| 厚壁筒受正弦分布压力之解及圆筒无限长时的极限 |
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| 引用本文： | 单锐,刘助柏,刘文.厚壁筒受正弦分布压力之解及圆筒无限长时的极限[J].机械工程学报,2004,40(1):73-77. |
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| 作者姓名： | 单锐 刘助柏 刘文 |
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| 作者单位： | 1. 燕山大学理学院,秦皇岛,066004
2. 燕山大学 |
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| 摘 要： | 对厚壁圆筒在柱面上受正弦分布压力的情况,给出了解析解。应用一个新的应力函数,解决轴对称问题。同时,给出了压力沿轴向不变时的极限,导出了厚壁圆筒著名的Lame解答。
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| 关 键 词： | 应力 新应力函数 双调和方程 解析解 |
| 修稿时间： | 2002年10月30 |
SOLUTION OF SINE PRESSURES ON A HOLLOW CYLINDER AND THE LIMIT WHEN k→0 |
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| Shan Rui Liu Zhubai Liu Wen.SOLUTION OF SINE PRESSURES ON A HOLLOW CYLINDER AND THE LIMIT WHEN k→0[J].Chinese Journal of Mechanical Engineering,2004,40(1):73-77. |
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| Authors: | Shan Rui Liu Zhubai Liu Wen |
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| Affiliation: | Yanshan University |
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| Abstract: | An analytical solution is derived for the sine stress distribution in a hollow circular cylinder with inner radius a and outer radius b. The solution of the problem of stress distribution symmetrical about an axis is obtained by using a new stress function. And the limit of the pressures that isn't varied about an axis distributed in a hollow circular cylinder is derived. It is the well-known lame's formulas for the stresses in a hollow circular cylinder subjected to uniform pressures. |
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| Keywords: | Stress New stress function Biharmonic equation Analytic solution |
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