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CLC number: U441+.4

On-line Access: 2007-12-30

Received: 2007-07-02

Revision Accepted: 2007-11-03

Crosschecked: 0000-00-00

Cited: 5

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Citations:  Bibtex RefMan EndNote GB/T7714

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Journal of Zhejiang University SCIENCE A 2008 Vol.9 No.3 P.358~365

http://doi.org/10.1631/jzus.A071351


Research on cubic polynomial acceleration and deceleration control model for high speed NC machining


Author(s):  Hong-bin LENG, Yi-jie WU, Xiao-hong PAN

Affiliation(s):  Institute of Modern Manufacture Engineering, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   lenghb2002@zju.edu.cn, wyj1116@zju.edu.cn

Key Words:  High speed NC machining, Acceleration and deceleration (acc/dec) control model, Cubic speed curve, Discrete mathematical model, Adaptive acceleration and deceleration control algorithm


Hong-bin LENG, Yi-jie WU, Xiao-hong PAN. Research on cubic polynomial acceleration and deceleration control model for high speed NC machining[J]. Journal of Zhejiang University Science A, 2008, 9(3): 358~365.

@article{title="Research on cubic polynomial acceleration and deceleration control model for high speed NC machining",
author="Hong-bin LENG, Yi-jie WU, Xiao-hong PAN",
journal="Journal of Zhejiang University Science A",
volume="9",
number="3",
pages="358~365",
year="2008",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A071351"
}

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%T Research on cubic polynomial acceleration and deceleration control model for high speed NC machining
%A Hong-bin LENG
%A Yi-jie WU
%A Xiao-hong PAN
%J Journal of Zhejiang University SCIENCE A
%V 9
%N 3
%P 358~365
%@ 1673-565X
%D 2008
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A071351

TY - JOUR
T1 - Research on cubic polynomial acceleration and deceleration control model for high speed NC machining
A1 - Hong-bin LENG
A1 - Yi-jie WU
A1 - Xiao-hong PAN
J0 - Journal of Zhejiang University Science A
VL - 9
IS - 3
SP - 358
EP - 365
%@ 1673-565X
Y1 - 2008
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A071351


Abstract: 
To satisfy the need of high speed NC (numerical control) machining, an acceleration and deceleration (acc/dec) control model is proposed, and the speed curve is also constructed by the cubic polynomial. The proposed control model provides continuity of acceleration, which avoids the intense vibration in high speed NC machining. Based on the discrete characteristic of the data sampling interpolation, the acc/dec control discrete mathematical model is also set up and the discrete expression of the theoretical deceleration length is obtained furthermore. Aiming at the question of hardly predetermining the deceleration point in acc/dec control before interpolation, the adaptive acc/dec control algorithm is deduced from the expressions of the theoretical deceleration length. The experimental result proves that the acc/dec control model has the characteristic of easy implementation, stable movement and low impact. The model has been applied in multi-axes high speed micro fabrication machining successfully.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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[4] Hu, J.H., Liao, W.H., Zhou, R.R., 1999. Research and comparison for several acceleration and deceleration curves in CNC system. Journal of Nanjing University of Aeronautics & Astronautics, 31:706-711 (in Chinese).

[5] Inaba, H., Sakakibara, S., 1985. Method and Apparatus for Controlling the Acceleration and Deceleration of a Movable Element Without Abrupt Changes in Motion. U.S. Patent 4555758.

[6] Jeon, J.W., 1996. A Generalized Approach for the Acceleration and Deceleration of CNC Machine Tools. Proceedings of the 1996 IEEE 22nd International Conference on Industrial Electronics, Control, and Instrument (IECON), p.1283-1288.

[7] Jeon, J.W., Ha, Y.Y., 2000. A generalized approach for the acceleration and deceleration of industrial robots and CNC machine tools. IEEE Transactions on Industrial Electronics, 47(1):133-139.

[8] Kaan, E., Yusuf, A., 2001. High speed CNC system design. Part 1: jerk limited trajectory generation and quintic spline interpolation. International Journal of Machine Tools & Manufacture, 41:1323-1345.

[9] Khalsa, D.S., Mahoney, B.P., 1990. High Performance Motion Control Trajectory Commands Based on the Convolution Integral and Digital Filtering. Proceedings of the International Intelligent Motion, p.54-61.

[10] Nam, S.H., Yang, M.Y., 2004. A study on a generalized parametric interpolator with real-time jerk-limited acceleration. Computer-Aided Design, 36(1):27-36.

[11] Park, J.S., 1996. Motion profile planning of repetitive point-to-point control for maximum energy conversion efficiency under acceleration conditions. Mechatronics, 6(6):649-663.

[12] Zhang, L.Y., 2002. Control of acceleration and deceleration in data sampling interpolation. Journal of Beijing University of Chemical Technology, 29:91-93 (in Chinese).

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