Radial Vibrations in a Non-Homogeneous Orthotropic Elastic Hollow Sphere Subjected to Rotation

In the present paper, the effect of the rotation and non-homogeneous on the wave propagation in orthotropic material is discussed on the basis of the linear theory of elasticity. The one-dimensional equation of elastodynamic is solved in terms of radial displacement. Three different boundary are considered, namely the free, fixed and mixed orthotropic material. The determination is concerned with the eigenvalues of the natural frequency of the radial vibrations for different boundary conditions in the case of harmonic vibrations. Numerical results are given and illustrated graphically for each case considered. Comparisons are made with the results in the absence of rotation and non-homogeneity.