| 轴对称三维弹性力学的一个精确解 |
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| 引用本文： | 叶建乔. 轴对称三维弹性力学的一个精确解[J]. 合肥工业大学学报(自然科学版), 1990, 0(1) |
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| 作者姓名： | 叶建乔 |
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| 摘 要： | 本文采用三维调和函数在轴对称情况下的一般解,利用三维弹性理论中一些物理量的调和性质,直接从位移函数出发,给出了空间轴对称问题的精确解形式。并针对厚板弯曲问题,建议了一个具体分析过程。从而回避了传统的寻求应力函数的复杂运算。
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| 关 键 词： | 轴对称问题 调和函数 体积应变 分离变量法 |
AN EXACT SOLUTION OF AXISYMMETRIC PROBLEMS BY THREE-DIMENSIONAL ELASTICITY |
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| Ye Jianqiao. AN EXACT SOLUTION OF AXISYMMETRIC PROBLEMS BY THREE-DIMENSIONAL ELASTICITY[J]. Journal of Hefei University of Technology(Natural Science), 1990, 0(1) |
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| Authors: | Ye Jianqiao |
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| Affiliation: | Ye Jianqiao |
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| Abstract: | In this paper, by employing the solutions for the three-dimensional harmonic problems and taking advantage of harmonic feature of some physical quantities,the author gives the exact solution for the spatial axisymmetric problem. A procedure is suggested to deal with the axisymmetric bending problem of thick circular plates. There for, the complicated calculations for the stress functions are not nesseary. |
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| Keywords: | Axisymmetric problem Harmonic function Volumn strain Separation of variables. |
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