An Analysis of Thermal-Bending Stresses in a Simply Supported Thin Elliptical Plate
In this paper, a transient thermal stress investigation on a simply supported thin elliptical plate during sectional heating with time-dependent temperature supply is considered. The solution of heat conduction equation with corresponding initial and boundary conditions is obtained by employing an i...
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Shahid Chamran University of Ahvaz
2018-10-01
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doaj-53d2d11267714fa28e3dd08899986b152020-11-24T21:48:39ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362383-45362018-10-014429930910.22055/jacm.2018.24352.118513400An Analysis of Thermal-Bending Stresses in a Simply Supported Thin Elliptical PlateVinod Varghese0Department of Mathematics, Smt. Sushilabai Rajkamalji Bharti Science College, Arni, Yavatmal, India.In this paper, a transient thermal stress investigation on a simply supported thin elliptical plate during sectional heating with time-dependent temperature supply is considered. The solution of heat conduction equation with corresponding initial and boundary conditions is obtained by employing an integral transform approach. The governing equation solution for the small deflection theory is obtained and utilized to preserve the intensities of thermal bending moments, involving the Mathieu and modified functions and its derivatives. The deflection results show an approximately good agreement with the previously given results. It is also demonstrated that the temperature field in a circular solution could be resulted in a particular case of the present mathematical solution. The obtained numerical results utilizing computational implements are precise enough for practical purposes.http://jacm.scu.ac.ir/article_13400_fe6c1cfdace19d93c773a6c4882acc46.pdfElliptical solid plateTemperature distributionThermal stressesElliptical coordinateIntegral transformMathieu function |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Vinod Varghese |
spellingShingle |
Vinod Varghese An Analysis of Thermal-Bending Stresses in a Simply Supported Thin Elliptical Plate Journal of Applied and Computational Mechanics Elliptical solid plate Temperature distribution Thermal stresses Elliptical coordinate Integral transform Mathieu function |
author_facet |
Vinod Varghese |
author_sort |
Vinod Varghese |
title |
An Analysis of Thermal-Bending Stresses in a Simply Supported Thin Elliptical Plate |
title_short |
An Analysis of Thermal-Bending Stresses in a Simply Supported Thin Elliptical Plate |
title_full |
An Analysis of Thermal-Bending Stresses in a Simply Supported Thin Elliptical Plate |
title_fullStr |
An Analysis of Thermal-Bending Stresses in a Simply Supported Thin Elliptical Plate |
title_full_unstemmed |
An Analysis of Thermal-Bending Stresses in a Simply Supported Thin Elliptical Plate |
title_sort |
analysis of thermal-bending stresses in a simply supported thin elliptical plate |
publisher |
Shahid Chamran University of Ahvaz |
series |
Journal of Applied and Computational Mechanics |
issn |
2383-4536 2383-4536 |
publishDate |
2018-10-01 |
description |
In this paper, a transient thermal stress investigation on a simply supported thin elliptical plate during sectional heating with time-dependent temperature supply is considered. The solution of heat conduction equation with corresponding initial and boundary conditions is obtained by employing an integral transform approach. The governing equation solution for the small deflection theory is obtained and utilized to preserve the intensities of thermal bending moments, involving the Mathieu and modified functions and its derivatives. The deflection results show an approximately good agreement with the previously given results. It is also demonstrated that the temperature field in a circular solution could be resulted in a particular case of the present mathematical solution. The obtained numerical results utilizing computational implements are precise enough for practical purposes. |
topic |
Elliptical solid plate Temperature distribution Thermal stresses Elliptical coordinate Integral transform Mathieu function |
url |
http://jacm.scu.ac.ir/article_13400_fe6c1cfdace19d93c773a6c4882acc46.pdf |
work_keys_str_mv |
AT vinodvarghese ananalysisofthermalbendingstressesinasimplysupportedthinellipticalplate AT vinodvarghese analysisofthermalbendingstressesinasimplysupportedthinellipticalplate |
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1725890982291963904 |