基于Kriging模型插值的孔位修正策略

doi:10.7527/S1000-6893.2019.23499

材料工程与机械制造

本期目录 | 过刊浏览 | 高级检索

前一篇 | 后一篇

基于Kriging模型插值的孔位修正策略

石循磊¹, 张继文¹, 刘顺涛², 陈恳¹

1. 清华大学机械工程系, 北京 100084;
2. 航空工业成都飞机工业(集团)有限责任公司, 成都 610091

收稿日期:2019-09-14 修回日期:2019-10-10 出版日期:2020-09-15 发布日期:2020-01-19
通讯作者: 陈恳 E-mail:kenchen@tsinghua.edu.cn
基金资助:
摩擦学国家重点实验室资助项目（SKLT2019C08）

Correction strategy for hole positions based on Kriging interpolation

SHI Xunlei¹, ZHANG Jiwen¹, LIU Shuntao², CHEN Ken¹

1. Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China;
2. AVIC Chengdu Aircraft Industrial(Group) Co., LTD, Chengdu 610091, China

Received:2019-09-14 Revised:2019-10-10 Online:2020-09-15 Published:2020-01-19
Supported by:
State Key Laboratory of Tribology Program (SKLT2019C08)

摘要/Abstract

摘要： 飞机装配时的孔位精度直接影响其最终装配质量，而待制孔零件易发生变形和整体偏移，因此一般通过基准孔信息对待制孔位进行补偿。提出一种基于Kriging插值的孔位修正方法，通过基准孔建立孔位理论坐标与实际偏差值的Kriging模型，进而预测待制孔的孔位偏差，并给出每个位置的预测标准误差，以指导基准孔的增添和布置。最后通过有限元和数值实验分别验证了零件在极限变形和整体平移旋转情况下该方法的有效性，实现了孔位估计误差小于0.3 mm。

关键词: 飞机装配, 孔位, Kriging插值, 基准孔, 修正策略

Abstract: Hole position accuracy in aircraft assembly directly affects the final assembly quality, while parts to be holed are prone to deformation and overall offset. Therefore, the hole position is generally compensated by reference hole information. In this paper, a method of hole position correction based on the Kriging interpolation is proposed. The Kriging model of theoretical coordinates and the actual deviation of hole position are established through reference hole, and then the deviation of hole to be made is predicted. The prediction root mean square error of each position is given to guide the addition and layout of the reference hole. Finally, the effectiveness of the method under the condition of ultimate deformation or overall translation and rotation is verified by the finite element method and numerical experiments. The hole position estimation error is less than 0.3 mm.

Key words: aircraft assembly, hole position, Kriging interpolation, reference hole, correction strategy

中图分类号:

V262.4

石循磊, 张继文, 刘顺涛, 陈恳. 基于Kriging模型插值的孔位修正策略[J]. 航空学报, 2020, 41(9): 423499-423499.

SHI Xunlei, ZHANG Jiwen, LIU Shuntao, CHEN Ken. Correction strategy for hole positions based on Kriging interpolation[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(9): 423499-423499.

参考文献 20

[1]	ZHAN Q, WANG X. Hand-eye calibration and positioning for a robot drilling system[J]. The International Journal of Advanced Manufacturing Technology, 2012, 61(5-8):691-701.
[2]	TANG N, LI Y, LIU P, et al. Bi-directional obtaining and offline compensation method of locating error for airplane panel[J]. Systems Engineering and Electronics, 2012, 34(3):631-636.
[3]	严伟苗. 大型飞机壁板装配变形控制与校正技术研究[D]. 杭州:浙江大学, 2015. YAN W M. Study on technologies for controlling and correcting large aircraft panel assembly deformation[D]. Hangzhou:Zhejiang University, 2015(in Chinese).
[4]	ZHU W, MEI B, YAN G, et al. Measurement error analysis and accuracy enhancement of 2D vision system for robotic drilling[J]. Robotics and Computer-Integrated Manufacturing, 2014, 30(2):160-171.
[5]	TIAN W, ZENG Y, ZHOU W, et al. Calibration of robotic drilling systems with a moving rail[J]. Chinese Journal of Aeronautics, 2014, 27(6):1598-1604.
[6]	BRISTOW J W, IRVING P E. Safety factors in civil aircraft design requirements[J]. Engineering Failure Analysis, 2007, 14(3):459-470.
[7]	涂国娇. 环形轨自动化制孔系统孔位修正方法研究[D]. 杭州:浙江大学, 2015. XU G J. Study on correcting method of hole position for a flexible track automatic drilling system[D]. Hangzhou:Zhejiang University, 2015(in Chinese).
[8]	唐伟. 一类蒙皮/长桁壁板结构预连接工艺优化方法研究[D]. 杭州:浙江大学, 2017. TANG W. Study on optimization methods of pre-joining processes for a class of skin-stringer panel structures[D]. Hangzhou:Zhejiang University, 2017(in Chinese).
[9]	刘光孟, 汪云甲, 张海荣, 等. 空间分析中几种插值方法的比较研究[J]. 地理信息世界, 2011, 9(3):41-45. LIU G M, WANG Y J, ZHANG H R, et al. Comparative study of several interpolation methods on spatial analysis[J]. Geomatics World, 2011, 9(3):41-45(in Chinese).
[10]	ZHU W, QU W, CAO L, et al. An off-line programming system for robotic drilling in aerospace manufacturing[J]. The International Journal of Advanced Manufacturing Technology, 2013, 68(9-12):2535-2545.
[11]	周叔阳, 韩志仁, 郭喜锋, 等. 模拟退火算法在预连接孔排布中的应用研究[J]. 机械科学与技术, 2019, 38(6):959-962. ZHOU S Y, HAN Z R, GUO X F, et al. Application research of simulated annealing algorithm in pre-connected hole arrangement[J]. Mechanical Science and Technology for Aerospace Engineering, 2019, 38(6):959-962. (in Chinese).
[12]	董辉跃, 周华飞, 尹富成. 机器人自动制孔中绝对定位误差的分析与补偿[J]. 航空学报, 2015, 36(7):2475-2484. DONG H Y, ZHOU H F, YIN F C. Analysis and compensation for absolute positioning error of robot in automatic drilling[J]. Acta Aeronautica et Astronautica Sinica, 2015, 36(7):2475-2484(in Chinese).
[13]	王龙飞, 张丽艳, 叶南. 一种适用于曲面结构的机人制孔误差在线补偿技术[J]. 航空学报, 2019, 40(11):422871. WANG L F, ZHANG L Y, YE N. An on-line compensation technology for robotic drilling error suitable for curved structure[J]. Acta Aeronautica et Astronautica Sinica, 2019, 40(11):422871(in Chinese).
[14]	王青, 郑守国, 李江雄, 等. 基于孔边距约束和Shepard插值的孔位修正方法[J]. 航空学报, 2015, 36(12):4025-4034. WANG Q, ZHENG S G, LI J X, et al. A correction method for hole positions based on hole margin constraints and Shepard interpolation[J]. Acta Aeronautica et Astronautica Sinica. 2015, 36(12):4025-4034(in Chinese).
[15]	CRESSIE N. The origins of kriging[J]. Mathematical geology, 1990, 22(3):239-252.
[16]	张继文, 刘莉, 李昌硕, 等. 仿人机器人全方位步行参数的代理模型优化[J]. 机器人, 2016, 38(1):56-63. ZHANG J W, LIU L, LI C S, et al. Surrogate model based optimization for omni-directional walking parameters of humanoids[J]. Robot, 2016, 38(1):56-63(in Chinese).
[17]	SANTNER T J, WILLIAMS B J, NOTZ W, et al. The design and analysis of computer experiments[M]. New York:Springer, 2003.
[18]	JONES D R, SCHONLAU M, WELCH W J. Efficient global optimization of expensive black-box functions[J]. Journal of Global Optimization, 1998, 13(4):455-492.
[19]	ROUSTANT O, GINSBOURGER D, DEVILLE Y. DiceKriging, DiceOptim:Two R packages for the analysis of computer experiments by Kriging-based metamodeling and optimization[J]. Journal of Statistical Software, 2012, 51(1):54.
[20]	曾怀恩, 黄声享. 基于Kriging方法的空间数据插值研究[J]. 测绘工程, 2007, 16(5):5-8, 13. ZENG H E, HUANG S X. Research on spatial data interpolation based on Kriging interpolation[J]. Engineering of Surveying and Mapping, 2007, 16(5):5-8, 13(in Chinese).

E-mail：hkxb@buaa.edu.cn

关于我们

期刊社服务

专业学科

封面文章

友情链接

主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

基于Kriging模型插值的孔位修正策略

Correction strategy for hole positions based on Kriging interpolation

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献 20

相关文章 15

编辑推荐

Metrics

本文评价

[1]	荆涛, 田锡天. 基于蒙特卡洛-自适应差分进化算法的飞机容差分配多目标优化方法[J]. 航空学报, 2022, 43(3): 425278-425278.
[2]	石章虎, 何晓煦, 曾德标, 雷沛. 基于误差相似性的移动机器人定位误差补偿[J]. 航空学报, 2020, 41(11): 424105-424105.
[3]	陈文亮, 潘国威, 王珉. 基于力位协同控制的大飞机机身壁板装配调姿方法[J]. 航空学报, 2019, 40(2): 522403-522403.
[4]	王龙飞, 张丽艳, 叶南. 一种适用于曲面结构的机器人制孔误差在线补偿技术[J]. 航空学报, 2019, 40(10): 422871-422871.
[5]	潘国威, 陈文亮, 王珉. 应用于飞机装配的并联机构技术发展综述[J]. 航空学报, 2019, 40(1): 522572-522572.
[6]	何晓煦, 田威, 曾远帆, 廖文和, 向勇. 面向飞机装配的机器人定位误差和残差补偿[J]. 航空学报, 2017, 38(4): 420538-420538.
[7]	韩锋, 田威, 廖文和, 张旋, 王丽峰. 基于并联机构的轻型自主爬行钻铆系统法向调姿算法[J]. 航空学报, 2015, 36(6): 2083-2090.
[8]	王青, 郑守国, 李江雄, 柯映林, 陈磊. 基于孔边距约束和Shepard插值的孔位修正方法[J]. 航空学报, 2015, 36(12): 4025-4034.
[9]	刘胜兰, 罗志光, 谭高山, 叶南, 张丽艳. 飞机复杂装配部件三维数字化综合测量与评估方法[J]. 航空学报, 2013, 34(2): 409-418.
[10]	靳江艳, 黄翔, 卢鹄, 李泷杲. 飞机设计域向工装域映射机理研究[J]. 航空学报, 2012, 33(12): 2330-2337.
[11]	曲巍崴, 董辉跃, 柯映林. 机器人辅助飞机装配制孔中位姿精度补偿技术[J]. 航空学报, 2011, 32(10): 1951-1960.
[12]	郑国磊;李文杰;王自军. 某大型飞机舱门框工艺标准数字模型[J]. 航空学报, 2010, 31(8): 1674-1679.
[13]	刘楚辉;李江雄;董辉跃;王青;柯映林. 飞机机身-机翼接头精加工条件评价技术[J]. 航空学报, 2010, 31(6): 1272-1279.
[14]	郑国磊;朱心雄;许德;万世明. 飞机装配型架中骨架的数字化设计原理及实现[J]. 航空学报, 2005, 26(2): 229-233.
[15]	郑国磊;朱心雄;许德;万世明. 飞机装配型架接头定位器的自动设计[J]. 航空学报, 2004, 25(1): 79-83.