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Iterative Generation Method of Arc Length Parameterized Curve Tool Path for Surface Machining from Short-Line Tool Path

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Abstract

To improve the application of the parametric curve tool path in surface machining, a method for generating arc-length parameterized toolpaths based on short-line toolpaths is proposed. The method first uses commercial CAM software to plan the short-line tool path. Then, the machining tool path with smooth continuous features is extracted. The smooth and continuous features are determined according to the chord length of the short-line tool path, and the extraction method is based on Chebyshev’s inequality of large numbers. After obtaining the smooth short-line trajectory, the iterative arc-length parameterized curve toolpath generation method is used to fit the discrete short-line toolpath. In the iterative process, the B-spline toolpath with parameterized chord length is obtained first. It is discretized according to the arc length difference information of the chord length B-spline. Finally, by continuously checking and inserting B-spline nodes, and fitting according to discrete points, the arc-length parameterized B-spline tool path is obtained. The feasibility of the method is verified with a part containing a sculpted surface, and two smooth arc-length parametric toolpaths are generated. In the end, the part is machined with the arc-length parameterized curve tool path.

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Acknowledgements

The authors are grateful for the financial supports from the National Natural Science Foundation of China [Grant No. 51705120] and the Natural Science Foundation of the Jiangsu Higher Education Institution of China [Grant No. 22KJB460034].

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Authors and Affiliations

  1. Jiangsu Provincial Key Laboratory of Advanced Robotics, Collaborative Innovation Center of Suzhou Nano Science and Technology, School Of Mechanical and Electrical Engineering, Soochow University, Suzhou, 215021, China

    Lei Lu & Cheng Fan

  2. School of Mechanical Engineering, Hefei University of Technology, Hefei, China

    Jiang Han, Lian Xia, Haijun Liu & Shan Chen

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  1. Lei Lu
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  2. Jiang Han
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  3. Lian Xia
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  4. Cheng Fan
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Correspondence to Lei Lu.

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Lu, L., Han, J., Xia, L. et al. Iterative Generation Method of Arc Length Parameterized Curve Tool Path for Surface Machining from Short-Line Tool Path. Int. J. Precis. Eng. Manuf. 24, 1821–1833 (2023). https://doi.org/10.1007/s12541-023-00838-z

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  • DOI: https://doi.org/10.1007/s12541-023-00838-z

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