| 基于哈密顿解法的厚板边界效应典型算例分析 |
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| 引用本文： | 鞠伟,岑松,傅向荣,龙驭球. 基于哈密顿解法的厚板边界效应典型算例分析[J]. 工程力学, 2008, 25(2): 1-8 |
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| 作者姓名： | 鞠伟 岑松 傅向荣 龙驭球 |
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| 作者单位： | 清华大学土木工程系,北京,100084;清华大学航天航空学院,北京,100084;破坏力学教育部重点实验室,北京,100084;中国农业大学土木工程系,北京,100083 |
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| 基金项目： | 国家自然科学基金项目(10502028)，高等学校全国优秀博士论文作者专项基金项目(200242)，国家科技支撑计划项目(2006BAK04A03)，教育部新世纪优秀人才支持计划项目(NCET-07-0477) |
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| 摘 要： | 在平板弯曲问题中存在边界效应现象。这个现象用Reissner厚板理论可以论证,而经典薄板理论则无法解释。边界效应现象在板的自由边界附近表现最为典型。该文首先选取均载作用下的三边简支,一边自由的矩形厚板作为典型问题,采用哈密顿解法求出解析解。然后结合这个典型问题,对边界效应现象进行分析,对其影响因素和影响范围进行讨论。
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| 关 键 词： | 厚板弯曲 边界效应 Reissner 厚板理论 哈密顿解法 解析解 |
| 文章编号： | 1000-4750（2008）02-0001-08 |
| 收稿时间： | 2006-09-02 |
| 修稿时间： | 2007-05-11 |
ANALYSIS OF BOUNDARY EFFECT PHENOMENON IN THICK PLATES USING HAMILTONIAN APPROACH |
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| JU Wei,CEN Song,FU Xian-rong,LONG Yu-qiu. ANALYSIS OF BOUNDARY EFFECT PHENOMENON IN THICK PLATES USING HAMILTONIAN APPROACH[J]. Engineering Mechanics, 2008, 25(2): 1-8 |
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| Authors: | JU Wei CEN Song FU Xian-rong LONG Yu-qiu |
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| Abstract: | The boundary effect phenomenon exists in plate bending problems. This phenomenon can be explained and demonstrated on the basis of Reissner theory of thick plates, while the classical theory of thin plates can not give a satisfactory explanation of it. The boundary effect phenomenon in the neighbourhood of free boundary is a typical one. In this paper, the rectangular thick plate with three simply-supported edges and one free edge is taken as a typical problem and is analyzed using Hamiltonian approach. Then, on the basis of this typical problem, the influence factor and influence domain of boundary effect phenomenon are discussed. |
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| Keywords: | thick plate bending problem boundary effect phenomenon Reissner-Mindlin thick plate theory Hamiltonian approach analytical solutions |
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