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

Abstract

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.

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

“…Sharma et al [27] studied free vibration analysis of a viscothermoelastic solid sphere. Abd-Alla et al [28][29][30][31][32][33] investigated problem of radial and free vibrations in non-homogeneity cylinder under influence of initial stress rotation and magnetic field. Ozsahin and Taskner [34] investigated contact problem for an elastic layer on an elastic half plane.…”

An Analytical Solution for Effect of Magnetic Field and Initial Stress on an Infinite Generalized Thermoelastic Rotating Nonhomogeneous Diffusion Medium

“…The temperaturerate dependent theory of thermoelasticity, which takes into account two relaxation times, was developed by Green and Lindsay [16]. Abd-Alla et al [17,18] investigated radial vibrations in a nonhomogeneous orthotropic elastic medium subjected to rotation and gravity field. Sherief et al [19] developed the generalized theory of thermoelastic diffusion with one relaxation time, which allows the finite speed of propagation waves.…”