Thermal bending of a strip and a rectangular plate with coordinate-dependent heat exchange coefficients

被引：0
|
作者：
Khapko B.S. [1 ]
Chyzh A.I. [1 ]
机构：
[1] Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv
来源：
Journal of Mathematical Sciences | 2011年 / 174卷 / 3期
关键词：
Heat Exchange; Rectangular Plate; Quadrature Formula; External Medium; Fredholm Integral Equation;
D O I：
10.1007/s10958-011-0305-y
中图分类号：
学科分类号：
摘要：
The thermal bending of a simply supported strip and a rectangular plate caused by a difference between the temperatures of the surroundings on the faces and the coordinate-dependent heat exchange coefficients on them are investigated. A method of reducing the boundary-value problem of heat conduction for these bodies to an interrelated system of Fredholm integral equations of the second kind is proposed. We construct a numerical scheme for the solution of integral equations by the method of quadrature formulas. Results of a numerical analysis of distributions of the temperature moment and bending caused by it for a rectangular plate are presented. © 2011 Springer Science+Business Media, Inc.
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收藏
页码：375 / 386
页数：11
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