Separation Method for Installation Eccentricity Error of Workpiece

This work solves the challenge of separating the eccentricity error of a workpiece installation from the first harmonic of radial runout error of the spindle, which has a crucial impact on improving the machining quality of the workpiece. Firstly, a mathematical model for the synthesized elliptical...

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Main Authors: Guanyao Qiao, Chunyu Zhao, Huihui Miao, Ye Chen
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Applied Sciences
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Online Access:https://www.mdpi.com/2076-3417/15/12/6788
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author Guanyao Qiao
Chunyu Zhao
Huihui Miao
Ye Chen
author_facet Guanyao Qiao
Chunyu Zhao
Huihui Miao
Ye Chen
author_sort Guanyao Qiao
collection DOAJ
description This work solves the challenge of separating the eccentricity error of a workpiece installation from the first harmonic of radial runout error of the spindle, which has a crucial impact on improving the machining quality of the workpiece. Firstly, a mathematical model for the synthesized elliptical motion for spindle vibration and eccentricity error is established. Subsequently, a novel separation method combining Particle swarm optimization (PSO) and the least squares method (LSM) is proposed. PSO is applied to determine phase angles, and the least squares method is applied to determine amplitudes, achieving precise error separation. Then, numerical simulations were used to verify the effectiveness and reliability of the proposed method, producing a calculation error of less than 0.07% and high consistency (<i>R</i><sup>2</sup> > 0.97). Finally, experimental tests at different spindle speeds, axial distances, and workpieces confirmed the robustness of the method, with a variation in eccentricity error calculation result of less than 0.6%. The results indicate that the installation eccentricity error of the experimental machine tool is independent of the spindle angular velocity and stems from the misalignment of the chuck. This method provides a reliable solution for accurately separating installation eccentricity errors in precision manufacturing.
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institution Kabale University
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spelling doaj-art-81abc48e1f3b4fa891f38dbbf6b41d052025-08-20T03:26:53ZengMDPI AGApplied Sciences2076-34172025-06-011512678810.3390/app15126788Separation Method for Installation Eccentricity Error of WorkpieceGuanyao Qiao0Chunyu Zhao1Huihui Miao2Ye Chen3School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, ChinaSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, ChinaSchool of Mechanical Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, ChinaCollege of Mechanical Engineering and Automation, Liaoning University of Technology, Jinzhou 121001, ChinaThis work solves the challenge of separating the eccentricity error of a workpiece installation from the first harmonic of radial runout error of the spindle, which has a crucial impact on improving the machining quality of the workpiece. Firstly, a mathematical model for the synthesized elliptical motion for spindle vibration and eccentricity error is established. Subsequently, a novel separation method combining Particle swarm optimization (PSO) and the least squares method (LSM) is proposed. PSO is applied to determine phase angles, and the least squares method is applied to determine amplitudes, achieving precise error separation. Then, numerical simulations were used to verify the effectiveness and reliability of the proposed method, producing a calculation error of less than 0.07% and high consistency (<i>R</i><sup>2</sup> > 0.97). Finally, experimental tests at different spindle speeds, axial distances, and workpieces confirmed the robustness of the method, with a variation in eccentricity error calculation result of less than 0.6%. The results indicate that the installation eccentricity error of the experimental machine tool is independent of the spindle angular velocity and stems from the misalignment of the chuck. This method provides a reliable solution for accurately separating installation eccentricity errors in precision manufacturing.https://www.mdpi.com/2076-3417/15/12/6788separation methodinstallation eccentricity errorfirst harmonicparticle swarm optimizationleast squares method
spellingShingle Guanyao Qiao
Chunyu Zhao
Huihui Miao
Ye Chen
Separation Method for Installation Eccentricity Error of Workpiece
Applied Sciences
separation method
installation eccentricity error
first harmonic
particle swarm optimization
least squares method
title Separation Method for Installation Eccentricity Error of Workpiece
title_full Separation Method for Installation Eccentricity Error of Workpiece
title_fullStr Separation Method for Installation Eccentricity Error of Workpiece
title_full_unstemmed Separation Method for Installation Eccentricity Error of Workpiece
title_short Separation Method for Installation Eccentricity Error of Workpiece
title_sort separation method for installation eccentricity error of workpiece
topic separation method
installation eccentricity error
first harmonic
particle swarm optimization
least squares method
url https://www.mdpi.com/2076-3417/15/12/6788
work_keys_str_mv AT guanyaoqiao separationmethodforinstallationeccentricityerrorofworkpiece
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AT huihuimiao separationmethodforinstallationeccentricityerrorofworkpiece
AT yechen separationmethodforinstallationeccentricityerrorofworkpiece