Academic Journal of Engineering and Technology Science, 2023, 6(2); doi: 10.25236/AJETS.2023.060205.
Zhang He
College of Mechanical and Engineering, Hunan University of Science and Technology, Xiangtan, China
In this paper, a rapid approach on predicting the positioning error with high precision and resolution through measuring the errors of transmission and power in ball-screw motion systems is proposed. The positioning error is considered as the superposition of the transmission error of screw-nut pair and the power error of the motor. The influences on the positioning error of assembly deviation and the deformation of the screw are analyzed according to the space geometry. Given the periodic characteristics of Fourier series, the comprehensive functions can be predicted by fragments. Thus, the method for predicting positioning errors by measuring a few values of transmission errors of screw-nut and that of motor errors is presented. A micro ball-screw motion system is measured to validate the method in the case study. The transmission error of the screw-nut was fitted into linear and trigonometric functions, and the motor error is fitted into sinusoidal curves. The two expressions at the same initial phase are superposed to predict the positioning errors. The coincidence between the measured results of positioning errors and the predicting spline proves the validity and precision of the rapid approach.
Positioning error model; Error analysis; Ball-screw motion system; Transmission error; Prediction
Zhang He. A rapid approach on predicting the positioning error in ball-screw motion systems. Academic Journal of Engineering and Technology Science (2023) Vol. 6, Issue 2: 29-39. https://doi.org/10.25236/AJETS.2023.060205.
[1] S.-M. Wang, J.-J. Lin, Z.-Z. Ye, S. Tsooj, C.-C. Wang (2014) A micro cutter auto-alignment system with on-machine positioning error measurement and compensation methods. Int J Precis Eng Man 15: 177-182.
[2] H. Shen, J. Fu, Y. He, X. Yao (2012) On-line Asynchronous Compensation Methods for static/quasi-static error implemented on CNC machine tools. Int J Mach Tool Manu 60: 14-26.
[3] N.A. Barakat, A.D. Spence, M.A. Elbestawi (2000) Adaptive compensation of quasi-static errors for an intrinsic machine. Int J Mach Tool Manu 40: 2267-2291.
[4] K. Wang, C.-G. Zhou, Y. Ou, H.-T. Feng (2021) Investigation of the transmission accuracy of ball screw considering errors and preloading level. Int J Adv Manuf Tech 118: 3917-3932.
[5] D. Kono, A. Matsubara, I. Yamaji, T. Fujita (2008) High-precision machining by measurement and compensation of motion error. Int J Mach Tool Manu 48: 1103-1110.
[6] H. Tang, J.-a. Duan, Q. Zhao (2017) A systematic approach on analyzing the relationship between straightness & angular errors and guideway surface in precise linear stage. Int J Mach Tool Manu 120: 12-19.
[7] C. Yue, X. Liu, Y. Ding, S.Y. Liang (2018) Off-line error compensation in corner milling process. Proc Inst Mech Eng, Part B 232: 1172-1181.
[8] R. Liang, Z. Wang, W. Chen, W. Ye (2021) Accuracy improvement for RLLLR five-axis machine tools: A posture and position compensation method for geometric errors. J Mater Process Technol 71: 724-733.
[9] D. Zhang, J. Wang, L. Qian, J. Yi (2019) Stepper motor open-loop control system modeling and control strategy optimization. Arch Electr Eng 63-75.
[10] S. Guo, J. Yang, G. Qiao, X. Mei (2022) Assembly deviation modelling to predict and trace the geometric accuracy of the precision motion system of a CNC machine tool. Mech Mach Theory 169: 104687.