| 矩形薄板线弹性变曲的一般解析解 |
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| 引用本文： | 岳建勇,曲庆璋.矩形薄板线弹性变曲的一般解析解[J].强度与环境,2001(2):51-57. |
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| 作者姓名： | 岳建勇 曲庆璋 |
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| 作者单位： | 1. 同济大学地下建筑与工程系,
2. 青岛建筑工程学院基础部, |
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| 摘 要： | 基于Kirchhoff薄板理论，从板的控制微分方程出发，得到了双以前文献中的更加完全的解函数，因此能够求解更多的不同边界条件矩形板问题。本文求争三边固定一边自由矩形板和两对边固定两对边自由矩形板， 并同有限元结果可进行比较。
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| 关 键 词： | 弹性板弯曲 矩形板 三角级数 解析解 薄板线 |
| 文章编号： | 1006-3919(2001)02-0051-07 |
| 修稿时间： | 2000年11月7日 |
A General Analytical Solution for Solving Linear Elastic Bending of Rectangular Thin Plates |
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| YUE Jian,yong.A General Analytical Solution for Solving Linear Elastic Bending of Rectangular Thin Plates[J].Structure & Environment Engineering,2001(2):51-57. |
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| Authors: | YUE Jian yong |
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| Abstract: | The present paper gives a general analytical solution for solving linear elastic bending of rectangular plates subject to transversal loads.The solution is derived from the classical equilibrium equation for the small deflection by the method of separation of variables.The deflection function consists of more trigonometric series and more polynomial expressions than ever.The solutions of rectangular plates with three edges built in and the fourth edge free and with two opposite edges clamped and the other edges free are obtained.The results are compared with those by the method of finite element. |
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| Keywords: | Bending of elastic plate Rectangular plate Trigonometric series Analytical solutions |
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