基于遗传算法的闭合NURBS曲线光顺及在叶片造型中的应用

莫蓉; 马峰; 余旸; 王英伟; 刘蔚昕

doi:10.13433/j.cnki.1003-8728.2015.0627

基于遗传算法的闭合NURBS曲线光顺及在叶片造型中的应用

doi: 10.13433/j.cnki.1003-8728.2015.0627

1.
西北工业大学现代设计与集成制造技术教育部重点实验室, 西安 710072

基金项目:

西北工业大学基础研究基金项目（JC201208）、陕西省自然科学基础研究计划项目（2012JQ7002）与国家自然科学基金项目（51205320）资助

详细信息

作者简介:
莫蓉（1957-），教授，博士生导师，研究方向为航空发动机协同设计与制造，MBD设计，几何搜索与知识重用等，morong@nwpu.edu.cn

计量
- 文章访问数: 131
- HTML全文浏览量: 15
- PDF下载量: 5
- 被引次数: 0
出版历程
- 收稿日期: 2013-09-14
- 刊出日期: 2015-06-05

Smoothing Closed NURBS Curve with Genetic Algorithm and Applying It to Blade Modelling

1.
Key Laboratory of Contemporary Design and Integrated Manufacturing Technology, Ministry of Education, Northwestern Polytechnical University, Xi'an 710072, China

摘要

摘要: 针对闭合NURBS曲线在型值点不均匀情况下曲线不光顺问题，提出一种基于遗传算法的闭合NURBS曲线的光顺方法，解决了在插值NURBS曲线过程中出现的反曲率导致不光顺的问题。最后以涡轮叶片的叶身截面线为例，验证了光顺方法的有效性和实用性。
- 闭合NURBS曲线 /
- 反曲率 /
- 插值 /
- 光顺 /
- 遗传算法
Abstract: Because the data points of a closed NURBS curve are non-uniform, the interpolated curve is not smooth. This paper proposes the closed NURBS curve smoothing method based on genetic algorithm to solve the curve unfairness caused by reverse curvature in the process of NURBS curve interpolation. Finally, this paper takes the body section of a turbine blade line as an example to verify the effectiveness and applicability of this smoothing method.
- closed NURBS curve /
- genetic algorithms /
- interpolation /
- mathematical models /
- mathematical operators

HTML全文

参考文献(9)

[1]	夏禹.涡轮叶片造型 CAD 系统研究[D].西安:西北工业大学,2004 Xia Y. Research on the modeling of CAD system for turbine blade[D]. Xi'an: Northwestern Polytechnical University,2004 (in Chinese)
[2]	甘屹,齐从谦,陈亚洲.基于遗传算法的曲线曲面光顺[J].同济大学学报,2002,30(3):322-325 Gan Q, Qi C Q, Chen Y Z. Smoothing of curves and surfaces based on genetic algorithm[J]. Journal of Tongji University,2002,30(3):322-325 (in Chinese)
[3]	Wang Z, Zhou L, Wang X. Weight-based shape modification of NURBS curves by constrained optimization[J]. Journal of Southeast University,2004,20(4):458-462
[4]	Juhosz I, Hoffmabb M. Constrained shape modification of B-spline curves by means of knots[J]. Computer Aided Design,2004,36:437-445
[5]	Li W, Xu S, Zhao G, et al. Adaptive knot placement in B-spline curve approximation[J]. Computer-Aided Design,2005,37(8):791-797
[6]	黄河清.NURBS 曲面逆向造型关键算法的研究与应用[D].西安:西北工业大学,2004 Huang H Q. Research and application on the key algorithm of surface reverse modeling NURBS[D]. Xi'an: Northwestern Polytechnical University,2004 (in Chinese)
[7]	莫蓉,常智勇.计算机辅助几何造型技术[M].北京:科学出版社,2009 Mo R, Chang Z Y. Computer aided geometric modeling technology[M]. Beijing:Science Press,2009 (in Chinese)
[8]	Kreinovich V, Quitana C, Fuentes O, et al. Genetic algorithms:what fitness scaling is optimal[J]. Cybernetics and Systems,1993,24(1)
[9]	周明,孙树栋.遗传算法原理及其应用[M].北京:国防工业出版社,2000 Sun M,Sun S D. The principle of genetic algorithm and its application[M]. Beijing:National Defence Industry Press,2000 (in Chinese)