| 旋转圆盘受均布压力作用时的摄动分析 |
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| 引用本文： | 王建军 陈百屏. 旋转圆盘受均布压力作用时的摄动分析[J]. 力学季刊, 1994, 15(1): 9-13 |
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| 作者姓名： | 王建军 陈百屏 |
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| 作者单位： | 西安石油学院(王建军，刘晓坤)，西北工业大学(陈百屏) |
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| 摘 要： | 本文对中心带轴匀速旋转圆盘在均布压力作用下的受力及变形问题进行了摄动分析，得到了受载条件为Ｊ＾２／ＪＨ＜＜１时，圆盘应力及形变的渐近解。其形变渐近解为Ｗｈｉｔａｋｅｒ函数形式比较表明，渐近解与Ｃｈｅｂｙｓｈｅｖ数值解有较好的一致性。
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| 关 键 词： | 旋转圆盘 振动分析 渐近解 摄动法 |
THE WHITTAKER FUNCTION ASYMPTOTIC SOLUTION OF A STEADY SPINNING DISK UNDER UNIFORMLY DISTRIBUTED PRESSURE |
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| Wang Jianjuii Liu Xiaokun. THE WHITTAKER FUNCTION ASYMPTOTIC SOLUTION OF A STEADY SPINNING DISK UNDER UNIFORMLY DISTRIBUTED PRESSURE[J]. Chinese Quarterly Mechanics, 1994, 15(1): 9-13 |
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| Authors: | Wang Jianjuii Liu Xiaokun |
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| Affiliation: | Wang Jianjuii Liu Xiaokun(Xi'an Petroleum Institute)Cheng Raiping (Northwestern Pol) technical University) |
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| Abstract: | In this paper, the problem of a steadily spinning disk under uniformly distributed pressure is investigated by the use of perturbation method. The asymptotic solutions of stresses and deformations under the loading condition of JV2/JII< <1 is obtained. The asymptotic of deformation can be described with the Whillakcr function. Comparation shows that the asymptotic solutions are in good agreement with the Chebyshev numerical solutions. |
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| Keywords: | Spinning disk Perturbation analysis Asymptotic solution Whitlukcr function. |
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