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Real-time smooth trajectory generation for 3-axis blending tool-paths based on FIR filtering

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Abstract

Three-axis machining tool-paths are generated using computer-aided manufacturing (CAM) systems and programmed by a series of G01 codes mixed with long and short segments. The computer numerical control (CNC) system needs to analyze path information according to the G-codes through path smoothing, speed planning, and interpolation process; generate smooth trajectory; and ensure the high-order continuity of velocity. This study proposes a real-time smooth trajectory generation algorithm with a simple structure and low calculation for 3-axis blending machining tool-paths. Finite impulse response filters are used to generate a smooth trajectory with bounded acceleration in real-time. Due to the delayed response of the filter, it will inevitably bring contour error. The feed rate is adjusted by considering the influence of the adjacent segments on the contour error in the case of long segments. This idea is then extended to continuous micro-segments. Finally, a direct one-step smooth trajectory generation algorithm for the blending tool-paths is realized through pre-discretization with certain rules. The algorithm can effectively control the contour error but also is suitable for blending tool-paths. Consequently, the effectiveness of the proposed algorithms is validated in simulations and also experimented on a 5-axis machine tool.

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Data availability

The data sets supporting the results of this article are available from the corresponding author on reasonable request.

Code availability

The code used during the current study are available from the corresponding author on reasonable request.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Lee Shau-Kee Science & Technology Building, Tsinghua University, Room A946-2, Beijing, 100084, China

    Jun Fang, Bingran Li, Hui Zhang & Peiqing Ye

  2. Beijing Key Lab of Precision/Ultra-Precision Manufacturing Equipment and Control, Tsinghua University, Beijing, China

    Jun Fang, Bingran Li & Hui Zhang

  3. The State Key Laboratory of Tribology Tsinghua University, Beijing, China

    Peiqing Ye

Authors
  1. Jun Fang
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  2. Bingran Li
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  3. Hui Zhang
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  4. Peiqing Ye
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All authors contributed to the study conception and design; material preparation; data collection and analysis; draft of the manuscript and the final manuscript.

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Correspondence to Bingran Li.

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Fang, J., Li, B., Zhang, H. et al. Real-time smooth trajectory generation for 3-axis blending tool-paths based on FIR filtering. Int J Adv Manuf Technol 126, 3401–3416 (2023). https://doi.org/10.1007/s00170-023-11308-1

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  • DOI: https://doi.org/10.1007/s00170-023-11308-1

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