Indian Journal of Science and Technology
Year: 2022, Volume: 15, Issue: 42, Pages: 2252-2258
K Somaiah1, K Narasimharao2*, A Ravi Kumar3, R Srinivas4
1Department of Mathematics, Kakatiya University, Warangal, 506009, Telangana, India
2Department of Mathematics, Government Degree College for Women, Khammam, 507003,
3Department of Mathematics, Satavahana University, Karimnagar, 505002, Telangana, India
4Information Technology Department, University of Technology and Applied Sciences-Nizwa, 611, Oman
Email: [email protected]
Received Date:03 August 2022, Accepted Date:06 October 2022, Published Date:14 November 2022
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
© 2022 Somaiah et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)
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