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Frontiers of Mechanical Engineering

ISSN 2095-0233

ISSN 2095-0241(Online)

CN 11-5984/TH

Postal Subscription Code 80-975

2018 Impact Factor: 0.989

Front. Mech. Eng.    2014, Vol. 9 Issue (2) : 130-141    https://doi.org/10.1007/s11465-014-0298-6
RESEARCH ARTICLE
Identification of faults through wavelet transform vis-à-vis fast Fourier transform of noisy vibration signals emanated from defective rolling element bearings
Deepak PALIWAL(), Achintya CHOUDHURY, T. GOVANDHAN
Department of Mechanical Engineering, Sir Padampat Singhania University, Udaipur 313601, Rajasthan, India
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Abstract

Fault diagnosis of rolling element bearings requires efficient signal processing techniques. For this purpose, the performances of envelope detection with fast Fourier transform (FFT) and continuous wavelet transform (CWT) of vibration signals produced from a bearing with defects on inner race and rolling element, have been examined at low signal to noise ratio. Both simulated and experimental signals from identical bearings have been considered for the purpose of analysis. The bearings have been modeled as spring-mass-dashpot systems and the simulated signals have been obtained considering transfer functions for the bearing systems subjected to impulsive loads due to the defects. Frequency B spline wavelets have been applied for CWT and a discussion on wavelet selection has been presented for better effectiveness. Results show that use of CWT with the proposed wavelets overcomes the short coming of FFT while processing a noisy vibration signals for defect detection of bearings.

Keywords Fault detection      spline wavelet      continuous wavelet transform      fast Fourier transform     
Corresponding Author(s): Deepak PALIWAL   
Issue Date: 22 May 2014
 Cite this article:   
Deepak PALIWAL,Achintya CHOUDHURY,T. GOVANDHAN. Identification of faults through wavelet transform vis-à-vis fast Fourier transform of noisy vibration signals emanated from defective rolling element bearings[J]. Front. Mech. Eng., 2014, 9(2): 130-141.
 URL:  
https://academic.hep.com.cn/fme/EN/10.1007/s11465-014-0298-6
https://academic.hep.com.cn/fme/EN/Y2014/V9/I2/130
Fig.1  Spring mass damping dashpot of rolling element bearing
Fig.2  Control diagram of bearing system subjected to (a) inner race defect impulse force and (b) rolling element defect impulse force
Fig.3  Simulated impulse response train: considering inner race defect (a) without noise and (c) with noise; considering rolling element defect (b) without noise and (d) with noise
Specification Value
Ball diameter 7.94?mm
Pitch diameter 39?mm
No. of rolling elements 9
Contact angle 0
Tab.1  6205-2RS JEM SKF, deep groove ball bearing specifications
Specification Value
Inner race frequency (fid) 156.13?Hz
Rolling element frequency (fre) 135.9?Hz
Cage train frequency (fc) 11.48?Hz
Tab.2  Characteristic defect frequencies of bearing at 1730?r/min i.e. shaft frequency (fs = 28.83?Hz)
Stiffness Value Damping Value
Inner race of bearing (K1) 3.2334×108?N/m Inner fluid layer (C2) 1.7592×104 N?s/m
Inner fluid layer (K2) 9.7406×106?N/m Outer fluid layer (C5) 6.7170×103 N?s/m
Outer fluid layer (K5) 2.7036×106?N/m
Outer race of bearing (K6) 2.6757×108?N/m
Tab.3  Stiffness/damping values adopted for simulation of defect induced impulse responses
Fig.4  Envelope signal of (a) inner race defect impulse response train and (b) rolling element defect impulse response
Fig.5  (a) FFT of inner race envelope signal without noise; FFT spectrum of envelope signal at (b) S/N 2.8730 db & (c) −1.8982 db; FFT of rolling element envelope signal (d) without noise & (e) at S/N −0.1609 db
Fig.6  (a) Overlapping of simulated inner race defect impulse response and frequency B spline wavelet fbsp500-105-89.98; (b) Wavelet and defect response decay representation
Fig.7  (a) Overlapping of simulated rolling element defect impulse response and frequency B spline wavelet fbsp500-105-89.88; (b) Wavelet and defect response decay representation
Fig.8  (a) Simulated impulses of inner race defect response; (b) CWT of signal (a) in 2D; (c) CWT of signal (a) in 3D; (d) Simulated signal of inner race defect at S/N −4.1167 db; (e) CWT of signal (d) in 3D; (f) Simulated signal of rolling element defect at S/N −4.3943 db; (g) CWT of signal (f) in 3D, considering 6205-2RS JEM SKF bearing rotating at 1730?r/min
Fig.9  FFT of inner race defective bearing envelope signal captured by (a) driver end accelerometer & (b) fan end accelerometer; (c) FFT of rolling element defective bearing envelope signal captured by driver end accelerometer at 1730?r/min
Fig.10  CWT representation of inner race defective bearing vibration signal captured by (a) driver end accelerometer & (b) fan end accelerometer; (c) CWT representation of rolling element defective bearing vibration signal captured by driver end accelerometer
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