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Mathematical Models of Grinding Forces in the Hob Cutter Sharpening Process.

Błażej Witkowski1, Wojciech Stachurski1, Witold Pawłowski1

  • 1Institute of Machine Tools and Production Engineering, Faculty of Mechanical Engineering, Lodz University of Technology, Stefanowskiego 1/15, 90-537 Lodz, Poland.

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Summary

Researchers developed mathematical models to predict grinding forces during hob cutter sharpening. These models, based on experimental data, accurately estimate normal and tangential forces, aiding process analysis.

Keywords:
grindinggrinding forcehob cuttermodelling of grinding forcesharpening of cutting tools

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Area of Science:

  • Manufacturing Engineering
  • Materials Science

Background:

  • Hob cutters are critical tools in manufacturing.
  • Accurate prediction of grinding forces is essential for optimizing the sharpening process and tool life.

Purpose of the Study:

  • To develop mathematical models for determining grinding force components during hob cutter rake face sharpening.
  • To validate the developed models against experimental data.

Main Methods:

  • Experimental grinding tests were conducted on HS6-5-2 high-speed steel using a tool grinder and aluminum oxide wheel.
  • Grinding force components (normal and tangential) were measured using a piezoelectric dynamometer.
  • Multiple regression and polynomial functions were employed to create the mathematical models.

Main Results:

  • Two mathematical models were successfully developed: a multiple regression function and a polynomial function.
  • The models enable the calculation of normal and tangential grinding forces.
  • Experimental results showed good agreement with the predictions from the developed models.

Conclusions:

  • The developed mathematical models provide a reliable basis for analyzing the hob cutter sharpening process.
  • The models can be used to understand the impact of variable grinding parameters on grinding forces.
  • This research contributes to the optimization of tool grinding processes.