A Revised Hilbert–Huang Transform and Its Application to Fault Diagnosis in a Rotor System

As a classical method to deal with nonlinear and nonstationary signals, the Hilbert–Huang transform (HHT) is widely used in various fields. In order to overcome the drawbacks of the Hilbert–Huang transform (such as end effects and mode mixing) during the process of empirical mode decomposition (EMD)...

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Main Authors: Hongjun Wang, Yongjian Ji
Format: Article
Language:English
Published: MDPI AG 2018-12-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/18/12/4329
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author Hongjun Wang
Yongjian Ji
author_facet Hongjun Wang
Yongjian Ji
author_sort Hongjun Wang
collection DOAJ
description As a classical method to deal with nonlinear and nonstationary signals, the Hilbert–Huang transform (HHT) is widely used in various fields. In order to overcome the drawbacks of the Hilbert–Huang transform (such as end effects and mode mixing) during the process of empirical mode decomposition (EMD), a revised Hilbert–Huang transform is proposed in this article. A method called local linear extrapolation is introduced to suppress end effects, and the combination of adding a high-frequency sinusoidal signal to, and embedding a decorrelation operator in, the process of EMD is introduced to eliminate mode mixing. In addition, the correlation coefficients between the analyzed signal and the intrinsic mode functions (IMFs) are introduced to eliminate the undesired IMFs. Simulation results show that the improved HHT can effectively suppress end effects and mode mixing. To verify the effectiveness of the new HHT method with respect to fault diagnosis, the revised HHT is applied to analyze the vibration displacement signals in a rotor system collected under normal, rubbing, and misalignment conditions. The simulation and experimental results indicate that the revised HHT method is more reliable than the original with respect to fault diagnosis in a rotor system.
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spelling doaj.art-6ac8dfc2b4334d59ba3952896ec26f0f2022-12-22T04:21:06ZengMDPI AGSensors1424-82202018-12-011812432910.3390/s18124329s18124329A Revised Hilbert–Huang Transform and Its Application to Fault Diagnosis in a Rotor SystemHongjun Wang0Yongjian Ji1School of Mechanical and Electrical Engineering, Beijing Information Science & Technology University, Haidian, Qinghe Xiaoying Donglu No. 12, Beijing 100192, ChinaSchool of Mechanical and Electrical Engineering, Beijing Information Science & Technology University, Haidian, Qinghe Xiaoying Donglu No. 12, Beijing 100192, ChinaAs a classical method to deal with nonlinear and nonstationary signals, the Hilbert–Huang transform (HHT) is widely used in various fields. In order to overcome the drawbacks of the Hilbert–Huang transform (such as end effects and mode mixing) during the process of empirical mode decomposition (EMD), a revised Hilbert–Huang transform is proposed in this article. A method called local linear extrapolation is introduced to suppress end effects, and the combination of adding a high-frequency sinusoidal signal to, and embedding a decorrelation operator in, the process of EMD is introduced to eliminate mode mixing. In addition, the correlation coefficients between the analyzed signal and the intrinsic mode functions (IMFs) are introduced to eliminate the undesired IMFs. Simulation results show that the improved HHT can effectively suppress end effects and mode mixing. To verify the effectiveness of the new HHT method with respect to fault diagnosis, the revised HHT is applied to analyze the vibration displacement signals in a rotor system collected under normal, rubbing, and misalignment conditions. The simulation and experimental results indicate that the revised HHT method is more reliable than the original with respect to fault diagnosis in a rotor system.https://www.mdpi.com/1424-8220/18/12/4329Hilbert–Huang transformempirical mode decompositionend effectsmode mixingrotor systemfault diagnosis
spellingShingle Hongjun Wang
Yongjian Ji
A Revised Hilbert–Huang Transform and Its Application to Fault Diagnosis in a Rotor System
Sensors
Hilbert–Huang transform
empirical mode decomposition
end effects
mode mixing
rotor system
fault diagnosis
title A Revised Hilbert–Huang Transform and Its Application to Fault Diagnosis in a Rotor System
title_full A Revised Hilbert–Huang Transform and Its Application to Fault Diagnosis in a Rotor System
title_fullStr A Revised Hilbert–Huang Transform and Its Application to Fault Diagnosis in a Rotor System
title_full_unstemmed A Revised Hilbert–Huang Transform and Its Application to Fault Diagnosis in a Rotor System
title_short A Revised Hilbert–Huang Transform and Its Application to Fault Diagnosis in a Rotor System
title_sort revised hilbert huang transform and its application to fault diagnosis in a rotor system
topic Hilbert–Huang transform
empirical mode decomposition
end effects
mode mixing
rotor system
fault diagnosis
url https://www.mdpi.com/1424-8220/18/12/4329
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