基于复合映射法及B样条的翼型参数化方法

张珅榕; 蔡卫军; 杨春武; 崔鑫山

doi:10.11993/j.issn.1673-1948.2015.03.001

基于复合映射法及B样条的翼型参数化方法

doi: 10.11993/j.issn.1673-1948.2015.03.001

1.
中国船舶重工集团公司第705研究所, 陕西西安, 710075
2.
水下信息与控制重点实验室, 陕西西安, 710075

详细信息

作者简介:
张珅榕(1989-), 男, 在读硕士, 主要研究方向为水下航行体总体技术.

中图分类号: TJ630.2
计量
- 文章访问数: 1575
- HTML全文浏览量: 4
- PDF下载量: 678
- 被引次数: 0
出版历程
- 刊出日期: 2015-06-20

A Parameterization Method for Airfoil Based on Composite Mapping Method and B-Spline

1.
The 705 Research Institute, China Shipbuilding Industry Corporation, Xi′an 710075, China
2.
Science and Technology on Underwater Information and Control Laboratory, Xi′an 710075, China

摘要

摘要: 为提高翼型气动优化设计的计算效率, 可通过限制几何设计变量个数的方法来实现。为保证设计可行性,提出了一种对B样条拟合形状函数进行复合映射以获得实用翼型的参数化方法。以几类低速翼型为例, 研究了该参数化方法的收敛性, 可以看出, 拟合翼型与原始翼型的型线逼近度高, 气动特性吻合度高。初步分析了形状函数控制点分布对翼型几何特征的影响, 实现了型线的局部控制。研究结果表明, 该方法能实现已知翼型的参数化表达以及局部修型, 可应用于翼型优化。
- 翼型设计 /
- 参数化方法 /
- B样条 /
- 复合映射 /
- 收敛性
Abstract: Reducing geometric design variables can improve the computational efficiency of aerodynamic optimization of airfoil. For design feasibility, a parameterization method is proposed, in which a B-spline fitted shape function is transformed into practical airfoil with composite mapping method. The convergence property of this parameterization method is analyzed via some low-speed airfoils. The fitted airfoil profiles are highly approximate to the original ones, and their aerodynamic characteristics show remarkable consistency. In addition, the influence of the shape function control points on the geometric characteristics of airfoil is analyzed, and local control of airfoil profile is achieved. Results indicate that this parametric method can represent known airfoils and modify local airfoil profiles, and can be applied to airfoil optimization.
- airfoil design /
- parameterization method /
- B-spline /
- composite mapping /
- convergence property

HTML全文

参考文献(7)

[1]	方宝瑞. 飞机气动布局设计[M]. 北京: 航空工业出版社, 1997: 1326.
[2]	廖炎平, 刘莉, 龙腾. 几种翼型参数化方法研究[J]. 弹箭与制导学报, 2011, 31(3): 160-164. Liao Yan-ping, Liu Li, Long Teng. The Research on Some Parameterized Methods for Airfoil[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2011, 31(3): 160- 164.
[3]	陈进, 王旭东, 王立存. 基于泛函的风力机翼型形状优化设计研究[J]. 太阳能学报, 2010, 31(5): 643-646. Chen Jin, Wang Xu-dong, Wang Li-cun. Shape Optimization of General Airfoil Profiles for Wind Turbines Based on Functional Theory[J]. Acta Energy Solar Sinca, 2010, 31(5): 643-646.
[4]	钱翼稷. 空气动力学[M]. 北京: 北京航空航天大学出版社, 2004: 430.
[5]	陈进, 张石强, Eecen P, 等. 风力机翼型参数化表达及收敛特性[J]. 机械工程学报, 2010, 46(10): 132-138. Chen Jin, Zhang Shi-qing, Eecen P, et al. Parametric Representation and Convergence of Wind Turbine Air-foils[J]. Journal of Mechanical Engineering, 2010, 46(10): 132-138.
[6]	刘莲, 冯仁忠. 遗传算法求解B样条曲线最小二乘拟合问题[J]. 应用数学进展, 2014, 3(3): 160-168. Liu Lian, Feng Ren-zhong. Least Squares Fitting with B-Spline by Genetic Algorithm[J]. Advances in Applied Mathematics, 2014, 3(3): 160-168.
[7]	De Vargas LAT, De Oliveira PHIA, De Freitas Pinto RLU, et al. Comparison Between Modern Procedures for Aerodynamic Calculation of Subsonic Airfoils for Application in Light Aircraft Designs[C]//Proceedings of Cobem 18th International Congress of Mechanical Engineering, 2005.