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Data-Driven Modeling of Friction in Drawbead Test Through Advanced Machine Learning.

Tomasz Trzepieciński1, Romuald Fejkiel2, Marek Kowalik3

  • 1Faculty of Mechanical Engineering and Aeronautics, Rzeszów University of Technology, al. Powstańców Warszawy 8, 35-029 Rzeszów, Poland.

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Summary

Machine learning accurately predicts the coefficient of friction (CoF) in metal forming drawbead simulations. Support vector machine models reveal drawbead height significantly impacts CoF, while other factors have a lesser, inverse effect.

Keywords:
coefficient of frictiondraw beaddraw bead simulatorfrictionsheet metal formingsteel sheets

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Computational Science

Background:

  • Friction in metal forming drawbeads critically influences product quality.
  • Experimental determination of friction's complex influence on the coefficient of friction (CoF) is challenging.

Purpose of the Study:

  • To apply machine learning (ML) to analyze drawbead simulator test data.
  • To identify the most effective ML algorithm for predicting CoF.
  • To detail feature importance and explainability of ML models.

Main Methods:

  • Utilized experimental data from drawbead simulator tests on DC04 steel.
  • Compared three ML algorithms: support vector machine (SVM), regression trees, and ensemble trees.
  • Evaluated model performance using root mean square error (RMSE) and correlation coefficient (R²).
  • Analyzed feature importance, permutation importance, and Shapley values for model interpretability.

Main Results:

  • The SVM algorithm with a cubic kernel achieved the best performance (RMSE=0.0085, R²=0.9657).
  • Key predictors influencing CoF, in descending order, were friction conditions, drawbead height, sample width, roughness (Sa), and orientation.
  • Shapley analysis indicated low drawbead height strongly increases CoF, while low values of other parameters decrease CoF.

Conclusions:

  • SVM is a highly effective ML method for modeling drawbead friction.
  • Drawbead height is the most influential parameter affecting the coefficient of friction.
  • Understanding parameter effects via ML enhances prediction accuracy and process optimization in metal forming.