| 按位移推导平面轴对称问题的一般性解答 |
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| 引用本文： | 刘章军,叶永,李建林.按位移推导平面轴对称问题的一般性解答[J].力学与实践,2011,33(4):66-68. |
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| 作者姓名： | 刘章军 叶永 李建林 |
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| 作者单位： | 1. 三峡大学水利与环境学院;2. 三峡大学;3. ; |
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| 基金项目： | 三峡大学2010年教学研究重点项目(J2010003),三峡大学弹性力学精品课程建设项目 |
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| 摘 要： | 根据平面轴对称问题的物理概念, 将平面轴对称问题分为轴对称应力问题和轴对称位移问
题, 给出了这两种轴对称问题的基本方程, 并指出平面轴对称位移问题是平面轴对称应力问
题的特例. 在此基础上, 分别按位移推导了平面轴对称应力问题和平面轴对称位移问题的一
般性解答. 按位移推导平面轴对称问题, 可以考虑体力分量, 从而可避免按应力函数推导平
面轴对称应力问题时不能考虑体力分量的局限性.
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| 关 键 词： | 弹性力学 平面轴对称问题 一般性解答 位移法 |
| 收稿时间： | 2010-06-07 |
General solutions of planar axisymmetrical problem by displacement method |
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| Liu zhangjunYe Yong,Li Jianlin.General solutions of planar axisymmetrical problem by displacement method[J].Mechanics and Engineering,2011,33(4):66-68. |
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| Authors: | Liu zhangjunYe Yong Li Jianlin |
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| Abstract: | According to the basic concept of the axisymmetry, the planar axisymmetry problems can be classified as the axisymmetrical stress and the axisymmetrical displacement, and their basic equations are given, respectively. It should be noted that the planar axisymmetrical displacement is a special case of the planar axisymmetrical stress. The general solutions of the planar axisymmetrical stress and the planar axisymmetrical displacement are obtained by displacement method, respectively. The results indicate that the general body force can be considered when solution of planar axisymmetry problem in terms of displacement. |
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| Keywords: | Elasticity Planar axisymmetry problem General solutions Displacement method |
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