| 弹性地基上自由边矩形厚板 |
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| 引用本文： | 汪克让. 弹性地基上自由边矩形厚板[J]. 应用数学和力学, 1990, 11(9): 817-826 |
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| 作者姓名： | 汪克让 |
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| 作者单位： | 天津大学 |
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| 摘 要： | 弹性地基上自由边矩形厚板的分栀由于其难度较大,一直没有得到很好的解决.本文采用单三角级数和重三角级数相叠加的方法,求得该问题的精确解.文中所用方法简单明了.所得结果完全满足边界条件并与王克林等[2]的结果完全一致.
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| 关 键 词： | 弹性地基 文克勒假定 厚板 |
| 收稿时间： | 1989-03-01 |
Thick Rectangular Plates with Free Edges on Elastic Foundations |
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| Wang Ke-rang. Thick Rectangular Plates with Free Edges on Elastic Foundations[J]. Applied Mathematics and Mechanics, 1990, 11(9): 817-826 |
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| Authors: | Wang Ke-rang |
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| Affiliation: | Tianjin University, Tianjin |
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| Abstract: | In this paper an accurate solution for the thick rectangular plate with free edges laid on elastic foundation is presented. The superposition method of trigonometric series is-used. The method can solve this kind of plates directly and simply. Its results completely satisfy the boundary conditions of the four free edges and nicely agree with the solutions by Wang Ke-lin and Huang Yi. |
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| Keywords: | elastic foundation Winkler's assumption thick plate. |
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