| 悬臂板侧屈问题的多项式解法 |
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| 引用本文： | 袁镒吾. 悬臂板侧屈问题的多项式解法[J]. 应用数学和力学, 1993, 14(2): 151-155 |
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| 作者姓名： | 袁镒吾 |
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| 作者单位： | 中南工业大学 长沙 |
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| 摘 要： | 本文研究了悬臂矩形板受均布载荷或集中载荷作用时的侧屈问题.挠度函数选用多项式(2.1)以取代文献[1]中的余弦函数.本文得到的最小临界载荷比文献[1]相应结果更加准确,计算过程也十分简单.
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| 关 键 词： | 悬臂板 侧曲 临界载荷 多项式 |
| 收稿时间： | 1990-11-19 |
A Polynomial Method for Solving the Problems for Lateral Instability of Cantilever Plates |
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| Yuan Yi-wu. A Polynomial Method for Solving the Problems for Lateral Instability of Cantilever Plates[J]. Applied Mathematics and Mechanics, 1993, 14(2): 151-155 |
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| Authors: | Yuan Yi-wu |
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| Affiliation: | Central South University of Technology, Changsha |
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| Abstract: | The present article researches the problems of the lateral instability of cantilever rectangular plates under a concentrated force or a uniformly distributed load respectively. We select the polynomial (2.1) instead of the cosecant function in ref.[l] as the flexural functions. The minimum critical load obtained here is more exact than the results obtained in ref.[l]. |
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| Keywords: | cantilever plates lateral instability critical load polynomial |
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