| 二维边界元法中几乎奇异积分的解析法 |
| |
| 引用本文： | 牛忠荣,王左辉,胡宗军,周焕林.二维边界元法中几乎奇异积分的解析法[J].工程力学,2004,21(6):113-117. |
| |
| 作者姓名： | 牛忠荣 王左辉 胡宗军 周焕林 |
| |
| 作者单位： | 合肥工业大学工程力学系,合肥,230009;合肥工业大学工程力学系,合肥,230009;合肥工业大学工程力学系,合肥,230009;合肥工业大学工程力学系,合肥,230009 |
| |
| 基金项目： | 国家自然科学基金资助项目(10272039)，教育部留学人员回国基金 |
| |
| 摘 要： | 边界元分析中的几乎奇异积分难题一直阻碍其在工程中应用。作者提出的半解析法有效计算了几乎奇异积分,在此基础上做进一步推演,得到线性单元和二次亚参元上几乎强奇异和超奇异积分的解析列式,摈弃了数值求积。该算式对高次单元也近似适用。这个算法使得边界元法能够分析弹性力学薄壁结构。
|
| 关 键 词： | 弹性力学 边界元法 几乎奇异积分 解析法 薄壁结构 |
| 文章编号： | 1000-4750(2004)06-0113-05 |
ANALYTIC ALGORITHM FOR NEARLY SINGULAR INTEGRALS IN TWO-DIMENSIONAL BOUNDARY ELEMENT ANALYSIS |
| |
| NIU Zhong-rong,WANG Zuo-hui,HU Zong-jun,ZHOU Huan-lin.ANALYTIC ALGORITHM FOR NEARLY SINGULAR INTEGRALS IN TWO-DIMENSIONAL BOUNDARY ELEMENT ANALYSIS[J].Engineering Mechanics,2004,21(6):113-117. |
| |
| Authors: | NIU Zhong-rong WANG Zuo-hui HU Zong-jun ZHOU Huan-lin |
| |
| Abstract: | The difficulty of the evaluation of nearly singular integrals has hindered the applications of the boundary element method in engineering. A semi-analytic algorithm established by the first author can efficiently compute the nearly singular integrals. Based on the algorithm, exact formulations are obtained for calculating the nearly hyper-singular integrals on the linear element and a flat element. As a result, numerical quadrature is avoided. Furthermore, the strategy is applicable to some high-order elements. Consequently, the boundary element method is enabled to deal with thin-walled structures in elasticity problems. Numerical results illustrate the accuracy and effectiveness of the algorithm. |
| |
| Keywords: | elasticity BEM nearly singular integrals analytic method thin-walled structures |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
