Calibration of a Hub Dynamic Balancing Machine Based on the Least Squares Method and Systematic Error Analysis

To resolve issues such as excessive residual vibrations and unsatisfactory balance effects in the balancing process, the particle swarm optimization (PSO)algorithm is combined with the least squares influence coefficient method of rotor dynamic balance to perform dynamic balance calibration based on...

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Main Authors: Yuan Cao, Fang Li, Jianguo Cao, Tao Wang
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9200484/
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spelling doaj-2ea3dddd339d448489f1d1f7944acd3d2021-03-30T04:49:33ZengIEEEIEEE Access2169-35362020-01-01817874617875410.1109/ACCESS.2020.30248509200484Calibration of a Hub Dynamic Balancing Machine Based on the Least Squares Method and Systematic Error AnalysisYuan Cao0https://orcid.org/0000-0002-4746-0245Fang Li1https://orcid.org/0000-0002-4746-0245Jianguo Cao2Tao Wang3School of Mechanical Engineering, University of Science and Technology Beijing, Beijing, ChinaChina Academy of Machinery Science and Technology Group, Beijing, ChinaSchool of Mechanical Engineering, University of Science and Technology Beijing, Beijing, ChinaSchool of Mechanical Engineering, University of Science and Technology Beijing, Beijing, ChinaTo resolve issues such as excessive residual vibrations and unsatisfactory balance effects in the balancing process, the particle swarm optimization (PSO)algorithm is combined with the least squares influence coefficient method of rotor dynamic balance to perform dynamic balance calibration based on the research of the least squares influence coefficient method of wheel dynamic balance. The influence coefficient generally has a large error due to the influence of the vibration measured value, thereby lowering the accuracy of the calibrated influence coefficient. Therefore, the maximum likelihood estimate (MLE) method is employed to address the influence coefficient error, and the result is compared with the calibration value of the influence coefficient (IC) method. The analysis results indicate that the residual value generated by the calibration of the influence coefficient through the maximum likelihood estimate (MLE) is 1.036 while the residual value obtained through the influence coefficient (IC) method is 1.513, suggesting that the former exhibits a smaller systematic error and is closer to the true value.https://ieeexplore.ieee.org/document/9200484/Rotor balancinginfluence coefficient methodleast squares methodparticle swarm optimization
collection DOAJ
language English
format Article
sources DOAJ
author Yuan Cao
Fang Li
Jianguo Cao
Tao Wang
spellingShingle Yuan Cao
Fang Li
Jianguo Cao
Tao Wang
Calibration of a Hub Dynamic Balancing Machine Based on the Least Squares Method and Systematic Error Analysis
IEEE Access
Rotor balancing
influence coefficient method
least squares method
particle swarm optimization
author_facet Yuan Cao
Fang Li
Jianguo Cao
Tao Wang
author_sort Yuan Cao
title Calibration of a Hub Dynamic Balancing Machine Based on the Least Squares Method and Systematic Error Analysis
title_short Calibration of a Hub Dynamic Balancing Machine Based on the Least Squares Method and Systematic Error Analysis
title_full Calibration of a Hub Dynamic Balancing Machine Based on the Least Squares Method and Systematic Error Analysis
title_fullStr Calibration of a Hub Dynamic Balancing Machine Based on the Least Squares Method and Systematic Error Analysis
title_full_unstemmed Calibration of a Hub Dynamic Balancing Machine Based on the Least Squares Method and Systematic Error Analysis
title_sort calibration of a hub dynamic balancing machine based on the least squares method and systematic error analysis
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2020-01-01
description To resolve issues such as excessive residual vibrations and unsatisfactory balance effects in the balancing process, the particle swarm optimization (PSO)algorithm is combined with the least squares influence coefficient method of rotor dynamic balance to perform dynamic balance calibration based on the research of the least squares influence coefficient method of wheel dynamic balance. The influence coefficient generally has a large error due to the influence of the vibration measured value, thereby lowering the accuracy of the calibrated influence coefficient. Therefore, the maximum likelihood estimate (MLE) method is employed to address the influence coefficient error, and the result is compared with the calibration value of the influence coefficient (IC) method. The analysis results indicate that the residual value generated by the calibration of the influence coefficient through the maximum likelihood estimate (MLE) is 1.036 while the residual value obtained through the influence coefficient (IC) method is 1.513, suggesting that the former exhibits a smaller systematic error and is closer to the true value.
topic Rotor balancing
influence coefficient method
least squares method
particle swarm optimization
url https://ieeexplore.ieee.org/document/9200484/
work_keys_str_mv AT yuancao calibrationofahubdynamicbalancingmachinebasedontheleastsquaresmethodandsystematicerroranalysis
AT fangli calibrationofahubdynamicbalancingmachinebasedontheleastsquaresmethodandsystematicerroranalysis
AT jianguocao calibrationofahubdynamicbalancingmachinebasedontheleastsquaresmethodandsystematicerroranalysis
AT taowang calibrationofahubdynamicbalancingmachinebasedontheleastsquaresmethodandsystematicerroranalysis
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