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Thermal Positioning Error Modeling of Servo Axis Based on Empirical Modeling Method.

Yang Li1, Hexuan Shi1, Shijun Ji2

  • 1School of Mechanic Engineering, Northeast Electric Power University, Jilin 132012, China.

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Summary

This study presents a new method to model machine tool errors, combining geometric and thermal effects. The approach accurately predicts positioning errors caused by servo axis heating, improving machine tool precision.

Keywords:
CNC machine toolsfuzzy clustering analysisprincipal component regressiontemperature-sensitivity pointsthermal error modeling

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Area of Science:

  • Mechanical Engineering
  • Manufacturing Technology
  • Metrology

Background:

  • Machine tool accuracy is significantly affected by thermal errors originating from servo axes.
  • Existing methods often struggle to accurately model the complex relationship between temperature and positioning errors.

Purpose of the Study:

  • To develop an accurate and robust empirical model for predicting machine tool positioning errors considering both geometric and thermal factors.
  • To investigate the thermal effect of servo axis positioning errors on overall machine tool accuracy.

Main Methods:

  • Modeled geometric positioning error using polynomial fitting.
  • Developed a thermal error model using fuzzy clustering and principal component regression (PCR) to address multicollinearity among temperature variables.
  • Proposed a criterion for selecting temperature-sensitive points.

Main Results:

  • The comprehensive error model achieved a fitting accuracy of approximately 89% and a prediction accuracy of 86%.
  • The PCR model effectively preserved information and mitigated the impact of multicollinearity.
  • The method demonstrated high precision and robustness in experiments on a three-axis machine tool.

Conclusions:

  • The proposed empirical modeling method accurately predicts machine tool positioning errors during operation.
  • This approach offers a reliable solution for enhancing machine tool accuracy by accounting for thermal effects.