| 三边夹紧一边自由的矩形厚板的弯曲 |
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| 引用本文： | 程昌钧 杨骁. 三边夹紧一边自由的矩形厚板的弯曲[J]. 应用数学和力学, 1990, 11(6): 505-520 |
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| 作者姓名： | 程昌钧 杨骁 |
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| 作者单位： | 兰州大学 |
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| 摘 要： | 利用厚板的Reissner理论中的广义简支边概念[1]得到了三边夹紧一边自由受均布横向载荷作用的矩形厚板的精确解.研究和考察了板的厚度对弯曲的影响及薄板弯曲的Kirchhoff理论的适用范围.
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| 关 键 词： | 矩形板 厚板 弯曲 固定 |
| 收稿时间： | 1989-08-21 |
The Bending of a Thick Rectangular Plate with Three Clamped Edges and One Free Edge |
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| Affiliation: | Lanzhou University, Lanzhou |
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| Abstract: | The exact solution of the bending of a thick rectangular plate with three clamped edges and one free edge under a uniform transverse load is obtained by means of the concept of generalized simply-supported boundary[1] in Reissner's theory of thick plates. The effect of the thickness h of a plate on the bending is studied and the applicable range of Kirchhoffs theory for bending of thin plates is considered. |
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