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三边夹紧一边自由的矩形厚板的弯曲
引用本文:程昌钧,杨骁.三边夹紧一边自由的矩形厚板的弯曲[J].应用数学和力学,1990,11(6):505-520.
作者姓名:程昌钧  杨骁
作者单位:兰州大学
摘    要:利用厚板的Reissner理论中的广义简支边概念1]得到了三边夹紧一边自由受均布横向载荷作用的矩形厚板的精确解.研究和考察了板的厚度对弯曲的影响及薄板弯曲的Kirchhoff理论的适用范围.

关 键 词:矩形板  厚板  弯曲  固定
收稿时间:1989-08-21

The Bending of a Thick Rectangular Plate with Three Clamped Edges and One Free Edge
Institution:Lanzhou University, Lanzhou
Abstract:The exact solution of the bending of a thick rectangular plate with three clamped edges and one free edge under a uniform transverse load is obtained by means of the concept of generalized simply-supported boundary1] in Reissner's theory of thick plates. The effect of the thickness h of a plate on the bending is studied and the applicable range of Kirchhoffs theory for bending of thin plates is considered.
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