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<p>In traditional polishing processes, contour removal analysis often assumes single-trajectory contact while neglecting trajectory overlap, leading to inaccurate removal functions that compromise polishing quality. To address discontinuous curvature contact issues caused by overlapping polishing paths, this paper establishes an edge material removal model based on elastic half-space theory. Considering actual overlapping trajectory contact conditions, a geometric model of edge contact featuring curvature discontinuities is proposed. The elastic half-space method is employed to derive an analytical expression for edge pressure distribution. Through finite element simulation analysis, parameters of the pressure distribution equation are refined. Based on this, a novel edge material removal model is established and simulated. The model’s validity is verified via dual-track overlapping polishing experiments. Experimental results demonstrate that when deviation values are less than 0.6mm, the new edge removal model accurately predicts the actual removal profile of overlapping trajectories (Experimental and simulation results show good agreement). In practical production, this model can be used to adjust trajectory spacing to enhance machining efficiency.</p>

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Modeling and experimental research of edge tool influence function based on elastic half-space theory

  • 期刊论文

  • 发表日期：

    2026年7月2日

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  • Yingying Ning,
  • Jiaxin Zhu,
  • Yongsheng Du

摘要

In traditional polishing processes, contour removal analysis often assumes single-trajectory contact while neglecting trajectory overlap, leading to inaccurate removal functions that compromise polishing quality. To address discontinuous curvature contact issues caused by overlapping polishing paths, this paper establishes an edge material removal model based on elastic half-space theory. Considering actual overlapping trajectory contact conditions, a geometric model of edge contact featuring curvature discontinuities is proposed. The elastic half-space method is employed to derive an analytical expression for edge pressure distribution. Through finite element simulation analysis, parameters of the pressure distribution equation are refined. Based on this, a novel edge material removal model is established and simulated. The model’s validity is verified via dual-track overlapping polishing experiments. Experimental results demonstrate that when deviation values are less than 0.6mm, the new edge removal model accurately predicts the actual removal profile of overlapping trajectories (Experimental and simulation results show good agreement). In practical production, this model can be used to adjust trajectory spacing to enhance machining efficiency.