Remaining Useful Life Estimation of Fan Slewing Bearings in Nonlinear Wiener Process with Random Covariate Effect

Since the degradation process of fan slewing bearings is easily influenced by the external environment, it is difficult to estimate its remaining useful life (RUL) accurately. A nonlinear Wiener degradation model considering the influence of random covariate is established for the prediction of the...

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Main Authors: Mingjun Liu, Zengshou Dong, Hui Shi, Yujia Zheng, Min Zhang
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2022/5441760
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author Mingjun Liu
Zengshou Dong
Hui Shi
Yujia Zheng
Min Zhang
author_facet Mingjun Liu
Zengshou Dong
Hui Shi
Yujia Zheng
Min Zhang
author_sort Mingjun Liu
collection DOAJ
description Since the degradation process of fan slewing bearings is easily influenced by the external environment, it is difficult to estimate its remaining useful life (RUL) accurately. A nonlinear Wiener degradation model considering the influence of random covariate is established for the prediction of the RUL of fan slewing bearings in this study. Firstly, considering the nonlinear and nonmonotonic properties of the operation process of fan slewing bearings, the degradation model of the nonlinear Wiener process of fan slewing bearings is established. Secondly, the combination of random covariate models and the nonlinear Wiener degradation process is researched. The stress effect which is used as a random covariate is introduced into the nonlinear Wiener degradation model in the form of the additive hazard model. Moreover, the closed expression for the RUL probability density function(PDF) is derived for the random variation of drift coefficients, the individual differences and the random variation of covariates. Thirdly, the maximum likelihood estimation algorithm is used to estimate the RUL parameters depending on the historical degradation data. Finally, the vibration data of fan slewing bearings monitored by sensors are used to verify the effectiveness of the proposed method. The results show that the proposed method can be used to improve the fitting degree of the model and the accuracy of RUL estimation.
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institution Kabale University
issn 1875-9203
language English
publishDate 2022-01-01
publisher Wiley
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series Shock and Vibration
spelling doaj-art-72974b3c3a7d4039a9270e4423e2e1052025-02-03T05:57:54ZengWileyShock and Vibration1875-92032022-01-01202210.1155/2022/5441760Remaining Useful Life Estimation of Fan Slewing Bearings in Nonlinear Wiener Process with Random Covariate EffectMingjun Liu0Zengshou Dong1Hui Shi2Yujia Zheng3Min Zhang4Taiyuan University of Science and TechnologyTaiyuan University of Science and TechnologyTaiyuan University of Science and TechnologyTaiyuan University of Science and TechnologyTaiyuan University of Science and TechnologySince the degradation process of fan slewing bearings is easily influenced by the external environment, it is difficult to estimate its remaining useful life (RUL) accurately. A nonlinear Wiener degradation model considering the influence of random covariate is established for the prediction of the RUL of fan slewing bearings in this study. Firstly, considering the nonlinear and nonmonotonic properties of the operation process of fan slewing bearings, the degradation model of the nonlinear Wiener process of fan slewing bearings is established. Secondly, the combination of random covariate models and the nonlinear Wiener degradation process is researched. The stress effect which is used as a random covariate is introduced into the nonlinear Wiener degradation model in the form of the additive hazard model. Moreover, the closed expression for the RUL probability density function(PDF) is derived for the random variation of drift coefficients, the individual differences and the random variation of covariates. Thirdly, the maximum likelihood estimation algorithm is used to estimate the RUL parameters depending on the historical degradation data. Finally, the vibration data of fan slewing bearings monitored by sensors are used to verify the effectiveness of the proposed method. The results show that the proposed method can be used to improve the fitting degree of the model and the accuracy of RUL estimation.http://dx.doi.org/10.1155/2022/5441760
spellingShingle Mingjun Liu
Zengshou Dong
Hui Shi
Yujia Zheng
Min Zhang
Remaining Useful Life Estimation of Fan Slewing Bearings in Nonlinear Wiener Process with Random Covariate Effect
Shock and Vibration
title Remaining Useful Life Estimation of Fan Slewing Bearings in Nonlinear Wiener Process with Random Covariate Effect
title_full Remaining Useful Life Estimation of Fan Slewing Bearings in Nonlinear Wiener Process with Random Covariate Effect
title_fullStr Remaining Useful Life Estimation of Fan Slewing Bearings in Nonlinear Wiener Process with Random Covariate Effect
title_full_unstemmed Remaining Useful Life Estimation of Fan Slewing Bearings in Nonlinear Wiener Process with Random Covariate Effect
title_short Remaining Useful Life Estimation of Fan Slewing Bearings in Nonlinear Wiener Process with Random Covariate Effect
title_sort remaining useful life estimation of fan slewing bearings in nonlinear wiener process with random covariate effect
url http://dx.doi.org/10.1155/2022/5441760
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AT huishi remainingusefullifeestimationoffanslewingbearingsinnonlinearwienerprocesswithrandomcovariateeffect
AT yujiazheng remainingusefullifeestimationoffanslewingbearingsinnonlinearwienerprocesswithrandomcovariateeffect
AT minzhang remainingusefullifeestimationoffanslewingbearingsinnonlinearwienerprocesswithrandomcovariateeffect