Uniform stability result of laminated beams with thermoelasticity of type Ⅲ
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 expone...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023054?viewType=HTML |
| _version_ | 1811257383367737344 |
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| author | Tijani A. Apalara Aminat O. Ige Cyril D. Enyi Mcsylvester E. Omaba |
| author_facet | Tijani A. Apalara Aminat O. Ige Cyril D. Enyi Mcsylvester E. Omaba |
| author_sort | Tijani A. Apalara |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T17:55:37Z |
| format | Article |
| id | doaj.art-739150c099474d448eb7fa506e8d6138 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-12T17:55:37Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-739150c099474d448eb7fa506e8d61382022-12-22T03:22:21ZengAIMS PressAIMS Mathematics2473-69882023-01-01811090110110.3934/math.2023054Uniform stability result of laminated beams with thermoelasticity of type ⅢTijani A. Apalara0Aminat O. Ige 1Cyril D. Enyi 2Mcsylvester E. Omaba31. Department of Mathematics, University of Hafr Al-Batin (UHB), Hafr Al-Batin 31991, Saudi Arabia2. Department of Mathematics, Lagos State University (LASU), Ojo 102101, Nigeria1. Department of Mathematics, University of Hafr Al-Batin (UHB), Hafr Al-Batin 31991, Saudi Arabia1. Department of Mathematics, University of Hafr Al-Batin (UHB), Hafr Al-Batin 31991, Saudi ArabiaIn 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.https://www.aimspress.com/article/doi/10.3934/math.2023054?viewType=HTMLlaminated beamsthermoelasticity type ⅲuniform stabilitymultiplier techniquestructural dampingwave speeds |
| spellingShingle | Tijani A. Apalara Aminat O. Ige Cyril D. Enyi Mcsylvester E. Omaba Uniform stability result of laminated beams with thermoelasticity of type Ⅲ AIMS Mathematics laminated beams thermoelasticity type ⅲ uniform stability multiplier technique structural damping wave speeds |
| title | Uniform stability result of laminated beams with thermoelasticity of type Ⅲ |
| title_full | Uniform stability result of laminated beams with thermoelasticity of type Ⅲ |
| title_fullStr | Uniform stability result of laminated beams with thermoelasticity of type Ⅲ |
| title_full_unstemmed | Uniform stability result of laminated beams with thermoelasticity of type Ⅲ |
| title_short | Uniform stability result of laminated beams with thermoelasticity of type Ⅲ |
| title_sort | uniform stability result of laminated beams with thermoelasticity of type iii |
| topic | laminated beams thermoelasticity type ⅲ uniform stability multiplier technique structural damping wave speeds |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023054?viewType=HTML |
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