| 旋转圆盘受均布压力作用时的 Whittaker 函数渐近解 |
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| 引用本文： | 王建军,刘晓坤.旋转圆盘受均布压力作用时的 Whittaker 函数渐近解[J].西安石油大学学报(自然科学版),1991(4). |
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| 作者姓名： | 王建军 刘晓坤 |
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| 作者单位： | 西安石油学院石油机械系，西安石油学院石油机械系 |
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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,得到了受载条件为时,圆盘应力及形变的渐近解。其形变渐近解为Whittaker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 摄动分析 渐近解 Whittaker 函数 |
The Whittaker Function Asymptotic Solution of a Steadily Spinning Disk Under Uniform Pressure |
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| Wang Jianjun Liu kun.The Whittaker Function Asymptotic Solution of a Steadily Spinning Disk Under Uniform Pressure[J].Journal of Xian Shiyou University,1991(4). |
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| Authors: | Wang Jianjun Liu kun |
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| Institution: | Department of Petroleum Mechanical Engineering |
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| Abstract: | In this paper, the problem of a steadily spinning disk under a uniformly distributed pressure is investigated by perturbation method. The asymptotic solutions of stress and deformation under the condition of J_v~2/J_H<<1 are obtained. The asymptotic solution of deformation can be described with whittaker function. Comparison shows that the asymptotic solutions are in good agreement with Chebyshev numerical solutions. |
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| Keywords: | spinning disk perturbatioin analysis asymptotic solution whittaker function |
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