Free vibration of a thermoelastic hollow cylinder with one relaxation time-Reference-Cited by-同舟云学术

Free vibration of a thermoelastic hollow cylinder with one relaxation time

Published:2015-10 Issue:10 Volume:93 Page:1082-1087
ISSN:0008-4204
Container-title:Canadian Journal of Physics
language:en
Short-container-title:Can. J. Phys.

Author:

Abbas Ibrahim A.¹²³,Hobiny Aatef D.⁴

Affiliation:

1. Department of Mathematics, Faculty of Science and Arts - Khulais, University Of Jeddah, Saudi Arabia.

2. Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia.

3. Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt.

4. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.

Abstract

The aim of this paper is to study the free vibration problem of a thermoelastic hollow cylinder in the context of the Lord and Shulman theory with one relaxation time. The eigenvalue approach is used to get the analytical solutions. The dispersion relations for the existence of various types of possible modes of vibrations are obtained. The validation of the roots for the dispersion relation is presented. The numerical results of frequency shift, natural frequency, and thermoelastic damping of vibrations have been presented graphically.

Publisher

Canadian Science Publishing

Subject

General Physics and Astronomy

Link

http://www.nrcresearchpress.com/doi/pdf/10.1139/cjp-2014-0583

Reference38 articles.

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