[1]乐金朝,刘雄,谷胜利,等.集中载荷作用下四直边上任意点支承矩形板的弯曲[J].郑州大学学报(工学版),2001,22(04):5-9.[doi:10.3969/j.issn.1671-6833.2001.04.002]
　Lejin Dynasty,LIU Xiong,Valley Victory,et al.Under the action of concentrated load, the bending of the rectangular plate is supported at any point on the four straight sides[J].Journal of Zhengzhou University (Engineering Science),2001,22(04):5-9.[doi:10.3969/j.issn.1671-6833.2001.04.002]

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集中载荷作用下四直边上任意点支承矩形板的弯曲()

分享到：

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

卷:

22

期数:

2001年04期

页码:

5-9

栏目:

出版日期:

1900-01-01

文章信息/Info

Title:

Under the action of concentrated load, the bending of the rectangular plate is supported at any point on the four straight sides

作者:

乐金朝; 刘雄; 谷胜利; 等.

郑州大学环境与水利学院,, 长沙交通学院育才布朗交通咨询监理公司,, 北京科技大学应用科学学院,

Author(s):

Lejin Dynasty; LIU Xiong; Valley Victory; etc

关键词:

点支承矩形板;  弯曲;  广义简支边界

Keywords:

Point support rectangular plate;  bending;  Generalized simple branch boundaries

DOI:

10.3969/j.issn.1671-6833.2001.04.002

文献标志码:

A

摘要:

基于薄板弯曲问题的广义简支边界条件,通过将集中载荷作用下四直边上任意点支承矩形板的弯曲问题分解为6个基本的薄板弯曲问题,应用叠加法首次得到了该问题的解析解.对典型的薄板弯曲问题进行了计算分析,取得了较好的效果.该结果可以作为基本解用于求解任意荷载作用下四直边上任意点支承矩形板的弯曲问题.

Abstract:

Based on the generalized simple support boundary condition of the thin plate bending problem, the analytical solution of the rectangular plate is obtained for the first time by applying the superposition method by decomposing the bending problem of rectangular plate supporting rectangular plate at any point on the four straight sides under concentrated load into six basic thin plate bending problems. The typical sheet bending problem was calculated and analyzed, and good results were achieved. This result can be used as a basic solution to solve the bending problem of rectangular plate supporting at any point on the four straight sides under arbitrary loading.

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