Bending of an Elastic Rectangular Clamped Plate: Exact Versus ‘Engineering’ Solutions

被引：0
作者：
V.V. Meleshko
机构：
[1] University of Illinois at Urbana-Champaign,Department of Theoretical and Applied Mechanics
来源：
Journal of Elasticity | 1997年 / 48卷
关键词：
clamped rectangular plate; method of superposition;
D O I：
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学科分类号：
摘要：
This paper addresses the fascinating long history of the classical problem of bending of a thin rectangular elastic plate with clamped edges by uniform pressure. Among various mathematical and engineering approaches, a method of superposition proposed by Lamé (1852, 1859) and Mathieu (1881, 1890) and developed by the mathematician Koialovich (1902) and engineers Boobnoff (1902, 1914), Hencky (1913) and Inglis (1925) appears to be very useful for the analysis of distribution of stresses and deflection inside a plate. The object of this paper is both to clarify some purely mathematical questions connected with the solution of the infinite systems of linear algebraic equations and to provide a considerable simplification of the numerical algorithm.
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页码：1 / 50
页数：49
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