Uniform stability result of laminated beams with thermoelasticity of type Ⅲ-Reference-Cited by-同舟云学术

Uniform stability result of laminated beams with thermoelasticity of type Ⅲ

Published:2023 Issue:1 Volume:8 Page:1090-1101
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Apalara Tijani A.¹,Ige Aminat O.²,Enyi Cyril D.¹,Omaba Mcsylvester E.¹

Affiliation:

1. Department of Mathematics, University of Hafr Al-Batin (UHB), Hafr Al-Batin 31991, Saudi Arabia

2. Department of Mathematics, Lagos State University (LASU), Ojo 102101, Nigeria

Abstract

<abstract><p>In this work, we study the effect of heat conduction theories pioneered by Green and Naghdi, popularly called thermoelasticity of type Ⅲ, on the stability of laminated Timoshenko beams. Without the structural (interfacial slip) damping or any other forms of damping mechanisms, we establish an exponential stability result depending on the equality of wave velocities of the system. Our work shows that the thermal effect is strong enough to stabilize the system exponentially without any additional internal or boundary dampings. The result extends some of the developments in literature where structural damping (in addition to some internal or boundary dampings) is necessary to bring about exponential stability.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference34 articles.

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2. A. E. Green, P. M. Naghdi, On undamped heat waves in an elastic solid, J. Therm. Stress., 15 (1992), 253–264. https://doi.org/10.1080/01495739208946136

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4. T. A. Apalara, On the stability of some systems of thermoelasticity of type Ⅲ, Ph.D thesis, King Fahd University of Petroleum and Minerals, 2013.

5. S. W. Hansen, R. D. Spies, Structural damping in laminated beams due to interfacial slip, J. Sound Vibr., 204 (1997), 183–202. https://doi.org/10.1006/jsvi.1996.0913

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