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Analytical solution of heat conduction of a multilayered annular disk and associated thermal deflection and thermal stresses
Journal of Thermal Stresses ( IF 2.8 ) Pub Date : 2020-03-24 , DOI: 10.1080/01495739.2020.1735975
V. R. Manthena 1 , V. B. Srinivas 2 , G. D. Kedar 3
Affiliation  

Abstract In this article, a three dimensional multilayered annular disk with internal heat generation under unsteady temperature distribution is considered. Finite integral transform method is used to eliminate the partial derivatives with respect to r, while Fourier series and Fourier transform are used to deal with the variables and z, respectively. Exact solution for the temperature distribution is obtained. The thermal bending moments, thermal deflection and the resulting thermal stresses are obtained and analyzed. The results obtained in series form are numerically evaluated and analyzed by using graphical illustrations.

中文翻译:

多层环形盘的热传导及相关热变形和热应力的解析解

摘要 本文研究了一种在非定常温度分布下内部发热的三维多层环形圆盘。有限积分变换方法用于消除关于r的偏导数,而傅里叶级数和傅里叶变换分别用于处理变量和z。获得了温度分布的精确解。获得并分析了热弯矩、热变形和由此产生的热应力。通过使用图形说明对以系列形式获得的结果进行数值评估和分析。
更新日期:2020-03-24
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