1. Collage of Metrology and Measurement Engineering, China Jiliang University, Hangzhou, Zhejiang 310018, China
2. National Institute of Metrology, Beijing 100029, China
Abstract:To study the influence of stations mutual position relationship on the measurement accuracy of multilateration system, an error transfer model was derived from the coordinate solution formula.The formula related to the error amplification factor and the station layout parameters in the model are studied and analyzed.From this formula, it can be concluded that increasing two key layout parameters within a certain range can improve the measurement accuracy of the system, which has been verified through simulation and experiments. The experimental results showed that the repeatability error of the system can be reduced from 20μm to 10μm when the key layout parameters were increased from 1m to 3m, and the optimization effect was obvious. Meanwhile, the systems with similar layout parameters had been compared, whose stations were at different locations. The results showed that the different locations of stations in system rarely affected the system precision while systems layout parameters were almost consistent, and suggested that method proposed can improve the measurement accuracy and had flexibility.
Ning Q Q, Liu C L, Luo Z N, et al. A Method of Measuring and Data Processing of Main Rail Installation of Rocket Skid Rail Based on Laser Tracker [J].Geomatics & Spatial Information Technology, 2022, 45(7): 23-27.
Zhang S, Miao D J, Li J S, et al. Influence of Tracking Mode on Measurement Accuracy in Multi-Purpose Pose Measurement System [J]. Acta Metrologica Sinica, 2020, 41(9): 1055-1061.
Zhang X L, Zhao Z J, Zhang B, et al.A new method for measuring the centroid of the large winged aircraft[J]. Chinese Journal of Scientific Instrument , 2022, 43(8): 93-100.
Zhao J G, Tai C L, Liu Z, et al. Establishment and application of large-volume multi-system measurement field for aircraft assembly [J]. Aeronautical Manufacturing Technology, 2022, 65(5): 63-67.
Wang T, Zhou W H, Dong L, et al. Research on the Accuracy of Control Network Measured by Laser Tracker in Particle Accelerator [J/OL]. Journal of Wuhan University (Information Science Edition), http: //kns.cnki.net/kcms/detail/42.1676.TN.20211108.1835.004.html.
Liu H G, Cai Q M, Li Q, et al. Research on Indoor 200m Virtual Baseline Measurement Method[J]. Acta Metrologica Sinica, 2021, 42(11): 1425-1429.
[10]
Wang Z, Forbes A, Maropoulos P. Laser tracker position optimization [C]//Proceedings of the 8th International Conference on Digital Enterprise. Bath, UK, 2014.
Zhang H, Yu X, Wang B. Precision adaptive building method for large scale coordinate measuring network [J]. Journal of Electronic Measurement and Instrument, 2016, 30(11): 1664-1670.
Ren Y, Liu F, FU Y, et al. Placement Optimization of Laser Multilateration Network [J]. Laser & Optoelectronics Progress, 2019, 56(1): 167-172.
[13]
Takatsuji T, Goto M, Kirita A, et al. The relationship between the measurement error and the arrangement of laser trackers in laser trilateration [J]. Measurement Science & Technology, 2000, 49(5): 477-483.
Koppert N, Franke M, Keller F, et al. Recent developments on an interferometric multilateration measurement system for large volume coordinate metrology [J]. 2022, 33(3): 035004.
Sun A B, Cao T Z, Wang J H, et al. Technological Development Trends of Geometric Dimension Measurements of Large Parts in the High-end Equipment [J]. Metrology and Measurement Technology, 2021, 41(2): 41-50.
Zheng J H, Miao D J, Li J S, et al. Self-calibration Algorithm for Laser Multilateral Coordinate Measurement System Using Standard Length Method [J]. Acta Metrologica Sinica, 2019, 40(1): 64-70.
He J, Zhang F, Zhang H, et al. Multilateral laser tracking system self-calibration method based on spherical center fitting [J]. Infrared and Laser Engineering, 2020, 49(8): 133-139.
Lin Y B, Zhang G X, Li Z, et al. Optimal Arrangement of Four-beam Laser Tracking System for 3D Coordinate Measurement [J]. Chinese Journal of Lasers, 2002, 29(11): 1000-1005.
Hu J, Yu X, Peng P, et al. Layout Optimization of Three-Dimensional Coordinate Measurement System Based on Laser Multi-Lateraion [J].Chinese Journal of Lasers, 2014, 41(1): 185-190.
Hu J, Yu X, Ren X, et al. Optimal Layout of Three-Dimansional Coordinate Measurement System Based on Laser Multi-Lateration [J]. Chinese Journal of Lasers, 2014, 41(7): 183-189.
Zou J G, Yang D L. Measurement Accuracy Analysis of Multilateral Method Based on Optimal Layout with Non-directional Point Calibration [J]. Journal of Wuhan University (Information Science Edition), 2022, 47(10): 1758-1765.
Sun W, Miao D J, Li J S, et al. Study on the Influence of the Calculation Method on the Accuracy of the Multilateral Coordinate Measurement System[J]. Acta Metrologica Sinica, 2021, 42(5): 558-563.