Vertical Transient Response Analysis of a Cracked Jeffcott Rotor Based on Improved Empirical Mode Decomposition

The crack-induced changes in the vertical transient response of a rotating shaft–disc system, Jeffcott rotor, are investigated for transverse crack detection. The crack is considered as a breathing crack. A novel breathing function is proposed, in which the partially open–closed crack breathing beha...

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Main Authors: Hamid Khorrami, Ramin Sedaghati, Subhash Rakheja
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Vibration
Subjects:
Online Access:https://www.mdpi.com/2571-631X/5/3/23
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author Hamid Khorrami
Ramin Sedaghati
Subhash Rakheja
author_facet Hamid Khorrami
Ramin Sedaghati
Subhash Rakheja
author_sort Hamid Khorrami
collection DOAJ
description The crack-induced changes in the vertical transient response of a rotating shaft–disc system, Jeffcott rotor, are investigated for transverse crack detection. The crack is considered as a breathing crack. A novel breathing function is proposed, in which the partially open–closed crack breathing behavior is interpolated between the fully open and closed crack behaviors. The breathing crack excites superharmonic response components of the transient as well as the subharmonic components. A Hilbert–Huang transform based on an improved empirical mode decomposition algorithm is subsequently formulated to evaluate the time–frequency representation of the vertical transient response of the rotor to detect the crack. The results show that the proposed breathing function can effectively reduce the computational effort without sacrificing the accuracy of the crack breathing behavior in the presence of small cracks. It is shown that time–frequency representations based on an improved empirical mode decomposition algorithm can lead to the detection of smaller cracks compared with those based on the empirical mode decomposition algorithm.
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spelling doaj.art-af8925a6c8d9462daf5b91630d8c56292023-11-23T19:24:38ZengMDPI AGVibration2571-631X2022-07-015340842810.3390/vibration5030023Vertical Transient Response Analysis of a Cracked Jeffcott Rotor Based on Improved Empirical Mode DecompositionHamid Khorrami0Ramin Sedaghati1Subhash Rakheja2Department of Mechanical, Industrial and Aerospace Engineering, Concordia University, Montréal, QC H3G 1M8, CanadaDepartment of Mechanical, Industrial and Aerospace Engineering, Concordia University, Montréal, QC H3G 1M8, CanadaDepartment of Mechanical, Industrial and Aerospace Engineering, Concordia University, Montréal, QC H3G 1M8, CanadaThe crack-induced changes in the vertical transient response of a rotating shaft–disc system, Jeffcott rotor, are investigated for transverse crack detection. The crack is considered as a breathing crack. A novel breathing function is proposed, in which the partially open–closed crack breathing behavior is interpolated between the fully open and closed crack behaviors. The breathing crack excites superharmonic response components of the transient as well as the subharmonic components. A Hilbert–Huang transform based on an improved empirical mode decomposition algorithm is subsequently formulated to evaluate the time–frequency representation of the vertical transient response of the rotor to detect the crack. The results show that the proposed breathing function can effectively reduce the computational effort without sacrificing the accuracy of the crack breathing behavior in the presence of small cracks. It is shown that time–frequency representations based on an improved empirical mode decomposition algorithm can lead to the detection of smaller cracks compared with those based on the empirical mode decomposition algorithm.https://www.mdpi.com/2571-631X/5/3/23transient responseJeffcott rotorbreathing crackempirical mode decomposition
spellingShingle Hamid Khorrami
Ramin Sedaghati
Subhash Rakheja
Vertical Transient Response Analysis of a Cracked Jeffcott Rotor Based on Improved Empirical Mode Decomposition
Vibration
transient response
Jeffcott rotor
breathing crack
empirical mode decomposition
title Vertical Transient Response Analysis of a Cracked Jeffcott Rotor Based on Improved Empirical Mode Decomposition
title_full Vertical Transient Response Analysis of a Cracked Jeffcott Rotor Based on Improved Empirical Mode Decomposition
title_fullStr Vertical Transient Response Analysis of a Cracked Jeffcott Rotor Based on Improved Empirical Mode Decomposition
title_full_unstemmed Vertical Transient Response Analysis of a Cracked Jeffcott Rotor Based on Improved Empirical Mode Decomposition
title_short Vertical Transient Response Analysis of a Cracked Jeffcott Rotor Based on Improved Empirical Mode Decomposition
title_sort vertical transient response analysis of a cracked jeffcott rotor based on improved empirical mode decomposition
topic transient response
Jeffcott rotor
breathing crack
empirical mode decomposition
url https://www.mdpi.com/2571-631X/5/3/23
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AT raminsedaghati verticaltransientresponseanalysisofacrackedjeffcottrotorbasedonimprovedempiricalmodedecomposition
AT subhashrakheja verticaltransientresponseanalysisofacrackedjeffcottrotorbasedonimprovedempiricalmodedecomposition