Development of a generalized surface partition and projection system for missile radome
-
摘要:
根据导弹雷达罩频率选择表面(FSS)的设计要求,研究发展了一种通用的雷达罩曲面的分片、展开算法和相关应用软件系统。算法对任意
C 2连续曲面,以高斯曲率的绝对值对分片面积的积分与曲面总面积的比值作为曲面是否可展的评定参数,并以此为阈值对不可展开外形雷达罩曲面进行近似分片;使用构造十字基带展开法对分片展开为平面形状。在以上算法基础上,首先使用MFC开发了应用程序框架,并采用OpenGL显示雷达罩曲面的分片操作,最后对分片数据输出AutoCAD格式便于分片贴层材料的切割加工。某型非旋成体导弹头罩的算例表明本文发展的导弹雷达罩曲面分片与展开算法有较高的精度,满足工程设计要求。Abstract:To meet the technical requirements of missile radome frequency selective surface (FSS), a partition and projection system of radome surface was proposed and developed. Based on the study of approximate partition and projection of complex surface, the partition coefficient was defined as the ratio of the integration of the absolute value of Gaussian curvature to its area, and the controlling value for surface partition is the summation of partition coefficient of the accumulated surface elements; the surface partitions was projected into 2D shapes by using cross baseband expansion method. On the basis of the above algorithms and data operation, an application framework was developed by using MFC, and the surface data operation was visualized with OpenGL. The surface projection data can be exported into AutoCAD format for subsequent fabrication. A successful application for a missile radome surface demonstrates that, the partition/projection method has high accuracy and satisfies the design requirements.
-
Key words:
- missile /
- radome /
- Gaussian curvature /
- surface partition /
- computer graphics
-
表 1 分片展开后的面积误差
Table 1. Area error after projection of partitions
曲面编号 1 2 3 4 5 6 7 8 9 Serror/% 2.513 64 2.394 64 6.031 60 9.512 05 7.533 31 6.413 17 2.121 63 2.659 73 5.509 07 -
[1] 张建.有限大频率选择表面及其在雷达罩上的应用研究[D].北京:中国科学院研究生院, 2015:3-8. http://cdmd.cnki.com.cn/Article/CDMD-80139-1015345958.htmZHANG J.Research on finite frequency selective surface and its application on radome[D].Beijing:Graduate University of Chinese Academy of Sciences, 2015:3-8(in Chinese). http://cdmd.cnki.com.cn/Article/CDMD-80139-1015345958.htm [2] 王秀芝, 高劲松, 徐念喜.Ku/Ka波段双通带频率选择表面雷达罩设计研究[J].物理学报, 2013, 62(23):324-330. http://www.cnki.com.cn/Article/CJFDTOTAL-WLXB201323046.htmWANG X Z, GAO J S, XU N X.Design and study on the dual-band radome with FSS operation at Ku-/Ku-band[J].Acta Physica Sinica, 2013, 62(23):324-330(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-WLXB201323046.htm [3] 侯新宇, 张澎, 卢俊, 等.一种双曲率雷达罩的频率选择表面分片设计[J].弹箭与制导学报, 2006, 26(1):123-125. http://www.cnki.com.cn/Article/CJFDTOTAL-DJZD200601040.htmHOU X Y, ZHANG P, LU J, et al.A novel frequency selective surfaces path design for double curved radome[J].Journal of Projectiles, Rockets, Missiles and Guidance, 2006, 26(1):123-125(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-DJZD200601040.htm [4] 李旭惠, 王俊彪, 张贤杰.应用高斯曲率积分的曲面可展化分片方法研究[J].计算机工程与应用, 2011, 47(6):202-204. http://www.cnki.com.cn/Article/CJFDTOTAL-JSGG201106057.htmLI X H, WANG J B, ZHANG X J.Developable surface partition algorithm based on Gaussian curvature integration[J].Computer Engineering and Applications, 2011, 47(6):202-204(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-JSGG201106057.htm [5] 王红艳.三角网格曲面优化展开技术研究[D].哈尔滨:哈尔滨工业大学, 2013:25-30. http://cdmd.cnki.com.cn/Article/CDMD-10213-1014003552.htmWANG H Y.Research on optimization for triangular mesh surface flattening technology[D].Harbin:Harbin Institute of Technology, 2013:25-30(in Chinese). http://cdmd.cnki.com.cn/Article/CDMD-10213-1014003552.htm [6] 陈动人, 王国瑾.基于伪直母线的复杂曲面自适应分片与展开[J].软件学报, 2003, 14(3):660-665. http://www.cnki.com.cn/Article/CJFDTOTAL-RJXB200303059.htmCHENG D R, WANG G J.A complex surface adaptive segment and development algorithm based on its quasi-rulings[J].Journal of Software, 2003, 14(3):660-665(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-RJXB200303059.htm [7] 蒋威.不可展曲面的近似展开及其应用[D].上海:复旦大学, 2013:11-14.JIANG W.Approximation algorithms for undevelopable surfaces and its application[D].Shanghai:Fudan University, 2013:11-14(in Chinese). [8] 王纪清.三维钣金展开与工艺规划的研究[D].西安:西安工业大学, 2012:23-35. http://cdmd.cnki.com.cn/Article/CDMD-10702-1012325499.htmWANG J Q.Research on the 3D sheet metal flattening and process planning[D].Xi'an:Xi'an Technological University, 2012:23-35(in Chinese). http://cdmd.cnki.com.cn/Article/CDMD-10702-1012325499.htm [9] 李占利, 刘小靖, 孙瑜.基于弹簧-质点模型的不规则曲面纹理映射[J].计算机工程与设计, 2014, 35(10):3545-3548. http://www.cnki.com.cn/Article/CJFDTOTAL-SJSJ201410036.htmLI Z L, LIU X J, SUN Y.Texture mapping for irregular surface based on spring-mass model[J].Computer Engineering and Design, 2014, 35(10):3545-3548(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-SJSJ201410036.htm [10] ITO Y, NAKAHASHI K.Direct surface triangulation using stereolithography data[J].AIAA Journal, 2002, 40(3):490-496. doi: 10.2514/2.1672 [11] BAKER T J.Identification and preservation of surface features[C]//Proceedings of 13th International Meshing Roundtable.Williamburg:Sandia National Laboratories, 2004:299-310. [12] BOROUCHAKI H, VILLARD J, LAUG P, et al.Surface mesh enhancement with geometric singularities identification[J].Computer Methods in Applied Mechanics and Engineering, 2005, 194(48):4885-4894. https://www.researchgate.net/publication/228619578_Surface_mesh_enhancement_with_geometric_singularities_identification?_sg=JX3sEM7o90klTRQrfmFsrMFEfuZbYJGi43ttNJ_TZB8vQ97WSH74TYci1lWxZNZiV9pjm34T3pm7M_1wvR5AmA [13] 杨晟院, 舒适, 朱少茗.基于STL文件的三角形表面网格的特征线提取[J].计算机工程与应用, 2008, 44(4):14-19. http://www.cnki.com.cn/Article/CJFDTOTAL-JSGG200804007.htmYANG S Y, SHU S, ZHU S M.Feature line extraction from triangular meshes based on STL files[J].Computer Engineering and Applications, 2008, 44(4):14-19(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-JSGG200804007.htm [14] 毛昕, 马明旭.曲面映射与展开中的几何分析[M].北京:清华大学出版社, 2013:7-17.MAO X, MA M X.Geometric analysis of surface mapping and deployed[M].Beijing:Tsinghua University Press, 2013:7-17(in Chinese). [15] 孙新申.不可展曲面近似展开和内部结构映射方法研究[D].西安:西北工业大学, 2004:13-21. http://cdmd.cnki.com.cn/Article/CDMD-10699-2004062976.htmSUN X S.Study on approximate expansion and internal structure mapping method of non-developable surface[D].Xi'an:Northwestern Polytechnical University, 2004:13-21(in Chinese). http://cdmd.cnki.com.cn/Article/CDMD-10699-2004062976.htm [16] SHREINER D, SELLERS G, KESSENICH J M, et al.OpenGL programming guide:The official guide to learning OpenGL, Version 4.3[M].Upper Saddle River:Addison-Wesley, 2013:31-115. [17] 王浩然, 梁彦刚, 陈磊.空间态势场景中OpenGL视点控制策略与实现[J].太赫兹科学与电子信息学报, 2015, 13(2):302-307. http://www.cnki.com.cn/Article/CJFDTOTAL-XXYD201502024.htmWANG H R, LIANG Y G, CHEN L.OpenGL viewpoint control strategy and implementation in space situation scene[J].Journal of Terahertz Science and Electronic Information Technology, 2015, 13(2):302-307(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-XXYD201502024.htm [18] 邢海蛟.基于AutoCAD图形数控切割的应用研究[D].哈尔滨:哈尔滨理工大学, 2015:18-30. http://cdmd.cnki.com.cn/Article/CDMD-10214-1015576304.htmXING H J.The application study of graphic CNC cutting system based on AutoCAD[D].Harbin:Harbin University of Science and Technology, 2015:18-30(in Chinese). http://cdmd.cnki.com.cn/Article/CDMD-10214-1015576304.htm [19] 石鑫.AutoCAD环境下DXF文件格式分析与处理[D].沈阳:沈阳航空航天大学, 2015:14-16.SHI X.File format analysis and process of AutoCAD DXF[D].Shenyang:Shenyang Aerospace University, 2015:14-16(in Chinese).