<p>Gun point taps are extensively utilized in CNC machining of through-hole internal threads due to their inherent advantages, including high tapping efficiency and precision, as well as small torque and friction. However, achieving precision machining of key geometric parameters such as the rake angle and cutting edge angle regarding the spiral point flute (SPF) poses significant challenges due to the lack of an accurate parametric geometric model and poor manufacturability. Therefore, a precision forming grinding algorithm based on the unified parametric geometric model (UPGM) of SPF is proposed for precision grinding with the forming wheel profiles determined by flexible grinding postures. Firstly, an accurate UPGM of SPF is established by considering overdetermined structural constraints generated by the specified design parameters of SPF and the straight flute. It comprehensively describes the geometric information of SPF, including the end face profile, cutting edge angle <i>λ</i>, rake angle <i>γ</i>, and edge length <i>L</i>, and provides a solid basis for the follow-up grinding process. Secondly, mapping relations between UPGM and the generatrix of SPF are revealed to perform the flute geometry-driven grinding trajectory calculation. Then, a forming wheel profile calculation method considering flexible grinding postures is proposed based on line-contact conjugate theory. It could achieve accurate flute control and precision forming grinding of SPF by using the forming wheel profiles determined by initial wheel postures. Finally, the simulated and actual grinding experiments indicate that the maximum errors between the simulated and design geometric parameters are 0.923%, 0.867%, 0.028%, and 0.000% for <i>λ</i>, <i>γ</i>, <i>L</i>, and end face profile respectively, while those between the actual ground and design values are 1.492%, 2.557%, 2.000%, and 0.029&#xa0;mm respectively. The relatively small grinding errors ensure the good grinding quality of SPF of gun point taps and demonstrate the accuracy and effectiveness of the proposed precision forming grinding algorithm with strong engineering applicable potential.</p>

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A precision forming grinding algorithm for spiral point flute of gun point taps based on unified parametric geometric model

  • Lei Jiang,
  • Dongshan Li,
  • Hao Liu,
  • Enze Luo,
  • Changjiu Xia

摘要

Gun point taps are extensively utilized in CNC machining of through-hole internal threads due to their inherent advantages, including high tapping efficiency and precision, as well as small torque and friction. However, achieving precision machining of key geometric parameters such as the rake angle and cutting edge angle regarding the spiral point flute (SPF) poses significant challenges due to the lack of an accurate parametric geometric model and poor manufacturability. Therefore, a precision forming grinding algorithm based on the unified parametric geometric model (UPGM) of SPF is proposed for precision grinding with the forming wheel profiles determined by flexible grinding postures. Firstly, an accurate UPGM of SPF is established by considering overdetermined structural constraints generated by the specified design parameters of SPF and the straight flute. It comprehensively describes the geometric information of SPF, including the end face profile, cutting edge angle λ, rake angle γ, and edge length L, and provides a solid basis for the follow-up grinding process. Secondly, mapping relations between UPGM and the generatrix of SPF are revealed to perform the flute geometry-driven grinding trajectory calculation. Then, a forming wheel profile calculation method considering flexible grinding postures is proposed based on line-contact conjugate theory. It could achieve accurate flute control and precision forming grinding of SPF by using the forming wheel profiles determined by initial wheel postures. Finally, the simulated and actual grinding experiments indicate that the maximum errors between the simulated and design geometric parameters are 0.923%, 0.867%, 0.028%, and 0.000% for λ, γ, L, and end face profile respectively, while those between the actual ground and design values are 1.492%, 2.557%, 2.000%, and 0.029 mm respectively. The relatively small grinding errors ensure the good grinding quality of SPF of gun point taps and demonstrate the accuracy and effectiveness of the proposed precision forming grinding algorithm with strong engineering applicable potential.