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<p>The key to achieving high-speed and high-precision five-axis machining lies in constructing geometrically continuous smooth tool paths and implementing rational feed rate scheduling. To overcome issues such as machine tool chatter and poor machining quality caused by discontinuities in tangency and curvature in conventional linear tool paths, this study develops a novel integrated path smoothing and feed rate scheduling algorithm that aims to address challenges in tool orientation error control and parameter synchronisation. The algorithm inserts cubic B-spline curves at the corners of the tool tip and tool orientation paths to achieve smooth transitions, realising G<sup>2</sup> continuity of the tool trajectory under predefined tolerance constraints. A parameter synchronisation model is also established to ensure coordinated motion between tool tip and tool orientation. Furthermore, a feed rate scheduling module that is compliant with machine tool servo constraints is developed by incorporating look-ahead window technology and a seven-segment S-curve acceleration/deceleration algorithm. Simulation and experimental results demonstrate that the proposed method improves data processing efficiency by approximately 11.35%, enhances surface machining accuracy by about 14.6% and effectively improves surface quality, validating the effectiveness and feasibility of the algorithm.</p>

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Transition smoothing and trajectory generation algorithm for five-axis linear tool path

  • 期刊论文

  • 发表日期：

    2026年3月8日

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  • Yukun Huang,
  • Qingchun Tang,
  • Wengui Huang,
  • Xinyu Liu,
  • Hongkun Yang,
  • Yawen Wu,
  • Wei Wei,
  • Yutao Wang

摘要

The key to achieving high-speed and high-precision five-axis machining lies in constructing geometrically continuous smooth tool paths and implementing rational feed rate scheduling. To overcome issues such as machine tool chatter and poor machining quality caused by discontinuities in tangency and curvature in conventional linear tool paths, this study develops a novel integrated path smoothing and feed rate scheduling algorithm that aims to address challenges in tool orientation error control and parameter synchronisation. The algorithm inserts cubic B-spline curves at the corners of the tool tip and tool orientation paths to achieve smooth transitions, realising G2 continuity of the tool trajectory under predefined tolerance constraints. A parameter synchronisation model is also established to ensure coordinated motion between tool tip and tool orientation. Furthermore, a feed rate scheduling module that is compliant with machine tool servo constraints is developed by incorporating look-ahead window technology and a seven-segment S-curve acceleration/deceleration algorithm. Simulation and experimental results demonstrate that the proposed method improves data processing efficiency by approximately 11.35%, enhances surface machining accuracy by about 14.6% and effectively improves surface quality, validating the effectiveness and feasibility of the algorithm.