| 多圆孔圆板问题的数值解 |
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| 引用本文： | 陈宜周 陆建飞. 多圆孔圆板问题的数值解[J]. 应用力学学报, 1996, 13(2): 109-113 |
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| 作者姓名： | 陈宜周 陆建飞 |
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| 作者单位： | 江苏工学院 |
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| 摘 要： | 提出了一种求解多圆孔圆板问题的新方法。首先引入了基本特解，它由主要部分和附加部分组成。主要部分为带奇点无限平板的一个特殊弹性力学解，奇点取在内圆孔的中心处。附加部分为实心圆饭的一个特解。整个基本特解满足外圆周界为自由条件。文中把待求解取为特解系的形式，其中待定系数可用变分原理得出。最后给出了算例。
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| 关 键 词： | 平面弹性；应力集中；Trefftz方法；变分原理应用 |
Numerical Solution of Circular Plate Weakened by Multiple Circular Holes |
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| Chen Yizhou, Lu Jianfei. Numerical Solution of Circular Plate Weakened by Multiple Circular Holes[J]. Chinese Journal of Applied Mechanics, 1996, 13(2): 109-113 |
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| Authors: | Chen Yizhou Lu Jianfei |
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| Affiliation: | Jiangsu Institute of Technology |
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| Abstract: | A new approach for solving the problem of a circular plate weakened by multiple circular holes is presented. An elementary solution for the problem is introduced, which is composed of the principal part and the complementary part. The proposed particular solution system is a linear combination of the obtained elementary solutions. The undetermined coefficients involved in the particular solution system are evaluated by means of the variational method in elasticity. Finally, one numerical example is given. |
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| Keywords: | Plane elasticity stress concentration trefftz method vari at ional method |
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