On Free Vibrations of Elastodynamic Problem in Rotating Non-Homogeneous Orthotropic Hollow Sphere

The effect of non-homogenity and rotation on the free vibrations for elastodynamic problem of orthotropic hollow sphere is discussed. The free vibrations are studied on the basis of the linear elasticity. The determination is concerned with the eigenvalues of the natural frequency for mixed boundary...

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Bibliographic Details
Published in:Mathematical problems in engineering 2013-01, Vol.2013 (2013), p.1-11
Main Authors: Al-Basyouni, K. S., Ali, S. I., Marin, Marin, Mahmoud, S. R.
Format: Article
Language:English
Subjects:
Applied mathematics
Boundary conditions
Composite materials
Computer simulation
Eigenvalues
Elasticity
Elastodynamics
Engineering
Free vibration
Gravity
Influence
Information storage
Mathematical analysis
Mathematical models
Mathematical problems
Porous materials
Propagation
Resonant frequency
Rotating matter
Rotating spheres
Science
Studies
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Summary:The effect of non-homogenity and rotation on the free vibrations for elastodynamic problem of orthotropic hollow sphere is discussed. The free vibrations are studied on the basis of the linear elasticity. The determination is concerned with the eigenvalues of the natural frequency for mixed boundary conditions. The numerical results of the frequency equations are discussed in the presence and absence of non-homogenity and rotation. The computer simulated results indicate that the influence of non-homogenity and rotation in orthotropic material is pronounced.
ISSN:1024-123X
1563-5147
DOI:10.1155/2013/250567