Analysis of rigidly fixed vibrations of nonlocal isotropic thermoelastic sphere with voids

The present paper has been concerned with the exact analysis of homogeneous rigidly fixed vibrations of nonlocal thermo-elastic hollow sphere with voids. The time-harmonics has been employed to convert governing equations to ordinary differential equations. Elimination of simultaneous differential equations has been resulted in displacement, temperature,voids concentration and stresses. For rigidly fixed thermal boundary conditions, the frequency equation for the prolongation of vibrations with respect to mode numbers in the specified sphere is obtained in closed form. To investigate vibration analysis using frequency equations, we use Matlab software to generate data using the numerical iteration method. The frequency shift and damping are numerically computed and the simulated results are represented graphically.