| 自然边界元法在弹性圆形薄板弯曲问题中的应用 |
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| 引用本文： | 李顺才,刘玉庆.自然边界元法在弹性圆形薄板弯曲问题中的应用[J].陕西理工学院学报(自然科学版),2002,18(3):80-84. |
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| 作者姓名： | 李顺才 刘玉庆 |
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| 作者单位： | 1. 徐州师范大学,工学院,江苏,徐州,221011
2. 中国矿业大学,理学院,江苏,徐州,221008 |
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| 摘 要： | 我国学者冯康、余德浩等首创自然边界元法 ,并已成功地研究了调和方程及双调和方程边值问题的自然边界归化方法。本文根据双调和方程边值问题的自然边界归化原理 ,得到了圆形薄板弯曲挠度的泊松积分公式及其边界内力的自然积分方程 ,利用强奇异积分的数值计算方法 ,求得了圆形薄板的弯曲解 ,从实践上证实了这种方法的可行性。
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| 关 键 词： | 自然边界元法 圆形薄板 弯曲解 强奇异积分 |
| 文章编号： | 1002-3410(2002)03-0080-05 |
| 修稿时间： | 2002年8月21日 |
Natural boundary element method and its application in the bending problem of the elastic thin circular plate |
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| LI Shun-cai ,LIU Yu-qing.Natural boundary element method and its application in the bending problem of the elastic thin circular plate[J].Journal of Shananxi University of Technology:Natural Science Edition,2002,18(3):80-84. |
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| Authors: | LI Shun-cai LIU Yu-qing |
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| Institution: | LI Shun-cai 1,LIU Yu-qing 2 |
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| Abstract: | FENG Kang, YU De-hao and some other scholars of our country are the first ones to create the natural boundary element method (NBEM), and they have successfully studied the natural boundary reduction method for the boundary value problems of harmonic equation and biharmonic equation. Based on the natural boundary reduction for the boundary value problems of biharmonic equation, the Poisson integral formula on the bending deflection of the thin circular plate and its natural integral equations of boundary internal forces are presented. By means of the numerical method of strongly singular integrals, the bending solutions to the thin circular plate are obtained, and the feasibility of this method has been confirmed in practice. |
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| Keywords: | natural boundary element method (NBEM) the elastic thin circular plate bending solution strongly singular integrals |
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