• CN: 11-2187/TH
  • ISSN: 0577-6686

Journal of Mechanical Engineering ›› 2023, Vol. 59 ›› Issue (9): 116-124.doi: 10.3901/JME.2023.09.116

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Modeling on Motion Error of Vertical Hydrostatic Cylindrical Guideways

ZHA Jun1,2, ZHANG Huijie1   

  1. 1. School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049;
    2. Xi'an Jiaotong University Suzhou Institute, Suzhou 215123
  • Received:2022-06-08 Revised:2022-12-26 Online:2023-05-05 Published:2023-07-19

Abstract: A theoretical model of motion error based on the error averaging effect of the pressured oil film is proposed to overcome the challenge posed by the parallelism of the machined parts which attributed to the motion error of the vertical hydrostatic cylindrical guideways in the double-sided polishing machine tool. The contour error of the cylindrical guideways are considered and the thickness of the oil film is equalized to establish an analysis model, solving the oil film bearing capacity of each pad, and quantifying the linear and angular deviations generated in the running process. Furthermore, the influence mechanism of the contour error of the cylindrical guideways on the motion error is studied considering the initial nominal oil film gap, the restrict ratio and the oil supply pressure. The contour error curve of the cylindrical guideways are measured through experiments, and the data are fitted according to the least square method to obtain the contour error function, and the actual inclination angle error is calculated. The difference between the calculation results of the cylindrical guideways profile error model and the simulation results is 2.4%, with a difference 9.2% compared with the experimental results. The cylindrical guideways profile error model is suitable for engineering practice. The results show that the established theoretical model of the motion error has high accuracy, which can provide a theoretical basis for the accuracy analysis and engineering application of the vertical hydrostatic cylindrical guideways.

Key words: vertical hydrostatic cylindrical guideways, motion error, error averaging, hydrostatic bearing

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