CEEMDAN-Based Permutation Entropy: A Suitable Feature for the Fault Identification of Spiral-Bevel Gears

A spiral-bevel gear is a basic transmission component and is widely used in mechanical equipment; thus, it is important to monitor and diagnose its running state to ensure safe operation of the entire equipment setup. The vibration signals of spiral-bevel gears are typically quite complicated, as th...

Full description

Saved in:
Bibliographic Details
Main Authors: Lingli Jiang, Hongchuang Tan, Xuejun Li, Liman Chen, Dalian Yang
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2019/7806015
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849407631569977344
author Lingli Jiang
Hongchuang Tan
Xuejun Li
Liman Chen
Dalian Yang
author_facet Lingli Jiang
Hongchuang Tan
Xuejun Li
Liman Chen
Dalian Yang
author_sort Lingli Jiang
collection DOAJ
description A spiral-bevel gear is a basic transmission component and is widely used in mechanical equipment; thus, it is important to monitor and diagnose its running state to ensure safe operation of the entire equipment setup. The vibration signals of spiral-bevel gears are typically quite complicated, as they present both nonlinear and nonstationary characteristics and are interfered with by strong noise. The complete ensemble empirical mode decomposition with adaptive noise (CEEMDAN) method has been proven to be an effective method for analyzing this kind of signal. However, the fault feature information after CEEMDAN is not obvious and needs to be quantified. Permutation entropy can be used to quantify the randomness, complexity, and mutation of vibration time-series signals. This paper proposes to take the CEEMDAN-based permutation entropy as the sensitive feature for spiral-bevel gear fault identification. First, the raw vibration signal is decomposed by the CEEMDAN method to obtain a series of intrinsic modal functions (IMFs). The IMFs which included greater amounts fault information are selected as the optimal IMFs based on the correlation coefficient. Next, the permutation entropy values of the optimal IMFs are calculated. In order to obtain accurate permutation entropy values, the two key parameters, namely, embedding dimension and delay time, are optimized by using the overlapping parameter method. In order to assess the sensibility of the permutation entropy features, the support vector machine (SVM) is used as the classifier for fault mode identification, and the diagnostic accuracy can verify its sensibility. The permutation entropy of CEEMDAN-based/EEMD-based/EMD-based features, combined with SVM, is applied to identify three different fault modes of spiral-bevel gears. Their respective diagnostic accuracies are 100%, 88.33%, and 83.33%, which indicate that the CEEMDAN-based permutation entropy is the most sensitive feature for the fault identification of spiral-bevel gears.
format Article
id doaj-art-484954e5367449eb8264451dc42f2d36
institution Kabale University
issn 1070-9622
1875-9203
language English
publishDate 2019-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-484954e5367449eb8264451dc42f2d362025-08-20T03:36:00ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/78060157806015CEEMDAN-Based Permutation Entropy: A Suitable Feature for the Fault Identification of Spiral-Bevel GearsLingli Jiang0Hongchuang Tan1Xuejun Li2Liman Chen3Dalian Yang4School of Mechanical & Electrical Engineering, Foshan University, Foshan 528000, ChinaHunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology, Xiangtan, Hunan 411201, ChinaSchool of Mechanical & Electrical Engineering, Foshan University, Foshan 528000, ChinaHunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology, Xiangtan, Hunan 411201, ChinaHunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology, Xiangtan, Hunan 411201, ChinaA spiral-bevel gear is a basic transmission component and is widely used in mechanical equipment; thus, it is important to monitor and diagnose its running state to ensure safe operation of the entire equipment setup. The vibration signals of spiral-bevel gears are typically quite complicated, as they present both nonlinear and nonstationary characteristics and are interfered with by strong noise. The complete ensemble empirical mode decomposition with adaptive noise (CEEMDAN) method has been proven to be an effective method for analyzing this kind of signal. However, the fault feature information after CEEMDAN is not obvious and needs to be quantified. Permutation entropy can be used to quantify the randomness, complexity, and mutation of vibration time-series signals. This paper proposes to take the CEEMDAN-based permutation entropy as the sensitive feature for spiral-bevel gear fault identification. First, the raw vibration signal is decomposed by the CEEMDAN method to obtain a series of intrinsic modal functions (IMFs). The IMFs which included greater amounts fault information are selected as the optimal IMFs based on the correlation coefficient. Next, the permutation entropy values of the optimal IMFs are calculated. In order to obtain accurate permutation entropy values, the two key parameters, namely, embedding dimension and delay time, are optimized by using the overlapping parameter method. In order to assess the sensibility of the permutation entropy features, the support vector machine (SVM) is used as the classifier for fault mode identification, and the diagnostic accuracy can verify its sensibility. The permutation entropy of CEEMDAN-based/EEMD-based/EMD-based features, combined with SVM, is applied to identify three different fault modes of spiral-bevel gears. Their respective diagnostic accuracies are 100%, 88.33%, and 83.33%, which indicate that the CEEMDAN-based permutation entropy is the most sensitive feature for the fault identification of spiral-bevel gears.http://dx.doi.org/10.1155/2019/7806015
spellingShingle Lingli Jiang
Hongchuang Tan
Xuejun Li
Liman Chen
Dalian Yang
CEEMDAN-Based Permutation Entropy: A Suitable Feature for the Fault Identification of Spiral-Bevel Gears
Shock and Vibration
title CEEMDAN-Based Permutation Entropy: A Suitable Feature for the Fault Identification of Spiral-Bevel Gears
title_full CEEMDAN-Based Permutation Entropy: A Suitable Feature for the Fault Identification of Spiral-Bevel Gears
title_fullStr CEEMDAN-Based Permutation Entropy: A Suitable Feature for the Fault Identification of Spiral-Bevel Gears
title_full_unstemmed CEEMDAN-Based Permutation Entropy: A Suitable Feature for the Fault Identification of Spiral-Bevel Gears
title_short CEEMDAN-Based Permutation Entropy: A Suitable Feature for the Fault Identification of Spiral-Bevel Gears
title_sort ceemdan based permutation entropy a suitable feature for the fault identification of spiral bevel gears
url http://dx.doi.org/10.1155/2019/7806015
work_keys_str_mv AT linglijiang ceemdanbasedpermutationentropyasuitablefeatureforthefaultidentificationofspiralbevelgears
AT hongchuangtan ceemdanbasedpermutationentropyasuitablefeatureforthefaultidentificationofspiralbevelgears
AT xuejunli ceemdanbasedpermutationentropyasuitablefeatureforthefaultidentificationofspiralbevelgears
AT limanchen ceemdanbasedpermutationentropyasuitablefeatureforthefaultidentificationofspiralbevelgears
AT dalianyang ceemdanbasedpermutationentropyasuitablefeatureforthefaultidentificationofspiralbevelgears