Fluid Mechanics and Flight Mechanics

Study of Robust Winglet Design Based on Arbitrary Space Shape FFD Technique

  • HUANG Jiangtao ,
  • GAO Zhenghong ,
  • BAI Junqiang ,
  • ZHAO Ke ,
  • LI Jing ,
  • XU Fang
Expand
  • 1. National Key Laboratory of Science and Technology on Aerodynamic Design and Research, Northwestern Polytechnical University, Xi’an 710072, China;
    2. China Aerodynamic Research and Development Center, Mianyang 621000, China

Received date: 2012-01-11

  Revised date: 2012-02-28

  Online published: 2013-01-19

Abstract

An arbitrary space shape free-form deformation (FFD) technique is first established in this paper based on the non-uniform rational B-splines basis function, and any complex configuration can be parameterized through choosing an FFD shape and lattice reasonably. First an airliner wingtip is parameterized using the FFD technique. Then the multi-block structure grid deformation technique is established by the Delaunay graph mapping method. An aerodynamic optimization design system is established by combining the FFD technique, the grouping particle swarm optimization arithmetic with the back propagation (BP) neural network approximation model. Finally, it processes the robust aerodynamic optimization design of the winglet by taking the swept angle, deflection angle and height of the airliner as design variables. The surface pressure contour, pressure distribution of the wing section and load distribution of the initial and optimized winglet are analyzed. The results show that the optimized winglet has significantly better aerodynamic characteristics.

Cite this article

HUANG Jiangtao , GAO Zhenghong , BAI Junqiang , ZHAO Ke , LI Jing , XU Fang . Study of Robust Winglet Design Based on Arbitrary Space Shape FFD Technique[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2013 , 34(1) : 37 -45 . DOI: 10.7527/S1000-6893.2013.0005

References

[1] Fang B R. Airplane aerodynamic design. Beijing: Aviation Industry Press, 1997: 1126-1160. (in Chinese) 方宝瑞. 飞机气动布局设计. 北京: 航空工业出版社,1997: 1126-1160.
[2] Zhang Y, Sun G, Zhang M, et al. The optimal design of civil aircraft winglet with multiple constraint. Acta Aerodynamica Sinica, 2006, 24(3): 367-370. (in Chinese) 张雨, 孙刚, 张淼, 等. 民用飞机翼梢小翼多约束优化设计. 空气动力学学报, 2006, 24(3): 367-370.
[3] Kubrynski K. Wing-winglet design methodology for low speed applications. AIAA-2003-215, 2003.
[4] Maughmer M. The design of winglets for high-performance sailplanes. AIAA-2001-2406, 2001.
[5] Wu X S, Shi X J,Wang J P.Data optimization and wind tunnel test of UAV winglets.Flight Dynamics, 2004, 22(1): 30-36.(in Chinese) 吴希拴, 师小娟, 王建培. 无人机翼尖小翼参数化优化及风洞试验研究. 飞行力学, 2004, 22(1): 30-36.
[6] Andreoli M, Janka A, Desideri J A. Free-form-deformation parameterization for multilevel 3D shape optimization in aerodynamics. INRIA Research Report 5019, 2003.
[7] Sederberg T W, Parry S R. Freeform deformation of solid geometric models. Computer Graphics, 1986, 22(4): 151-160.
[8] Zhu X X. Free curve and surface modeling techniques. Beijing: Science Press, 2000: 236-250.(in Chinese) 朱心雄. 自由曲线曲面造型技术. 北京: 科学出版社,2000: 236-250.
[9] Baker T J. Unstructured meshes and surface fidelity for complex shapes. AIAA-1991-1591, 1991.
[10] Liu X Q, Qin N. Fast dynamic grid deformation based on Delaunay graph mapping. Journal of Computational Phy-sics, 2006(211): 405-423.
[11] Leatham M, Stokes S, Shaw J A, et al. Automatic mesh generation for rapid-response Navier-Stokes calculations. AIAA-2000-2247, 2000.
[12] Chew L P, Constrained Delaunay triangulations. Algorithmic, 1989(4): 97-108.
[13] Devroye L, Mucke E, Zhu B. A note on point location of Delaunay triangulation of random points. Algorithmic, 1998, 22(4): 477-482.
[14] Pepper D W, Heinrich J C, The finite element method: basic concepts and applications. Hemisphere Publishing Corporation, 1992.
[15] Wang X. Study on an algorithm for fast constructing Delaunay triangulation an 3D visualization in OpenGL environment. Science Technology and Engineering, 2011, 11(9): 2070-2074. (in Chinese) 王星.快速构建Delaunay三角网算法研究及OpenGL下三维可视化.科学技术与工程, 2000, 11(9): 2070-2074.
[16] Menter F R. Two-equation eddy viscosity turbulence models for engineering applications. AIAA Journal, 1994, 32(8): 269-289.
[17] Kennedy J. The particle swarm: social adaptation of knowledge. IEEE International Conference on Evolutionary Computation, 1997: 303-308.
[18] Li X A, Zhang X G. Neural network and neural computer introduction. Xi’an: Northwestern Polytechnical University Press, 1994. (in Chinese) 李小安, 张晓缋. 神经网络与神经计算机导论. 西安: 西北工业大学出版社, 1994.
[19] Moody J E, Darken C J. Fast learning in networks of locally-tuned processing units. Neural Computation, 1989, 1(2): 281-294.
Outlines

/