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High accurate interpolation of NURBS tool path for CNC machine tools

  • Advanced Manufacturing and Machining Technology
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Abstract

Feedrate fluctuation caused by approximation errors of interpolation methods has great effects on machining quality in NURBS interpolation, but few methods can efficiently eliminate or reduce it to a satisfying level without sacrificing the computing efficiency at present. In order to solve this problem, a high accurate interpolation method for NURBS tool path is proposed. The proposed method can efficiently reduce the feedrate fluctuation by forming a quartic equation with respect to the curve parameter increment, which can be efficiently solved by analytic methods in real-time. Theoretically, the proposed method can totally eliminate the feedrate fluctuation for any 2nd degree NURBS curves and can interpolate 3rd degree NURBS curves with minimal feedrate fluctuation. Moreover, a smooth feedrate planning algorithm is also proposed to generate smooth tool motion with considering multiple constraints and scheduling errors by an efficient planning strategy. Experiments are conducted to verify the feasibility and applicability of the proposed method. This research presents a novel NURBS interpolation method with not only high accuracy but also satisfying computing efficiency.

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Authors and Affiliations

  1. School of Mechanical Engineering and Automation, Beihang University, Beijing, 100191, China

    Qiang Liu, Huan Liu & Songmei Yuan

Authors
  1. Qiang Liu
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  2. Huan Liu
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  3. Songmei Yuan
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Corresponding author

Correspondence to Qiang Liu.

Additional information

Supported by National Natural Science Foundation of China(Grant No. 11290144), and Innovation Foundation of BUAA for PhD Graduates, China

LIU Qiang, born in 1963, is currently a professor and a PhD candidate supervisor at School of Mechanical Engineering and Automation, Beihang University, China. His main research interests include simulation and optimization of CNC milling process, high performance servo motor digital control technology, network manufacturing, and advanced numerical control technology.

LIU Huan, born in 1989, is currently a PhD candidate at School of Mechanical Engineering and Automation, Beihang University, China. His research interests include advanced numerical control technology.

YUAN Songmei, born in 1971, is currently a professor and a PhD candidate supervisor at School of Mechanical Engineering and Automation, Beihang University, China. Her main research interests include advanced numerical control technology, metal machining, and green manufacturing

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Liu, Q., Liu, H. & Yuan, S. High accurate interpolation of NURBS tool path for CNC machine tools. Chin. J. Mech. Eng. 29, 911–920 (2016). https://doi.org/10.3901/CJME.2016.0407.047

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  • DOI: https://doi.org/10.3901/CJME.2016.0407.047

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