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Incomplete smooth S-curve acceleration and deceleration feedrate planning modeling and analysis

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Abstract

The toolpath smoothing and feedrate scheduling in computer numerical control (CNC) system are critical for high-speed and high-precision machining. The existing toolpath smoothing schemes perform insufficiently in raising the smoothness of feedrate trajectory. Aiming at increasing the smoothness of toolpath and reducing machining vibration, a smooth S-curve acceleration/deceleration(AD) control algorithm based on the jounce limited profile is proposed. In the paper, for the curves that do not meet the complete smooth S-curve acceleration/deceleration conditions, they are divided into three cases according to the length of the curve and give a detailed calculation formula. All trajectory parameters are derived with the analytical algorithm to ensure an acceptable computational complexity. Finally, a series of numerical simulations and actual machining and measurement experiments are conducted, and the simulation and experimental results have showed the good performance of the proposed algorithm compared with previous method both in motion smooth and surface quality.

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Availability of data and materials

The data and materials that support the findings of the study are available from the corresponding author upon reasonable request.

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Funding

This work was supported by National Natural Science Foundation of China under Grant 51875161.

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Authors and Affiliations

  1. School of Mechanical Engineering, Hefei University of Technology, Hefei, 230009, People’s Republic of China

    Dao-Yang Yu, Zhi Ding & Xiao-Qing Tian

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  1. Dao-Yang Yu
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  2. Zhi Ding
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  3. Xiao-Qing Tian
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Contributions

All authors contributed to the study conception and design. Calculations and simulations of incomplete smooth S-curve AD curves were performed by Daoyang Yu. MATLAB software simulation experiments were conducted by Xiao-Qing Tian. The NC machining experiments and machining accuracy analysis were performed by Daoyang Yu and Zhi Ding. The first draft of the manuscript was written by Daoyang Yu. All authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Dao-Yang Yu.

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Yu, DY., Ding, Z. & Tian, XQ. Incomplete smooth S-curve acceleration and deceleration feedrate planning modeling and analysis. Int J Adv Manuf Technol 120, 7171–7185 (2022). https://doi.org/10.1007/s00170-022-09236-7

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  • DOI: https://doi.org/10.1007/s00170-022-09236-7

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