| 具有中心弹性约束的圆膜片的非线性弯曲 |
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| 引用本文： | 周又和.具有中心弹性约束的圆膜片的非线性弯曲[J].兰州大学学报(自然科学版),1994,30(2):23-28. |
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| 作者姓名： | 周又和 |
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| 作者单位： | 兰州大学力学系 |
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| 摘 要： | 本文应用ｖｏｎ Ｋａｒｍａｎ薄板理论。球解了具有中心弹性约束的圆薄板在均布横向力作用下的非线性弯曲问题。在求解其幂级数解中，文中采用了与物理意义相联系的嵌套的牛顿迭代法，使用计算时大为减少。其所得结果为类敏感弹性元件的应用提供了可靠的数据。
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| 关 键 词： | 圆薄板 非线性弯曲 中心弹性约束 |
Nonlinear Bending of Circular Diaphragm with a Central Elastic Constraint |
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| Zhou Youhe.Nonlinear Bending of Circular Diaphragm with a Central Elastic Constraint[J].Journal of Lanzhou University(Natural Science),1994,30(2):23-28. |
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| Authors: | Zhou Youhe |
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| Abstract: | From the von Karman plate theory, the nonlinear bending problem of the central elastic constraint supported circular thin plate/diaphragm under uniformly distributed pressure in lateral haw been researched in this paper. We use the Newton's iterative methods connected to the physical meaning to solve the power series solutions of the problems so that the calculations can be much more reduced. The obtained results are used to provide reliable date for the design of this type of the sensitive elastic elements. |
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| Keywords: | circular thin plate/diaphragm nonlinear bending power series solution central elastic constraint uniform lateral pressure |
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