Abstract
In computer numerical control (CNC) machining, the tool-path output by the computer-aided manufacturing (CAM) systems is usually composed of a large number of long and short linear segments. The CNC systems needs to undergo trajectory smoothing, velocity planning, and interpolation to generate smooth interpolation points with high-order velocity continuity. This article proposes a simple finite impulse response (FIR) filter algorithm suitable for three-axis mixed complex trajectory machining. This algorithm firstly establishes contour error model at local corners, and then calculates the corresponding velocity adjustment coefficient. By dynamically adjusting adjacent velocity rectangular-frames, preliminary control of contour error is achieved. Due to the small duration of the rectangular-frame in local areas after velocity adjustment, the contour error at the corners is affected by multiple segments. Therefore, after correcting the contour error again and fine-tuning the velocity, a one-step accurate smooth interpolation point trajectory generation was achieved. Finally, an experimental verification was conducted on an open three-axis machine tool using a section of the Mercedes Benz sample as an example.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Fan, W., Lee, C.H., Chen, J.H.: Real-time repairable interpolation scheme for CNC tool path processing. Int. J. Precis. Eng. Manuf. 17(12), 1673–1684 (2016)
Yang, J.X., Hu, Q., Ding, H.: A two-stage CNC interpolation algorithm for corner smoothing trajectories with geometric error and dynamics constraints. Procedia CIRP 56, 306–310 (2016)
Zhang, Y., Ye, P., Wu, J., Zhang, H.: An optimal curvature-smooth transition algorithm with axis jerk limitations along linear segments. Int. J. Adv. Manuf. Technol. 95(1–4), 875–888 (2017). https://doi.org/10.1007/s00170-017-1274-1
Li, H.B., Gao, X.S., Zhang, L.X., Sun, R.Y.: Discrete interpolation of G01 codes in 2D machining under bounded accelerations. Math. Comput. Sci. 6(3), 327–344 (2012)
Zhang, Q., Gao, X.S., Li, H.B., Zhao, M.Y.: Minimum time corner transition algorithm with confined feedrate and axial acceleration for nc machining along linear tool path. Int. J. Adv. Manuf. Technol. 89(1–4), 941–956 (2017)
Zhang, M., Yan, W., Yuan, C.M., Gao, X.S.: Curve fitting and optimal interpolation on CNC machines based on quadratic B-splines. Sci. Chin. Inf. Sci. 54(7), 1407–1418 (2011)
Park, H.: B-spline surface fitting based on adaptive knot placement using dominant columns. Comput. Aided Des. 43(3), 258–264 (2011)
Song, F., Hao, S., Hao, M., Yang, Z.: Research on acceleration and deceleration control algorithm of NC instruction interpretations with high-order smooth. In: Xiong, C., Liu, H., Huang, Y., Xiong, Y. (eds.) ICIRA 2008. LNCS (LNAI), vol. 5315, pp. 548–557. Springer, Heidelberg (2008). https://doi.org/10.1007/978-3-540-88518-4_59
Sencer, B., Ishizaki, K., Shamoto, E.: High speed cornering strategy with confined contour error and vibration suppression for CNC machine tools. CIRP Ann. 64(1), 369–372 (2015)
Li, D.D., Zhang, L.Q., Yang, L., Mao, J.: Accurate interpolation and contouring control algorithm based on FIR filters for the corner transition. Int. J. Adv. Manuf. Technol. 109(7–8), 1775–1788 (2020)
Tajima, J., Sencer, B.: Accurate real-time interpolation of 5-axis tool-paths with local corner smoothing. Int. J. Mach. Tools Manuf 142, 1–15 (2019)
Tajima, S., Sencer, B.: Real-time trajectory generation for 5-axis machine tools with singularity avoidance. CIRP Ann. 69(1), 349–352 (2020)
Fang, J., Li, B.R., Zhang, H., Ye, P.Q.: Real-time smooth trajectory generation for 3-axis blending tool-paths based on FIR filtering. Int. J. Adv. Manuf. Technol. 126, 3401–3416 (2023)
Acknowledgements
The authors did not receive support from any organization for the submitted work.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Fang, J., Li, B., Zhang, H., Ye, P. (2023). Accurate Interpolation Algorithm Based on FIR Filters with Local Dynamic Adjustment. In: Yang, H., et al. Intelligent Robotics and Applications. ICIRA 2023. Lecture Notes in Computer Science(), vol 14275. Springer, Singapore. https://doi.org/10.1007/978-981-99-6504-5_20
Download citation
DOI: https://doi.org/10.1007/978-981-99-6504-5_20
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-99-6503-8
Online ISBN: 978-981-99-6504-5
eBook Packages: Computer ScienceComputer Science (R0)