Abstract
Objective: To investigate the free vibrations in a rotating elastic hollow solid sphere. Method: The method of plane harmonic solution is employed to solve the basic governing equations of rotating elastic solid. Findings: Three types of frequency equations named as coupled frequency (CF) (Radial and tangential) equations, radial frequency (RF) equation and tangential frequency (TF) equations are derived. Novelty: Under the MATLAB program, the numerical computations have been performed for a particular material. Frequency versus angle is shown graphically for rotating and non-rotating material. TF and CF curves are inverse proportional to the angular rotation. Coupled frequencies are slower than the tangential frequencies. Keywords: Free Vibrations; Rotation; Hollow sphere; Radial frequencies; Tangential frequencies and Coupled Frequencies
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