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Real-time thermal error prediction model for CNC lathes using a new one-dimension lumped capacity method

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Abstract

The axial thermal errors of CNC lathes are mostly caused by the thermal deformation of the screw and spindle. It is necessary to establish a prediction model to evaluate the thermal error distribution of CNC lathes. First, a new real-time virtual frictional heat model under the time-varying working speed of various kinematic pairs in the screw and spindle systems was proposed using the real-time torque current. Furthermore, a novel one-dimension lumped capacity method, which can be used to determine the temperature field rapidly, was proposed, considering the sensitiveness of the temperature of the measuring point with the heat generation rate. By an inverse FEM thermal-solid method of screw and spindle systems, the friction heat distribution and sensitiveness of the temperature of the measuring point with the heat generation rate were obtained. Consequently, based on the one-dimension lumped capacity method, the real-time thermal error prediction model was established, which is used to predict the temperatures and axial thermal errors of the screw and spindle of the machine tools. From the FANUC digit control system, the servomotor torque currents of the screw and spindle and the position of the moving-nut were read and used as inputs by the FOCAS library function. The effectiveness of the proposed prediction model of thermal errors is verified through the experimental and FEM results. This method uses the servomotor torque current collected by the FOCAS library function to determine the heat boundary condition. It can quickly and accurately determine the thermal errors without requiring additional temperature sensors.

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Funding

This work was supported by the project from the Liaoning Education Department [Grant numbers LJ2020031 and LJ2019003]. It was also supported by the National Natural Science Foundation of China [Grants 51375081].

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Authors and Affiliations

  1. Equipment Reliability Institute, Shenyang University of Chemical Technology, Shenyang, 110142, China

    Tie-jun Li & Yi-min Zhang

  2. School of Mechanical & Automation, Northeastern University, Shenyang, 110819, China

    Chun-yu Zhao

Authors
  1. Tie-jun Li
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  2. Chun-yu Zhao
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  3. Yi-min Zhang
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Contributions

1. A new real-time model of the virtual frictional heat under the time-varying working speed of kinematic pairs was proposed.

2. A novel one-dimension LCM considering the sensitiveness of the temperature of the measuring point with the heat generation rate was proposed.

3. Using the above models, the real-time thermal error prediction model was established.

This model can quickly and accurately determine the thermal errors using the servomotor torque current.

Corresponding author

Correspondence to Tie-jun Li.

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I would like to declare on behalf of my co-authors that the work described was an original research that has not been published previously and is not under consideration for publication elsewhere, in whole or in part. All the authors listed have approved the enclosed manuscript. The authors agree to participate in the International Journal of Advanced Manufacturing Technology.

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The authors agree to publication in the International Journal of Advanced Manufacturing Technology.

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No conflict of interest exists in the submission of this manuscript, and the manuscript is approved by all authors for publication. All the authors listed have approved the enclosed manuscript.

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Li, Tj., Zhao, Cy. & Zhang, Ym. Real-time thermal error prediction model for CNC lathes using a new one-dimension lumped capacity method. Int J Adv Manuf Technol 117, 425–436 (2021). https://doi.org/10.1007/s00170-021-07692-1

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