The rapid development of modern industrial technology has led to the increase of machinery precision. Laser tracking measurement systems represent a novel type of coordinate measurement method, which was developed on the basis of metrology. In this paper, we aim to define a single-station 3D coordinate rotating laser tracking measurement system based on the principle of the space coordinate method. In view of the current architecture and optical path of the system, we establish the ideal mathematical model of the system and derive the coordinate expression for arbitrary measured points in the measurement space. The output response of the photoelectric position detector to the rotating laser and the linearity of the position signal in the detection circuit have been detected via a concrete experiment. A laser tracking system was used to track the target mirror mounted on the coordinate measuring machine measuring spindle. It is shown that stable tracking is possible during the 3D movement of a cat's eye retroreflector if its velocity is 0.2 m/s and the distance to the moving object is 1–2 m. The corresponding velocity of the object must be 0.4 m/s. Our system provides a feasible implementation method for the tracking of the moving target space position.
Citation: Jin Liu, Fan Zhang, Aleksey Kudreyko, Wenjia Ren, Haima Yang. Novel laser tracking measurement system based on the position sensitive detector[J]. Mathematical Biosciences and Engineering, 2023, 20(1): 572-586. doi: 10.3934/mbe.2023026
The rapid development of modern industrial technology has led to the increase of machinery precision. Laser tracking measurement systems represent a novel type of coordinate measurement method, which was developed on the basis of metrology. In this paper, we aim to define a single-station 3D coordinate rotating laser tracking measurement system based on the principle of the space coordinate method. In view of the current architecture and optical path of the system, we establish the ideal mathematical model of the system and derive the coordinate expression for arbitrary measured points in the measurement space. The output response of the photoelectric position detector to the rotating laser and the linearity of the position signal in the detection circuit have been detected via a concrete experiment. A laser tracking system was used to track the target mirror mounted on the coordinate measuring machine measuring spindle. It is shown that stable tracking is possible during the 3D movement of a cat's eye retroreflector if its velocity is 0.2 m/s and the distance to the moving object is 1–2 m. The corresponding velocity of the object must be 0.4 m/s. Our system provides a feasible implementation method for the tracking of the moving target space position.
[1] | Y. Y. Yin, Y. M. Guo, A study on the measurement coordinate system of various large-scale measuring instruments, Metrol. Meas. Technol., 36 (2016), 10-15. |
[2] | H. Nouira, J. P. Wallerand, M. Malak, A. F. Obaton, J. Salgado, T. Bourouina, Miniature silicon Michelson interferometer characterization for dimensional metrology, Sensors Actuators A Phys., 223 (2015), 141-150. https://doi.org/10.1016/j.sna.2014.12.031 doi: 10.1016/j.sna.2014.12.031 |
[3] | Q. X. Lu, X. H. Lu, Design of robot laser global positioning system based on dynamic tracking measurement, Laser J., 40 (2019), 188-191. |
[4] | X. D. Zhang, K. Bu, Y. W. Dong, X. J. Li, Fast and precise positioning method for three-coordinate measurement of complex curved surface parts based on iterative algorithm, J. Aerosp. Power, 33 (2018), 2525-2532. https://doi.org/10.13224/j.cnki.jasp.2018.10.026 doi: 10.13224/j.cnki.jasp.2018.10.026 |
[5] | Z. L. Yang, Y. S. Chen, X. G. San, Y. H. Zhang, Z. Y. Wu, Design of data acquisition and transmission system for spot detection of four quadrant detectors, LCD Disp., 31 (2016), 80-86. https://doi.org/10.3788/YJYXS20163101.0080 doi: 10.3788/YJYXS20163101.0080 |
[6] | Y. J. Peng, L. H. Li, X. S. Tang, R. Gao, Response characteristics of position sensitive detector under oblique incidence condition, Semicond. Photonics Technol., 15 (2009), 56-74. |
[7] | M. H. Jun, Y. M. Kim, Accuracy evaluation of robotic tonometry pulse sensor system based on radial artery pulse wave simulator, IEEE Trans. Instrum. Meas., 69 (2020), 7646-7657. https://doi.org/10.1109/TIM.2020.2981107 doi: 10.1109/TIM.2020.2981107 |
[8] | E. Shim, Y. Kim, D. Lee, B. H. Lee, S. Woo, K. Lee, 2D-3D registration for 3D analysis of lower limb alignment in a weight-bearing condition, Appl. Math., 33 (2018), 59-70. https://doi.org/10.1007/s11766-018-3459-2 doi: 10.1007/s11766-018-3459-2 |
[9] | X. M. Garcia-Cruz, O. Y. Sergiyenko, V. Tyrsa, M. Rivas-Lopez, D. Hernandez-Balbuena, J. C. Rodriguez-Quiñonez, et al., Optimization of 3D laser scanning speed by use of combined variable step, Optics Lasers Eng., 54 (2014), 141-151. https://doi.org/10.1016/j.optlaseng.2013.08.011 doi: 10.1016/j.optlaseng.2013.08.011 |
[10] | J. C. Rodríguez-Quiñonez, O. Sergiyenko, W. Flores-Fuentes, M. Rivas-lopez, D. Hernandez-Balbuena, R. Rascón, et al., Improve a 3D distance measurement accuracy in stereo vision systems using optimization methods' approach, Opto-Electronics Rev., 25 (2017), 24-32. https://doi.org/10.1016/j.opelre.2017.03.001 doi: 10.1016/j.opelre.2017.03.001 |
[11] | L. Lindner, O. Sergiyenko, J. C. Rodríguez-Quiñonez, V. Tyrsa, P. Mercorelli, W. F. Fuentes, et al., Continuous 3D scanning mode using servomotors instead of stepping motors in dynamic laser triangulation, in 2015 IEEE 24th International Symposium on Industrial Electronics (ISIE), (2015), 944-949. https://doi.org/10.1109/ISIE.2015.7281598 |
[12] | C. Bányász, L. Keviczky, R. Bars, How to teach control system optimization (a practical decompisition approach for the optimization of TDOF control systems), IFAC PapersOnLine, 52 (2019), 115-120. https://doi.org/10.1016/j.ifacol.2019.08.134 doi: 10.1016/j.ifacol.2019.08.134 |
[13] | K. N. Song, B. Wang, C. Y. Tang, Research on indoor positioning method based on laser ranging scan, Laser Infrared, 46 (2016), 938-942. https://doi.org/10.3969/j.issn.1001-5078.2016.08.006 doi: 10.3969/j.issn.1001-5078.2016.08.006 |
[14] | A. Gleadall, N. Vladov, J. Segal, S. Ratchev, M. Plasch, D. Kimmig, et al., A decision support methodology for embodiment design and process chain selection for hybrid manufacturing platforms, Int. J. Adv. Manuf. Technol., 87 (2016), 553-569. https://doi.org/10.1007/s00170-016-8514-7 doi: 10.1007/s00170-016-8514-7 |
[15] | F. G. Galizia, H. ElMaraghy, M. Bortolini, C. Mora, Product platforms design, selection and customisation in high-variety manufacturing, Int. J. Prod. Res., 58 (2020), 893-911. https://doi.org/10.1080/00207543.2019.1602745 doi: 10.1080/00207543.2019.1602745 |
[16] | W. L. Liu, X. H. Qu, J. F. Ouyang, Modeling and simulation of laser tracking measurement system, J. Petrochem. Univ., 20 (2007), 50-53. https://doi.org/10.1108/03684921211275207 doi: 10.1108/03684921211275207 |
[17] | J. K. Jang, S. H. Abbas, J. R. Lee, Investigation of underwater environmental effects in rotating propeller blade tracking laser vibrometric measurement, Optics Laser Technol., 132 (2020), 106460. https://doi.org/10.1016/j.optlastec.2020.106460 doi: 10.1016/j.optlastec.2020.106460 |
[18] | G. Guo, J. Han, J. Lv, J. Mu, L. Guo, L. Y. Li, Experimental study on the influence of three-coordinate touch direction on measurement accuracy, Aerosp. Manuf. Technol., 6 (2015), 18-20. |
[19] | A. Formato, D. Guida, D. Ianniello, F. Villecco, T. L. Lenza, Pellegrino, A design of delivery valve for hydraulic pumps, Machines, 6 (2018), 44. https://doi.org/10.3390/machines6040044 doi: 10.3390/machines6040044 |
[20] | S. Xiao, X. Ge, Q. L. Han, Y. Zhang, Z. Cao, Distributed guaranteed two-target tracking over heterogeneous sensor networks under bounded noises and adversarial attacks, Inf. Sci., 535 (2020), 187-203. https://doi.org/10.3390/machines6040044 doi: 10.3390/machines6040044 |
[21] | W. Q. Song, L. He, Z. Enrico, Long-range dependence and heavy tail characteristics for remaining useful life prediction in rolling bearing degradation, Appl. Math. Modell., 102 (2022), 268-284. https://doi.org/10.1016/j.apm.2021.09.041 doi: 10.1016/j.apm.2021.09.041 |
[22] | S. Duan, W. Q. Song, E. Zio, C. Cattani, M. Li, Product technical life prediction based on multi-modes and fractional Lévy stable motion, Mech. Syst. Signal Process., 161 (2021), 107974. https://doi.org/10.1016/j.ymssp.2021.107974 doi: 10.1016/j.ymssp.2021.107974 |