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Implementation of an adaptive feed speed 3D NURBS interpolation algorithm

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Abstract

NURBS (non-uniform rational B-spline) interpolation algorithms have been provided in modern CNC (computer numerical control) systems. However, most of them focus on a constant feed speed without considering the contour accuracy. In order to deal with this problem, an adaptive feed speed interpolation algorithm for 3D NURBS parametric curves with confined chord errors is proposed. When the instantaneous radius of the curvature is small enough, the proposed interpolation algorithm automatically reduces the feed speed to meet the specified chord error. In the other situation it uses the second-order Taylor’s expansions approximation interpolation algorithm to obtain a constant feed speed so that the contour accuracy in the CNC system is guaranteed. Experimental results were provided to verify the feasibility and precision of the proposed interpolation algorithm.

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Authors and Affiliations

  1. College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin, 150001, China

    Liang Hong-bin & Li Xia

  2. College of Mechanical Engineering & Automation, University of Science and Technology, Liaoning, Anshan, 114044, China

    Liang Hong-bin

  3. Department of Mechanical Engineering and Automation, Harbin Institute of Technology, Harbin, 150001, China

    Wang Yong-zhang

Authors
  1. Liang Hong-bin
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  2. Wang Yong-zhang
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  3. Li Xia
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Corresponding author

Correspondence to Liang Hong-bin.

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Translated from Computer Integrated Manufacturing System, 2006, 12 (3) (in Chinese)

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Liang, Hb., Wang, Yz. & Li, X. Implementation of an adaptive feed speed 3D NURBS interpolation algorithm. Front. Mech. Eng. China 1, 403–408 (2006). https://doi.org/10.1007/s11465-006-0047-6

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  • DOI: https://doi.org/10.1007/s11465-006-0047-6

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