[1]许琪楼,白杨,王海..一边支承矩形板弯曲精确解法[J].郑州大学学报(工学版),2004,25(02):23-27.[doi:10.3969/j.issn.1671-6833.2004.02.006]
　Xu Qilou,Poplar,Wang Hai.One side supports the precise solution of rectangular plate bending[J].Journal of Zhengzhou University (Engineering Science),2004,25(02):23-27.[doi:10.3969/j.issn.1671-6833.2004.02.006]

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一边支承矩形板弯曲精确解法()

分享到：

《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:

25

期数:

2004年02期

页码:

23-27

栏目:

出版日期:

1900-01-01

文章信息/Info

Title:

One side supports the precise solution of rectangular plate bending

作者:

许琪楼; 白杨; 王海.

郑州大学土木工程学院,河南,郑州,450002, 河南省水利科学研究所,河南,郑州,450003

Author(s):

Xu Qilou; Poplar; Wang Hai

关键词:

矩形板;  弹性板弯曲;  精确解法

Keywords:

rectangular plates;  flexural plates;  Precise solution

DOI:

10.3969/j.issn.1671-6833.2004.02.006

文献标志码:

A

摘要:

一边支承矩形板由于边界条件的多样性导致板中内力分布的复杂性,现有解法存在计算方法不统一,计算精度低,适用范围小等缺陷.提出的精确解法将板的弯曲划分为广义静定和广义超静定两类,对于前者,提出一个统一的通解表达式并采用组合特解,该特解在满足板弯曲平衡徽分方程的同时,还可以满足支承边的挠度条件、自由边上剪力分布条件、自由角点集中力条件及柱支座处的反力条件,从而可以利用四边边界条件及柱支座处的位移条件直接求解.对于广义超静定弯曲,采用叠加法求解.逆向分析算例表明,本解法具有很高的计算精度.

Abstract:

Due to the diversity of boundary conditions, the complexity of the internal force distribution in the plate is caused by the diversity of boundary conditions, and the existing solution has the shortcomings of inconsistent calculation methods, low calculation accuracy and small application range. The proposed precise solution divides the bending of the plate into two categories: generalized static determination and generalized superstatic determination, for the former, a unified general solution expression is proposed and a combined special solution is adopted, which can not only meet the plate bending balance emblem division equation, but also meet the deflection conditions of the supporting edge, the shear distribution conditions on the free edge, the concentration force conditions of the free angle point and the reaction force conditions at the column support, so that the four-sided boundary conditions and the displacement conditions at the column support can be used to solve directly. For generalized superstatically definite bending, the superposition method is used to solve it. The reverse analysis example shows that the solution has high computational accuracy.

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