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Implementation of an adaptive feed speed 3D NURBS interpolation algorithm |
| LIANG Hong-bin1, WANG Yong-zhang2, LI Xia3 |
| 1.College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, China; College of Mechanical Engineering & Automation, University of Science and Technology, Liaoning, Anshan 114044, China; 2.Department of Mechanical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, China; 3.College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, China |
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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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Issue Date: 05 December 2006
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