| 柔性圆环壳在子午面内整体弯曲的复变量方程及细环壳的一般解 |
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| 引用本文： | 朱卫平,黄黔,郭平. 柔性圆环壳在子午面内整体弯曲的复变量方程及细环壳的一般解[J]. 应用数学和力学, 1999, 20(9): 889-895 |
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| 作者姓名： | 朱卫平 黄黔 郭平 |
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| 作者单位： | 上海大学, 上海市应用数学和力学研究所, 上海 200072 |
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| 摘 要： | 在З.Л.Аксельрад(E.L.Axelrad)非轴对称载荷下柔性旋转壳线性方程的基础上,导出了圆环壳在子午面内整体弯曲的复变量方程和相应的细环壳方程.该方程可与钱伟长给出了一般解的В.В.Новожилов(V.V.Novozhilov)轴对称环壳方程相类比.通过类比,给出了细环壳在子午面内整体弯曲的一般解.所给出的解可以用来计算波纹管整弯曲的应力和端面位移.
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| 关 键 词： | 柔性壳 旋转壳 圆环壳 薄壁弯管 波纹管 |
| 收稿时间： | 1998-09-07 |
Complex Equations of Flexible Circular Ring Shells Overall-Bending in a Meridian Plane and General Solution for the Slender Ring Shells |
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| Zhu Weiping,Huang Qian,Guo Ping. Complex Equations of Flexible Circular Ring Shells Overall-Bending in a Meridian Plane and General Solution for the Slender Ring Shells[J]. Applied Mathematics and Mechanics, 1999, 20(9): 889-895 |
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| Authors: | Zhu Weiping Huang Qian Guo Ping |
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| Affiliation: | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P R China |
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| Abstract: | Complex equations of circular ring shells and slender ring shells overall_bending in a meridian plane are presented based on E.L.Axelrad's equations of flexible shells of revolution under asymmetrical loading. It turns out that the equations are analogous to V.V.Novozhilov's equations of symmetrical ring shells, where general solutions have been given by W.Z.Chien. Therefore, by analogy with Chien's solution, a general solution for equations of the slender ring shells is put_forward, which can be used to solve bellows overall_bending problems. |
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| Keywords: | flexible shells shells of revolution circular ring shells curved_tubes bellows |
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