Analysis of Thermal-Bending Stresses in a Simply Supported Annular Sector Plate

Journal of Solid Mechanics

مقاله 3، دوره 11، شماره 4، اسفند 2019، صفحه 724-735   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.22034/jsm.2019.566121.1275

نویسندگان

T Dhakate¹؛ V Varghese^{* 2}؛ L Khalsa¹

¹Department of Mathematics, Mahatma Gandhi Science College, Armori, Gadchiroli, India

²Department of Mathematics, Sushilabai Bharti Science College, Arni, Yavatmal, India

چکیده

The present article deals with the analysis of thermal-bending stresses in a heated thin annular sector plate with simply supported boundary condition under transient temperature distribution using Berger’s approximate methods. The sectional heat supply is on the top face of the plate whereas the bottom face is kept at zero temperature. In this study, the solution of heat conduction is obtained by the classical method. The thermal moment is derived on the basis of temperature distribution, and its stresses are obtained using thermally induce resultant moment and resultant forces. The numerical calculations are obtained for the aluminium plate in the form of an infinite series involving Bessel functions, and the results for temperature, deflection, resultant bending moments and thermal stresses have been illustrated graphically with the help of MATHEMATICA software.

کلیدواژه‌ها

Heat conduction؛ Annular sector؛ Thin plate؛ Thermal deflection؛ Stresses

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