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A New Correlation Equation for Calculating the Frictional Torque of the Nut at Different Feed Velocities and Nut Temperatures

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International Journal of Precision Engineering and Manufacturing Aims and scope Submit manuscript

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Abstract

Among the errors in precision machining, thermal error has been recognized as the most significant error. The heat of the nut in the feed drive system plays an important role in the thermal error generated by the feed drive system. To better estimate and further understand the increase in temperature and thermal deformation of the ball screw during operation, a new correlation equation for the frictional torque of the nut is proposed and determined in this study for the calculation of the frictional torque of the nut and the heat generated by the nut at different feed velocities and nut temperatures. In this study, a set of devices for measuring the frictional torque of the nut under different feed velocities and different nut temperatures is designed and established. Various experimental conditions are designed to measure the frictional torque of the nut at different feed velocities and different nut temperatures to establish a correlation equation for the frictional torque of the nut. In addition, for further confirmation, the method for measuring the frictional torque of the nut used in this study is compared with the method using a handheld digital force gauge. The correlation equation for the frictional torque of the nut established in this study is based on the LuGre model and the formula of the frictional torque due to the viscosity of the lubricant of the bearing at different temperatures. The results show that the root-mean-square error between the frictional torque of the nut calculated by the correlation equation and that measured experimentally is 0.0301 N-m, indicating that the correlation equation for the frictional torque of the nut proposed in this study is accurate and feasible.

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  • 01 February 2021

    During the correction process unfortunately the author photos in the biography section have been interchanged. The correction biographies should be as follows.

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Acknowledgements

This work represents part of the results obtained under contract no. MOST 106-2622-E-194 -003 -CC2 sponsored by the Ministry of Science and Technology (MOST), Taiwan, ROC.

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Authors and Affiliations

  1. Department of Mechanical Engineering, National Chung Cheng University, Chiayi, 621, Taiwan, ROC

    Tzu-Chien Kuo

  2. HIWIN Technologies Corp, Taichung, 408, Taiwan, ROC

    Yih-Chyun Hwang

  3. Department of Mechanical Engineering and Advanced Institute of Manufacturing With High-Tech Innovations, National Chung Cheng University, Chiayi, 621, Taiwan, ROC

    Wen-Hsin Hsieh

Authors
  1. Tzu-Chien Kuo
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  2. Yih-Chyun Hwang
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  3. Wen-Hsin Hsieh
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Correspondence to Wen-Hsin Hsieh.

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The original online version of this article was revised: during the correction process unfortunately the author photos in the biography section have been interchanged.

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Kuo, TC., Hwang, YC. & Hsieh, WH. A New Correlation Equation for Calculating the Frictional Torque of the Nut at Different Feed Velocities and Nut Temperatures. Int. J. Precis. Eng. Manuf. 22, 41–50 (2021). https://doi.org/10.1007/s12541-020-00448-z

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  • DOI: https://doi.org/10.1007/s12541-020-00448-z

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