| 关于Kārmàn薄板方程与薄膜理论的过渡问题 |
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| 引用本文： | 郑晓静,周又和.关于Kārmàn薄板方程与薄膜理论的过渡问题[J].兰州大学学报(自然科学版),1991(3). |
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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，兰州大学力学系 兰州，730000，兰州，730000 |
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| 摘 要： | 本文采用解析内播迭代法求解了受场布载荷作用的Karman薄板方程,给出了关于内插因子优化选择的经验解析式。从而使Karman薄极方程与薄膜理论的过渡问题得到圆满解决。
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| 关 键 词： | von Karman板方程 薄膜理论 过渡问题 内播迭代法 最佳内插因子 |
On the Problem of Transition from von Karman Plate Equations to Theory of Membrane |
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| Zheng Xiaojing,Zhou Youhe.On the Problem of Transition from von Karman Plate Equations to Theory of Membrane[J].Journal of Lanzhou University(Natural Science),1991(3). |
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| Authors: | Zheng Xiaojing Zhou Youhe |
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| Institution: | Zheng Xiaojing,Zhou Youhe Department of Mechanics,Lanzhou University,Lanzhou,730000 |
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| Abstract: | By means of the analytical interpolated-iterative method, this paper hassolved the von Karman plate equations of the rigidly clamped circular thinplate under uniformly distributed pressure. The optimum interpolated-factoriis decided by an empirical formula, which takes short time for computation.Finally, the problem of transition from the von Karman plate equations tothe Hencky's membrane theory has been successfully solved. |
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| Keywords: | von Karman plate equations theory of membrane transition nterpolated-iterative method optimum interpolated-factor |
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