计算数学 1979, 1(2) 179-188 DOI:     ISSN: 0254-7791 CN: 11-2125/O1

本期目录 | 下期目录 | 过刊浏览 | 高级检索                                                            [打印本页]   [关闭]
论文
扩展功能
本文信息
Supporting info
PDF(372KB)
[HTML全文](0KB)
参考文献[PDF]
参考文献
服务与反馈
把本文推荐给朋友
加入我的书架
加入引用管理器
引用本文
Email Alert
文章反馈
浏览反馈信息
本文关键词相关文章
本文作者相关文章
PubMed

关于简支厚板与薄板的关系

石钟慈,李翊神,

中国科技大学,中国科技大学,

摘要

厚板的数学理论是建立在与薄板不同的力学假定的基础上的。本文分析了厚板与薄板之间静力学方面的关系。对于任意的简支多边形板,得到了厚板解通过薄板解的显式表达式,从而证明了:Reissner模型的厚板解与薄板解具有相同的剪力,但弯矩、转角、挠度有差别;而washizu模型的厚板解则与薄板解不仅剪力相同,连弯矩与转角亦相同,只是挠度有差别。

关键词

ON THE RELATIONS BETWEEN THICK AND THIN PLATES WITH SIMPLY SUPPORTED EDGES

Shi Zhong-ei Li Yi-shen(Chinese University of Scieuce and Technology)

Abstract:

A mathematical theory of thick plate is established on another mechanical hypothesis differed from a thin plate. In this paper a statical analysis for thick plate is given. For an arbitrary plate of polygonal shape with simply supported edges it is shown that the solution of thick plate can be "expressed explicitly by that of thin plate. It is then found that the shear forces of thick plate in the Reissner model are identical with those of thin plate, while in the washizu model of thick plate the shear forces as well as bending moments and angular rotations all are same as the classical thin plate tbeory.

Keywords:
收稿日期  修回日期  网络版发布日期 1979-02-14 00:00:00.0 
DOI:
基金项目:

通讯作者:
作者简介:

本刊中的类似文章

Copyright 2008 by 计算数学