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<p>To address the high-precision reconstruction of tooth flanks for small-module offset face gears, this study proposes an inverse design method based on three-coordinate measurement and optimized modification surfaces. Initially, the theoretical tooth flank radial vector and normal vector equations for small-module offset face gear are derived. The tooth surface data of the sample gear was obtained by a&#xa0;high-precision CMM. Subsequently, a&#xa0;comprehensive modification method for small-module face gears is presented, and the optimal modification parameters that closely approximate the tooth flank of the sample gear are precisely determined by iterative optimization, achieving a&#xa0;smooth tooth flank inverse design. Finally, a&#xa0;comparative analysis of blue light and meshing experiments was conducted for the sample gear and the gears by three different methods. The results demonstrate that the max error between the reverse designed tooth flank and the original sample gear tooth flank is less than 2 μm within the working tooth flank range, with consistent contact patterns. The performance of the inversely designed tooth flank is significantly superior to those designed using the other two alternative methods, confirming the practicality and effectiveness of the proposed inverse design approach.</p>

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A reverse design method for small-modulus offset face gear based on optimized modified surface

  • 期刊论文

  • 发表日期：

    2025年8月19日

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  • Hui Guo,
  • Longfei Wang,
  • Zhihui Hou,
  • Chuanliang Hua,
  • Changjiang Zhou,
  • Shengwen Hou

摘要

To address the high-precision reconstruction of tooth flanks for small-module offset face gears, this study proposes an inverse design method based on three-coordinate measurement and optimized modification surfaces. Initially, the theoretical tooth flank radial vector and normal vector equations for small-module offset face gear are derived. The tooth surface data of the sample gear was obtained by a high-precision CMM. Subsequently, a comprehensive modification method for small-module face gears is presented, and the optimal modification parameters that closely approximate the tooth flank of the sample gear are precisely determined by iterative optimization, achieving a smooth tooth flank inverse design. Finally, a comparative analysis of blue light and meshing experiments was conducted for the sample gear and the gears by three different methods. The results demonstrate that the max error between the reverse designed tooth flank and the original sample gear tooth flank is less than 2 μm within the working tooth flank range, with consistent contact patterns. The performance of the inversely designed tooth flank is significantly superior to those designed using the other two alternative methods, confirming the practicality and effectiveness of the proposed inverse design approach.