Bearing Data Model of Correlation Probability Box Based on New G-Copula Function

Bearing failure often occurs in rotating machinery. Fault diagnosis method based on vibration signals has been studied for many years. Considering complementary information of the vibration signals from different directions, this article proposed an applied model of a correlation probability box bas...

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Main Authors: Liangcai Dong, Ying Liu, Hong Tang, Yi Du
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9259044/
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author Liangcai Dong
Ying Liu
Hong Tang
Yi Du
author_facet Liangcai Dong
Ying Liu
Hong Tang
Yi Du
author_sort Liangcai Dong
collection DOAJ
description Bearing failure often occurs in rotating machinery. Fault diagnosis method based on vibration signals has been studied for many years. Considering complementary information of the vibration signals from different directions, this article proposed an applied model of a correlation probability box based on G-Copula function for diagnosing bearing faults. First, to avoid constructing binary Copula function directly from the definition of binary Copula function, a new function is defined, and a construction method of binary G-Copula function is proposed based on the new function. Then, the correlation probability box model is established based on a joint cumulative distribution of the G-Copula function to increase the independent of the input data in the support vector machine (SVM) model, and the aggregated widths of the correlation probability box model can be used to monitor a development of the bearing failure. Finally, the experimental results showed that the proposed method obtain the better classification accuracy than other data processing study.
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spelling doaj.art-d1d770af4ce446e0af4e521163cc3a482022-12-21T20:30:38ZengIEEEIEEE Access2169-35362020-01-01822456522457710.1109/ACCESS.2020.30379759259044Bearing Data Model of Correlation Probability Box Based on New G-Copula FunctionLiangcai Dong0Ying Liu1Hong Tang2https://orcid.org/0000-0002-4378-1463Yi Du3https://orcid.org/0000-0001-8774-005XDepartment of Industrial Engineering, Shanghai Maritime University, Shanghai, ChinaDepartment of Industrial Engineering, Shanghai Maritime University, Shanghai, ChinaState Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, ChinaCity College, Kunming University of Science and Technology, Kunming, ChinaBearing failure often occurs in rotating machinery. Fault diagnosis method based on vibration signals has been studied for many years. Considering complementary information of the vibration signals from different directions, this article proposed an applied model of a correlation probability box based on G-Copula function for diagnosing bearing faults. First, to avoid constructing binary Copula function directly from the definition of binary Copula function, a new function is defined, and a construction method of binary G-Copula function is proposed based on the new function. Then, the correlation probability box model is established based on a joint cumulative distribution of the G-Copula function to increase the independent of the input data in the support vector machine (SVM) model, and the aggregated widths of the correlation probability box model can be used to monitor a development of the bearing failure. Finally, the experimental results showed that the proposed method obtain the better classification accuracy than other data processing study.https://ieeexplore.ieee.org/document/9259044/Bearing failurecopula functioncorrelation probability boxsupport vector machineclassification
spellingShingle Liangcai Dong
Ying Liu
Hong Tang
Yi Du
Bearing Data Model of Correlation Probability Box Based on New G-Copula Function
IEEE Access
Bearing failure
copula function
correlation probability box
support vector machine
classification
title Bearing Data Model of Correlation Probability Box Based on New G-Copula Function
title_full Bearing Data Model of Correlation Probability Box Based on New G-Copula Function
title_fullStr Bearing Data Model of Correlation Probability Box Based on New G-Copula Function
title_full_unstemmed Bearing Data Model of Correlation Probability Box Based on New G-Copula Function
title_short Bearing Data Model of Correlation Probability Box Based on New G-Copula Function
title_sort bearing data model of correlation probability box based on new g copula function
topic Bearing failure
copula function
correlation probability box
support vector machine
classification
url https://ieeexplore.ieee.org/document/9259044/
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AT yidu bearingdatamodelofcorrelationprobabilityboxbasedonnewgcopulafunction