Study on Acc/Dec Algorithm Based on Piecewise Polynomial in CNC

Abstract:

In order to improve the stability of feed movement in high speed CNC system, the feedrate planning algorithm based on piece-wise polynomial function was proposed. The flexible transition of feedrate was realized through maintaining linear continuous jerk. The principle of the proposed algorithm was introduced and the method to generate smooth motion profile based on the proposed algorithm was presented. The rapidity, stability and tracking accuracy of the feedrate planning algorithm to linearity, S curve and the proposed one were analyzed. The proposed algorithm is simple and it can be applied in acceleration/deceleration before interpolation in high speed feed movement to improve the stability of it. The proposed algorithm was applied in multi-contour high speed processing and the result indicated that it could improve the stability of large-scale parts motion.

• Periodical: Advanced Engineering Forum (Volumes 2-3)
• Pages: 43-47
• DOI: https://doi.org/10.4028/www.scientific.net/AEF.2-3.43
• Online since: December 2011
• Authors: Guo Shun Ji, Zhi Ping Chen, Ju Yong Zhang, Wei Liu
• Keywords: Acceleration Control, CNC Processing, Deceleration Control, Jerk

References

[1] C Shi, T Zhao, P Ye, et al, Study on S curve acc/dec planning of CNC system, Chinese machine engineering. 18 (2007) 1421-1425.

[2] M-S Tsai, H-W Nien, H-T Yau, Development of an integrated look-ahead dynamics-based NURBS interpolator for high precision machinery, Computer-Aided Design. 40 (2008) 554-566.

DOI: 10.1016/j.cad.2008.01.015

[3] J Dong, P M Ferreira, J A Stori, Feed-rate optimization with jerk constraints for generating minimum-time trajectories, International Journal of Machine Tools & Manufacture. 47 (2007) 1941-(1955).

DOI: 10.1016/j.ijmachtools.2007.03.006

[4] C Xu, NURBS curve interpolation of five-axis and acc/dec control method, Haerbing institute of technology, Haerbin, (2009).

[5] J W Jeon, Efficient acceleration and deceleration technique for short distance movement in industrial robots and CNC machine tools, Electronics letters. 36 (2000), 766-768.

DOI: 10.1049/el:20000559

[6] R A Osornio-Rios, R J Romero-Troncoso, G Herrera-Ruiz. et al. FPGA implementation of higher degree polynomial acceleration profiles for peak jerk reduction in servomotors, Robotics Computer-Integrated Manufacturing. 25 (2009) 379-392.

DOI: 10.1016/j.rcim.2008.01.002

[7] D Du, Y Liu, X Guo, et al, An accurate adaptive NURBS curve interpolator with real-time flexible acceleration/deceleration control, Robotics and Computer-Integrated Manufacturing. 26 (2010) 273-281.

DOI: 10.1016/j.rcim.2009.09.001

[8] X Guo, C Li, A new flexible acc/dec algorithm, Journal of shanghai jiaotong university. 37 (2003), 205-207, 212.

[9] X Li, Study on flexible acc/dec control algorithm and software development,: Zhejiang university, Hangzhou, (2007).

[10] F-Y Luo, Y-F Zhou, J Yin, A universal velocity profile generation approach for high-speed machining of small line segments with look-ahead, International Journal of Advanced Manufacture Technology. 35 (2007) 505-518.

DOI: 10.1007/s00170-006-0735-8