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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
引用本文:乐金朝,刘雄,谷胜利,吴蓝鹰.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(4):5-9.
作者姓名:乐金朝  刘雄  谷胜利  吴蓝鹰
作者单位:1. 郑州大学环境与水利学院,
2. 长沙交通学院育才布朗交通咨询监理公司,
3. 北京科技大学应用科学学院,
基金项目:河南省自然科学基金资助项目(994050300)
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.

关 键 词:点支承矩形板    弯曲    广义简支边界
文章编号:1007-6492(2001)04-0005-05
修稿时间:2001年6月10日

Bending of Rectangular Plates Supported at Any Point on the Straight Edges under a Concentrated Load
YUE Jin-chao ,LIU\ Xiong ,GU Sheng-li ,WU Lan-ying.Bending of Rectangular Plates Supported at Any Point on the Straight Edges under a Concentrated Load[J].Journal of Zhengzhou University: Eng Sci,2001,22(4):5-9.
Authors:YUE Jin-chao  LIU\ Xiong  GU Sheng-li  WU Lan-ying
Affiliation:YUE Jin-chao 1,LIU\ Xiong 2,GU Sheng-li 1,WU Lan-ying 3
Abstract:In this paper, the general supported boundary condition is applied to solve the bending of rectangular plates supported at any point on the four straight edges under a concentrated load. Firstly, the problem is reduced to solving six fundamental rectangular plate bending problems, and then, an analytical solution of the problem is derived by using superposition method. By authors known, it is the first time to give the analytical solution of the problem. Finally, some typical problems are calculated, and the results are prove to be satisfacory. The results may be used as a fundamental solution to analyse the bending of rectangular plates supported at any point on the straight edges under arbitrary loads.
Keywords:rectangular plate supported at points  bending  general supported boundary
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