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Abstract <p>In this paper, the concept of conjugated surfaces is used to reproduce complex spatial surfaces with a tool that also has a complex cutting surface. Universal torus cutting surfaces have been analyzed, allowing us to reproduce convex and concave surfaces with variable radii of curvature. The choice of the position of the cutting edge on the cutting surface is considered in such a way that a universal tool can reproduce complex surfaces with variable radii of curvature.</p>

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Method of Conjugated Surfaces for Reproducing Objects of Complex Spatial Shape

  • 期刊论文

  • 发表日期：

    2025年12月9日

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  • V. L. Afonin,
  • L. V. Gavrilina,
  • M. V. Zhuplov,
  • M. G. Yakovlev

摘要

Abstract

In this paper, the concept of conjugated surfaces is used to reproduce complex spatial surfaces with a tool that also has a complex cutting surface. Universal torus cutting surfaces have been analyzed, allowing us to reproduce convex and concave surfaces with variable radii of curvature. The choice of the position of the cutting edge on the cutting surface is considered in such a way that a universal tool can reproduce complex surfaces with variable radii of curvature.