| 考虑剪切的变厚度圆板及环形板的弯曲问题 |
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| 引用本文： | 吴敏达,于天祺.考虑剪切的变厚度圆板及环形板的弯曲问题[J].医学教育探索,1992(6). |
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| 作者姓名： | 吴敏达 于天祺 |
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| 作者单位： | 华东化工学院机械工程系
(吴敏达)，华东化工学院机械工程系(于天祺) |
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| 摘 要： | 根据E.Reissner平板理论,考虑横向剪切变形的影响,推导出在集中载荷下变厚度圆板和均布载荷下变厚度圆环板的弯曲方程。应用摄动法,求出了四级解析解。计算简便,精确度高。
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| 关 键 词： | 均布载荷 集中力 摄动法 变厚度 横向剪切变形 圆板 环形板 |
Bending of Circular (Ring-shaped) Plate with Variable Thickness Considering the Transverse Shearing |
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| Wu Minda and Yu Tianqi.Bending of Circular (Ring-shaped) Plate with Variable Thickness Considering the Transverse Shearing[J].Researches in Medical Education,1992(6). |
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| Authors: | Wu Minda and Yu Tianqi |
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| Institution: | Department of Mechanical Engineering |
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| Abstract: | Based on Reissner's plate theory which takes into account the influence of transverse shear deformation, we derived the bending equations of circular (ring) plate with variable thickness under two conditions: (1) a circular plate under central concentrated load, (2) a circular ring plate under uniform pressure. Using the perturbation method, an analytical solution up to the fourth order is obtained. |
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| Keywords: | uniform distributed load concentrated force perturbation variable thickness transverse shear deformation ring-shaped plate circular plate |
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