A five-axis numerical control tool path trajectory smoothing method based on minimum differential smooth energy

By constructing a position error tolerance zone and attitude error constraints, a five-axis CNC toolpath trajectory smoothing method was developed, which solved the discontinuity problem at corners in five-axis CNC machining, achieving efficient and stable trajectory smoothing and improving machining efficiency and accuracy.

CN122411286APending Publication Date: 2026-07-17BEIHANG UNIV
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
BEIHANG UNIV
Filing Date
2026-04-09
Publication Date
2026-07-17

AI Technical Summary

Technical Problem

In five-axis CNC machining, the tool path is discontinuous at corners, leading to frequent speed reductions and increased vibration. Existing path smoothing methods are computationally complex or lack effective constraints, affecting machining efficiency and accuracy.

Method used

By employing a method based on minimum differential smoothing energy, and constructing a position error tolerance band and attitude error constraints, a transition curve for the tool tip position and tool axis direction that meets the second-order geometric continuity requirement is generated, ensuring a smooth transition of the trajectory in the corner region.

Benefits of technology

It achieves efficient and stable machining within a given error range, reduces curvature peaks, improves interpolation efficiency, avoids abnormal transitions between adjacent segments, and enhances the machining stability and accuracy of the five-axis CNC system.

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Abstract

本发明公开了一种基于最小微分平滑能量的五轴数控刀路轨迹平滑方法,该方法获取包含离散刀尖位置点序列及其对应刀轴方向向量序列的原始轨迹数据;基于相邻位置点和方向向量分别构建位置误差容许带与姿态误差约束;针对轨迹拐角区域,在误差约束下构造满足二阶几何连续要求的刀尖位置过渡曲线,并构造与其共享同一轨迹参数的刀轴方向过渡曲线;将原始轨迹中拐角区域的位置数据与方向数据分别替换为刀尖位置过渡曲线和刀轴方向过渡曲线的曲线数据,生成用于计算机数字控制系统插补的平滑刀具轨迹数据,且非拐角区域保持不变。本发明在保证加工精度的前提下,能够有效降低刀具轨迹的拐角曲率峰值、减小进给速度波动、提升加工稳定性与效率。
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