Research on Subdivision Interpolation for High Speed CNC Applications

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Abstract:

High speed CNC machining relies on the smooth interpolation of tool path in order to prevent impact and vibration. We present a new interpolation scheme for CNC controller based on 6-point subdivision. The subdivision interpolation improves the smoothness of the original trajectory, while maintaining the accuracy. The algorithm is simple and effective, and therefore it is suitable for real-time execution in CNC controllers. Simulation results show that the proposed method performs better than linear interpolation, since the tracking error and contour error is reduced.

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449-454

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November 2011

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] K. Erkorkmaz, Y. Altintas, High speed CNC system design. Part I: jerk limited trajectory generation and quintic spline interpolation, Int. J. Mach. Tool. Manu. 41(2001) 1323–1345.

DOI: 10.1016/s0890-6955(01)00002-5

Google Scholar

[2] J. Dong, P.M. Ferreira, J.A. Stori, Feed-rate optimization with jerk constraints for generating minimum-time trajectories, Int. J. Mach. Tool. Manu. 47 (2007) 1941-(1955).

DOI: 10.1016/j.ijmachtools.2007.03.006

Google Scholar

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

DOI: 10.1016/j.cad.2008.01.015

Google Scholar

[4] Y. Sun, J. Wang, D.M. Guo, Guide curve based interpolation scheme of parametric curves for precision CNC machining, Int. J. Mach. Tool. Manu. 46 (2006) 235-242.

DOI: 10.1016/j.ijmachtools.2005.05.024

Google Scholar

[5] N. Dyn, D. Levin, J.A. Gregory, A 4-point interpolatory subdivision scheme for curve design, Comput. Aided Geom D. 4 (1987) 257-268.

DOI: 10.1016/0167-8396(87)90001-x

Google Scholar

[6] A. Weissman. A 6-point interpolatory subdivision scheme for curve design [Master Thesis], Tel-Aviv University, Tel-Aviv, Israel, (1989).

DOI: 10.5152/iao.2023.22694

Google Scholar

[7] C.H. Yeung, Y. Altintas, K. Erkorkmaz, Virtual CNC system. Part I. System architecture, Int. J. Mach. Tool. Manu. 46 (2006) 1107–1123.

DOI: 10.1016/j.ijmachtools.2005.08.002

Google Scholar