| 一种求解方管稳定性问题的简化方法 |
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| 引用本文： | 常红,崔小朝,晋艳娟,张柱.一种求解方管稳定性问题的简化方法[J].力学与实践,2005,27(4):22-25. |
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| 作者姓名： | 常红 崔小朝 晋艳娟 张柱 |
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| 作者单位： | 1. 太原科技大学工程力学系,太原,030024
2. 沈阳理工大学,沈阳,110168 |
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| 摘 要： | 采用材料力学中的平面弯曲理论、以及弹性理论中平面应力问题和平面应变问题的转换关系，分析方管在均匀外压作用下的变形、临界压力和应力，得到了方管最大变形、临界压力和最大应力的求解公式．运用有限元分析软件Marc建立有限元模型，分析了方管在外压作用下的变形、临界压力和应力情况．分析结果表明，最大应力出现在凹角处，最大位移出现在各面的中截面处，并将有限元解与本文解作比较，从而验证文本解的正确性．
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| 关 键 词： | 方管 稳定性 材料力学 平面弯曲理论 临界压力 力学分析 |
| 收稿时间： | 2004-07-07 |
| 修稿时间： | 2005-04-28 |
A NEW SOLUTION FOR STABILITY OF SQUARE PIPE |
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| CHANG Hong,Cui Xiaochao,JIN Yanjuan,Zhang Zhu.A NEW SOLUTION FOR STABILITY OF SQUARE PIPE[J].Mechanics and Engineering,2005,27(4):22-25. |
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| Authors: | CHANG Hong Cui Xiaochao JIN Yanjuan Zhang Zhu |
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| Institution: | Department of Engineering Mechanics, Taiyuan University of Science and Technology, Taiyuan 030024, China; Shenyang University of Technology, Shenyang 110168, China |
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| Abstract: | A solution of deformation, critical pressure and stress for square pipe under pressure is obtained by using plane bending formula and a transformation from plane stress to plane strain in elasticity. The maximum deformation, critical stress and maximum stress are obtained. The results are compared with those obtained by the finite element software of Msc. Marc. |
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| Keywords: | square pipe deformation critical pressure stress the finite element |
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