Thermoelastic vibrations in a thin elliptic annulus plate with elastic supports
ABSTRACT: In this study, integral operational methods are used to investigate the thermally induced transverse vibration of a thin elliptic annulus plate with elastic supports at both radial boundaries. The axisymmetric temperature distribution is determined by the heat conduction differential equat...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2018-01-01
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| Series: | Theoretical and Applied Mechanics Letters |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2095034918300667 |
| _version_ | 1819133501719445504 |
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| author | Vinod Varghese Tara Dhakate Lalsingh Khalsa |
| author_facet | Vinod Varghese Tara Dhakate Lalsingh Khalsa |
| author_sort | Vinod Varghese |
| collection | DOAJ |
| description | ABSTRACT: In this study, integral operational methods are used to investigate the thermally induced transverse vibration of a thin elliptic annulus plate with elastic supports at both radial boundaries. The axisymmetric temperature distribution is determined by the heat conduction differential equation and its corresponding boundary conditions by employing a unified integral transform technique by use of Mathieu functions and modified Mathieu functions. The solution of thermally induced vibration of the plate with both ends encased with elastic supports is obtained by employing an integral transform for double Laplace differential equation. The thermal moment is derived on the basis of temperature distribution, and its stresses are obtained based on resultant bending moments per unit width. The numerical calculations of the distributions of the transient temperature and its associated stress distributions are shown in the figures. Keywords: Thermoelastic vibrations, Elliptic annulus plate, Elastic supports, Heat conduction, Thermal stresses, Integral transform |
| first_indexed | 2024-12-22T09:48:18Z |
| format | Article |
| id | doaj.art-fdaa2424487d4d45b7376b6a6c7baa6d |
| institution | Directory Open Access Journal |
| issn | 2095-0349 |
| language | English |
| last_indexed | 2024-12-22T09:48:18Z |
| publishDate | 2018-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Theoretical and Applied Mechanics Letters |
| spelling | doaj.art-fdaa2424487d4d45b7376b6a6c7baa6d2022-12-21T18:30:28ZengElsevierTheoretical and Applied Mechanics Letters2095-03492018-01-01813242Thermoelastic vibrations in a thin elliptic annulus plate with elastic supportsVinod Varghese0Tara Dhakate1Lalsingh Khalsa2Department of Mathematics, Smt Sushilabai Rajkamalji Bharti Science College, Arni, Yavatmal, IndiaDepartment of Mathematics, Mahatma Gandhi Science College, Armori, Gadchiroli, India; Corresponding authorDepartment of Mathematics, Mahatma Gandhi Science College, Armori, Gadchiroli, IndiaABSTRACT: In this study, integral operational methods are used to investigate the thermally induced transverse vibration of a thin elliptic annulus plate with elastic supports at both radial boundaries. The axisymmetric temperature distribution is determined by the heat conduction differential equation and its corresponding boundary conditions by employing a unified integral transform technique by use of Mathieu functions and modified Mathieu functions. The solution of thermally induced vibration of the plate with both ends encased with elastic supports is obtained by employing an integral transform for double Laplace differential equation. The thermal moment is derived on the basis of temperature distribution, and its stresses are obtained based on resultant bending moments per unit width. The numerical calculations of the distributions of the transient temperature and its associated stress distributions are shown in the figures. Keywords: Thermoelastic vibrations, Elliptic annulus plate, Elastic supports, Heat conduction, Thermal stresses, Integral transformhttp://www.sciencedirect.com/science/article/pii/S2095034918300667 |
| spellingShingle | Vinod Varghese Tara Dhakate Lalsingh Khalsa Thermoelastic vibrations in a thin elliptic annulus plate with elastic supports Theoretical and Applied Mechanics Letters |
| title | Thermoelastic vibrations in a thin elliptic annulus plate with elastic supports |
| title_full | Thermoelastic vibrations in a thin elliptic annulus plate with elastic supports |
| title_fullStr | Thermoelastic vibrations in a thin elliptic annulus plate with elastic supports |
| title_full_unstemmed | Thermoelastic vibrations in a thin elliptic annulus plate with elastic supports |
| title_short | Thermoelastic vibrations in a thin elliptic annulus plate with elastic supports |
| title_sort | thermoelastic vibrations in a thin elliptic annulus plate with elastic supports |
| url | http://www.sciencedirect.com/science/article/pii/S2095034918300667 |
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