicate that the effect of rotation and non-homogeneity is very pronounced.

Keywords

Wave propagation Elastodynamics Rotation Non-homogeneous Orthotropic material 
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Copyright information

© The Korean Society of Mechanical Engineers and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceTaif UniversityTaifSaudi Arabia
  2. 2.Department of Mathematics, Faculty of ScienceKing Abdul Aziz UniversityJeddahSaudi Arabia
  3. 3.Mathematics Department, Faculty of ScienceSohag UniversitySohagEgypt

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