Rotor Balancing with Considering Measurement Errors

When influence coefficient (IC) method is used in rotor balancing, it is possible that serious errors could be resulted in unbalance determinations due to the contamination of measurements and IC matrix being ill-posed. In this study, the availability of least squares algorithm (LSA) and Tikhonov re...

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Main Authors: Yuan KANG, Tsu-Wei LIN, Yeon-Pun CHANG, Chun-Chieh WANG
Format: Article
Language:English
Published: The Japan Society of Mechanical Engineers 2007-09-01
Series:Journal of Advanced Mechanical Design, Systems, and Manufacturing
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/jamdsm/1/4/1_4_493/_pdf/-char/en
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author Yuan KANG
Tsu-Wei LIN
Yeon-Pun CHANG
Chun-Chieh WANG
author_facet Yuan KANG
Tsu-Wei LIN
Yeon-Pun CHANG
Chun-Chieh WANG
author_sort Yuan KANG
collection DOAJ
description When influence coefficient (IC) method is used in rotor balancing, it is possible that serious errors could be resulted in unbalance determinations due to the contamination of measurements and IC matrix being ill-posed. In this study, the availability of least squares algorithm (LSA) and Tikhonov regularization (TR) is studied by error estimations of unbalance determination with considering measurement errors. Also, the influence of illness of the IC matrix equation on the change of balancing accuracy relative to the measurement error will be simulated. The finite element method is used to analyze unbalance responses of a rotor-bearing system and the analysis results of both TR and LSA are compared in case studies. Furthermore, the validations of both methods are realized by balancing experiments of a rotor kit.
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spelling doaj.art-8d3ac2f4781a47b9bc3cb0fe4240e6ce2022-12-22T01:24:21ZengThe Japan Society of Mechanical EngineersJournal of Advanced Mechanical Design, Systems, and Manufacturing1881-30542007-09-011449350410.1299/jamdsm.1.493jamdsmRotor Balancing with Considering Measurement ErrorsYuan KANG0Tsu-Wei LIN1Yeon-Pun CHANG2Chun-Chieh WANG3Department of Mechanical Engineering, Chung Yuan Christian UniversityDepartment of Mechanical Engineering, Chung Yuan Christian UniversityDepartment of Mechanical Engineering, Chung Yuan Christian UniversityDepartment of Mechanical Engineering, Chung Yuan Christian UniversityWhen influence coefficient (IC) method is used in rotor balancing, it is possible that serious errors could be resulted in unbalance determinations due to the contamination of measurements and IC matrix being ill-posed. In this study, the availability of least squares algorithm (LSA) and Tikhonov regularization (TR) is studied by error estimations of unbalance determination with considering measurement errors. Also, the influence of illness of the IC matrix equation on the change of balancing accuracy relative to the measurement error will be simulated. The finite element method is used to analyze unbalance responses of a rotor-bearing system and the analysis results of both TR and LSA are compared in case studies. Furthermore, the validations of both methods are realized by balancing experiments of a rotor kit.https://www.jstage.jst.go.jp/article/jamdsm/1/4/1_4_493/_pdf/-char/entikhonov regularizationl-curve criterionrotor balancingmeasurement errorleast squares algorithminfluence coefficient method
spellingShingle Yuan KANG
Tsu-Wei LIN
Yeon-Pun CHANG
Chun-Chieh WANG
Rotor Balancing with Considering Measurement Errors
Journal of Advanced Mechanical Design, Systems, and Manufacturing
tikhonov regularization
l-curve criterion
rotor balancing
measurement error
least squares algorithm
influence coefficient method
title Rotor Balancing with Considering Measurement Errors
title_full Rotor Balancing with Considering Measurement Errors
title_fullStr Rotor Balancing with Considering Measurement Errors
title_full_unstemmed Rotor Balancing with Considering Measurement Errors
title_short Rotor Balancing with Considering Measurement Errors
title_sort rotor balancing with considering measurement errors
topic tikhonov regularization
l-curve criterion
rotor balancing
measurement error
least squares algorithm
influence coefficient method
url https://www.jstage.jst.go.jp/article/jamdsm/1/4/1_4_493/_pdf/-char/en
work_keys_str_mv AT yuankang rotorbalancingwithconsideringmeasurementerrors
AT tsuweilin rotorbalancingwithconsideringmeasurementerrors
AT yeonpunchang rotorbalancingwithconsideringmeasurementerrors
AT chunchiehwang rotorbalancingwithconsideringmeasurementerrors