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| A coordinate transformation based double sinh transformations for evaluation of nearly singular integrals |
| Received:May 22, 2020 Revised:August 28, 2020 |
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| DOI：10.7511/jslx20200522002 |
| KeyWord:boundary element method boundary integral equation nearly singular integrals sinh transformation coordinate transformation |
| Author | Institution |
| 谢贵重 |
湖南大学 机械与运载工程学院, 长沙 ;郑州轻工业大学 机电工程学院 河南省机械装备智能制造重点实验室, 郑州 |
| 董云桥 |
湖南大学 机械与运载工程学院, 长沙 ;南华大学 机械工程学院, 衡阳 |
| 钟玉东 |
郑州轻工业大学 机电工程学院 河南省机械装备智能制造重点实验室, 郑州 |
| 周枫林 |
湖南大学 机械与运载工程学院, 长沙 |
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| Abstract: |
| This paper presents a new method which combines the coordinate transformation and double sinh transformations for nearly singular integrals.Firstly,the coordinate transformation is employed to separate the near singularities in the two directions.From the forms of the nearly singular integrals in the two directions,based on the complex poles theory,dual sinh transformations are constructed.Compared with the original sinh transformation in polar transformation in combination with the circumference transformation,dual sinh transformation in combination with the coordinate transformation,proposed in our paper can achieve a much more accurate result;moreover,the computational accuracy is less sensitive to position of the nearest singular point in the elements. |
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