| 集中载荷作用下弹性地基圆薄板大挠度问题的精确解 |
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| 引用本文： | 郑晓静,周又和.集中载荷作用下弹性地基圆薄板大挠度问题的精确解[J].力学学报,1988(2). |
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| 作者姓名： | 郑晓静 周又和 |
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| 作者单位： | 兰州大学力学系
(郑晓静)，华中工学院力学系(周又和) |
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| 基金项目： | 中国科学院国家科学基金 |
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| 摘 要： | 本文处理了winkler型弹性地基上圆板受集中载荷作用的大挠度问题,第一次获得了这类问题的精确解的解析式,并用此精确解进行了具体求解,其结果可供工程直接使用,这较之已有文献中的近似处理方法具有更好的可靠性,同时也为研究大挠度理论提供了可靠的依据。
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| 关 键 词： | 精确解 大挠度 弹性地基 收敛性 板 |
ON THE EXACT SOLUTION TO LARGE DEFLECTION PROBLEM OF CIRCULAR PLATE ON ELASTIC FOUNDATION UNDER A CONCENTRATED LOAD |
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| Zheng Xiaojing.ON THE EXACT SOLUTION TO LARGE DEFLECTION PROBLEM OF CIRCULAR PLATE ON ELASTIC FOUNDATION UNDER A CONCENTRATED LOAD[J].chinese journal of theoretical and applied mechanics,1988(2). |
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| Authors: | Zheng Xiaojing |
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| Abstract: | In this paper, large deflection problem of a circular plate placed on clastic foundation of the Winkler type and subjected to a concentrated load at the centre has been treated. The analytical formulas of the exact solution of this problem are firstly obtained and solved. It is obvious that the exact solution is more reliable than all other approximate soultions. It not only can be directly applied in engineering, but also offers a way to study the theory of large deflection. |
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| Keywords: | exact solution large deflection elastic foundation convergence plate |
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