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| Compensation method for registration error of laser tracker based on three-dimensional anisotropic thermal-deformation theory |
| YU Ci-jun1, YANG Bao-liu1, JIN Zhang-jun1, LI Jiang-xiong1, KE Ying-lin1, LI Ming-fei2,FANG Qiang1 |
| 1. Department of Mechanical Engineering, Zhejiang University, Hangzhou 310027, China; 2.AVIC Shanxi Aircraft Industry Group Limited Company, Hangzhou 723313 ,China |
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Abstract A compensation method was proposed to reduce the registration error rising from the movement of ERS points (points of enhanced reference system) due to the alteration of temperature in order to improve measurement accuracy in the aircraft assembly process. An anisotropic three-dimensional thermal-deformation model was constructed to correct the coordinates of the ERS points based on the thermal-deformation theory. Then an objective function for least-squares optimization, which is a weighted distance error between the corrected coordinates and the nominal coordinates, was constructed. The 3σ criterion was applied to filter the ERS points, and some outliers were rejected. The Nelder-Mead method was used to acquire the points by satisfying the 3σ criterion and the optimal registration parameters. The engineering example showed that outliers were effectively excluded, the registration error was reduced and the accuracy of the measurement assembly system was improved by using this new method．
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Published: 10 September 2015
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基于三维热变形原理的转站误差补偿方法
为了提高飞机装配大尺寸测量精度, 提出针对公共观测(ERS)点热变形引起的转站误差的补偿方法. 该方法基于物体的热变形理论建立工装各向异性的三维热变形模型, 对ERS点的实际位置进行修正, 构建修正后的ERS点位置和理论位置之间的最小加权距离误差函数作为优化模型. 转站过程中采用3σ准则对参与转站的ERS点进行筛选, 剔除超差的异常点. 采用单纯形法求解该优化模型, 获得满足3σ准则的转站点组和最优转站参数. 工程算例表明, 采用该方法可以有效地剔除异常点并减少转站误差, 提高了装配系统的测量精度.
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| ［1］韩清华, 郑保, 郭宏利, 等. 采用激光跟踪仪测量飞机外形［J］. 航空计测技术, 2004, 24 (1): 15-17．
HAN Qing-hua, ZHENG Bao, GUO Hong-li, et al. Measurement of aircraft outline by using laser tracker equipment ［J］. Aviation Metrology and Measurement Technology, 2004, 24 (1): 15-17．
［2］蔡闻峰, 周惠群, 何颖. 激光跟踪仪在无人飞机总装中的应用［J］. 工具技术, 2006, 40 (8): 77-80．
CAI Wen-feng, ZHOU Hui-qun, HE Ying. Study and application for UAV assemble by laser tracker ［J］. Tool Engineering, 2006, 40 (8): 77-80.
［3］费业泰. 机械温度变形理论及应用［M］. 北京: 国防工业出版社, 2009.
［4］WANG Zheng-yan, JEPSON Allan. A new closed-form solution for absolute orientation ［C］∥Proceedings of CVPR’94. Seattle: IEEE, 1994: 129-134.
［5］俞慈君, 李江雄, 余锋杰, 等. 带工程约束的点匹配算法［J］. 机械工程学报, 2010, 46(5): 183-190．
YU Ci-jun, LI Jiang-xiong, YU Feng-jie, et al. 3D points registration algorithm with engineering constraints ［J］. Journal of Mechanical Engineering, 2010, 46(5): 183-190．
［6］HORN B K P, HILDEN H, NEGAHDARIPOUR S. Closed-form solution of absolute orientation using orthonormal matrices ［J］. Journal of the Optical Society of America A, 1988, 5：1127-1135．
［7］蔡自兴. 机器人学［M］. 北京：清华大学出版社, 2000．
［8］ARUN K S, HUANG T S, BLOSTEIN S D. Least-squares fitting of two 3-D point sets ［J］. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1987, 9(5): 698-700．
［9］费业泰, 罗哉. 精密技术中热变形误差影响的基本问题［J］. 纳米技术与精密工程, 2003, 46(5): 183-190．
FEI Ye-tai, LUO Zai. Basic problems about thermal deformation error in precision technology ［J］. Nanotechnology and Precision Engineering, 2003,46(5): 183-190．
［10］姚恩瑜, 何勇, 陈仕平. 数学规划与组合优化［M］. 杭州：浙江大学出版社, 2001.
［11］林雪松. MATLAB 70应用集锦［M］. 北京：机械工业出版社, 2006.
［12］王岩. 试验设计与MATLAB数据分析［M］. 北京：清华大学出版社, 2012. |
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