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.

引用

页码：375 / 386

页数：11

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