| 厚壁筒柱面受双曲余弦分布压力、端面受常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.厚壁筒柱面受双曲余弦分布压力、端面受常力之解及圆筒无限长时的极限[J].中国机械工程,2003,14(17):1526-1529. |
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| 作者姓名： | 单锐 刘助柏 刘文 |
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| 作者单位： | 燕山大学,河北省秦皇岛市,066004 |
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| 摘 要： | 在三维空间中构建了一个既满足双调和方程又满足边界条件的新应力函数，对厚壁圆筒在柱面上受双曲余弦分布压力、端面受正压力总和为常力的情况，给出了解析解。避免了长期以来利用均布压力近似代替变力来求解轴对称问题所造成的误差。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： | 双曲余弦分布压力 新应力函数 双调和方程 解析解 |
| 文章编号： | 1004-132X(2003)17-1526-04 |
A Solution of Hyperbolic Cosine Pressures on a Hollow Cylinder and the Limit When k→0 |
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| Shan Rui.A Solution of Hyperbolic Cosine Pressures on a Hollow Cylinder and the Limit When k→0[J].China Mechanical Engineering,2003,14(17):1526-1529. |
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| Authors: | Shan Rui |
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| Abstract: | An analytical solution is derived for the hyperbolic cosine stress distribution in a hollow circular cylinder with inner radius a and outer radius b and P stress distribution on both ends. The solution of stress distribution problem symmetrical about an axis is obtained by using a new stress function. And the limit of the pressures that is not 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: | hyperbolic cosine pressure new stress function biharmonic equation analytic solution |
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