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The production of trapezoidal threads is mainly carried out using turning cutters, which have a cutting edge profile identical to the thread profile. However, when turning high-precision threads of lead screws, due to the need to tilt the cutting edge, a rather significant deviation from the specified thread profile can occur. The study of the profile of trapezoidal threads in this article is based on an analytical method that proves the functional dependence of the profile of the resulting thread on the geometric parameter of the cutter - the leading angle, as well as on the parameters of the thread itself: pitch, diameter, half-profile angle. The created algorithm made it possible to obtain a software product and, on its basis, predict the theoretical dependence of the profile formed by turning. These dependencies show the possibility of turning within the limits of deviations 0.34–0.51° on the semi-profile angle of the trapezoidal thread φ/2 = 15° with highly productive cutters having a given rake angle γ = 5–10°. According to the existing ASME standards, the specified deviations are actually acceptable, and for the GOST, ISO standards they are not regulated.

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Analytical Prediction of the Turned Trapezoidal Thread Profile Deviation

  • 会议论文

  • 发表日期：

    2026年

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  • Oleh Onysko,
  • Volodymyr Kopei,
  • Anatolii Verkalets,
  • Tetiana Lukan,
  • Bohdan Shuliar

摘要

The production of trapezoidal threads is mainly carried out using turning cutters, which have a cutting edge profile identical to the thread profile. However, when turning high-precision threads of lead screws, due to the need to tilt the cutting edge, a rather significant deviation from the specified thread profile can occur. The study of the profile of trapezoidal threads in this article is based on an analytical method that proves the functional dependence of the profile of the resulting thread on the geometric parameter of the cutter - the leading angle, as well as on the parameters of the thread itself: pitch, diameter, half-profile angle. The created algorithm made it possible to obtain a software product and, on its basis, predict the theoretical dependence of the profile formed by turning. These dependencies show the possibility of turning within the limits of deviations 0.34–0.51° on the semi-profile angle of the trapezoidal thread φ/2 = 15° with highly productive cutters having a given rake angle γ = 5–10°. According to the existing ASME standards, the specified deviations are actually acceptable, and for the GOST, ISO standards they are not regulated.