Parametric modeling of CNC machine tool geometric errors based on low-order fourier polynomials

Zeping Ji; Chunmiao Tian; Geng Chen; Qiangqiang Ding; Biao Liu; Shijie Guo

doi:10.1117/12.2658257

23 November 2022 Parametric modeling of CNC machine tool geometric errors based on low-order fourier polynomials

Zeping Ji, Chunmiao Tian, Geng Chen, Qiangqiang Ding, Biao Liu, Shijie Guo

Proceedings Volume 12454, International Symposium on Robotics, Artificial Intelligence, and Information Engineering (RAIIE 2022); 124540H (2022) https://doi.org/10.1117/12.2658257
Event: International Symposium on Robotics, Artificial Intelligence, and Information Engineering (RAIIE 2022), 2022, Hohhot, China

Abstract

To further improve the forecast accuracy of the geometric error of CNC machine tool, a low order Fourier polynomials fitting model (LFPFM) parametric modeling method based on Improved Gray Wolf Optimization(IGWO) algorithm is proposed. Straight-axis geometric error term is analyzed, and the introduction of piecewise attenuation factor can be adjusted to the GWO algorithm is Improved, to improve the scouting speed of the Optimization algorithm and precision, the error data in all parameters based on the IGWO algorithm to find the best fitting values, and get the error about low-order Fourier polynomial fitting polynomial, Use laser interferometer to measure the location errors of three straight line axes in the CNC machine tool, and parametric modeling was carried out. The experimental results show that the machine tool error parameterized model based on the LFPFM the IGWO algorithm can fit the error data well, and the residual error is smaller, the accuracy is higher, the fitting effect is better, so it is more suitable for the prediction and compensation model of CNC machine tool geometric error.

Citation Download Citation

Zeping Ji, Chunmiao Tian, Geng Chen, Qiangqiang Ding, Biao Liu, and Shijie Guo "Parametric modeling of CNC machine tool geometric errors based on low-order fourier polynomials", Proc. SPIE 12454, International Symposium on Robotics, Artificial Intelligence, and Information Engineering (RAIIE 2022), 124540H (23 November 2022); https://doi.org/10.1117/12.2658257

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KEYWORDS

Data modeling

Error analysis

Mathematical modeling

Optimization (mathematics)

Interferometers

Performance modeling

Motion models

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