An improved multiscale noise tuning of stochastic resonance for identifying multiple transient faults in rolling element bearings

Abstract Stochastic resonance (SR), a noise-assisted tool, has been proved to be very powerful in weak signal detection. The multiscale noise tuning SR (MSTSR), which breaks the restriction of the requirement of small parameters and white noise in classical SR, has been applied to identify the characteristic frequency of a bearing. However, the multiscale noise tuning (MST), which is originally based on discrete wavelet transform (DWT), limits the signal-to-noise ratio (SNR) improvement of SR and the performance in identifying multiple bearing faults. In this paper, the wavelet packet transform (WPT) is developed and incorporated into the MSTSR method to overcome its shortcomings and to further enhance its capability in multiple faults detection of bearings. The WPT-based MST can achieve a finer tuning of multiscale noise and aims at detecting multiple target frequencies separately. By introducing WPT into the MST of SR, this paper proposes an improved SR method particularly suited for the identification of multiple transient faults in rolling element bearings. Simulated and practical bearing signals carrying multiple characteristic frequencies are employed to validate the performance improvement of the proposed method as compared to the original DWT-based MSTSR method. The results confirm the good capability of the proposed method in multi-fault diagnosis of rolling element bearings.

[1]  Yanfei Jin,et al.  Stochastic resonance in periodic potentials driven by colored noise , 2013 .

[2]  Min Chen Application of Parameter-tuning Stochastic Resonance for Detecting Early Mechanical Faults , 2009 .

[3]  Dongying Han,et al.  Study on multi-frequency weak signal detection method based on stochastic resonance tuning by multi-scale noise , 2014 .

[4]  J. Antoni Fast computation of the kurtogram for the detection of transient faults , 2007 .

[5]  Zhengjia He,et al.  A new noise-controlled second-order enhanced stochastic resonance method with its application in wind turbine drivetrain fault diagnosis , 2013 .

[6]  Yanyang Zi,et al.  Enhancement of signal denoising and multiple fault signatures detecting in rotating machinery using dual-tree complex wavelet transform , 2010 .

[7]  Dennis J. Tweten,et al.  Experimental investigation of colored noise in stochastic resonance of a bistable beam , 2014 .

[8]  A. Bulsara,et al.  STOCHASTIC RESONANCE IN A SUPERCONDUCTING LOOP WITH A JOSEPHSON JUNCTION , 1995 .

[9]  Jung,et al.  Amplification of small signals via stochastic resonance. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[10]  Gregoire Nicolis,et al.  Stochastic resonance , 2007, Scholarpedia.

[11]  L. Qiang,et al.  Engineering signal processing based on adaptive step-changed stochastic resonance , 2007 .

[12]  Ditto,et al.  Experimental observation of stochastic resonance in a magnetoelastic ribbon. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[13]  R. L. Badzey,et al.  Coherent signal amplification in bistable nanomechanical oscillators by stochastic resonance , 2005, Nature.

[14]  Bohou Xu,et al.  Application of stochastic resonance in target detection in shallow-water reverberation , 2007 .

[15]  Frank Moss,et al.  Use of behavioural stochastic resonance by paddle fish for feeding , 1999, Nature.

[16]  F. Moss,et al.  Non-Dynamical Stochastic Resonance: Theory and Experiments with White and Arbitrarily Coloured Noise , 1995 .

[17]  Jun Wang,et al.  Effects of multiscale noise tuning on stochastic resonance for weak signal detection , 2012, Digit. Signal Process..

[18]  Thomas T. Imhoff,et al.  Noise-enhanced information transmission in rat SA1 cutaneous mechanoreceptors via aperiodic stochastic resonance. , 1996, Journal of neurophysiology.

[19]  Masatoshi Misono,et al.  Stochastic resonance in an optical bistable system driven by colored noise , 1998 .

[20]  G. Parisi,et al.  Stochastic resonance in climatic change , 1982 .

[21]  Dong Wang,et al.  A new blind fault component separation algorithm for a single-channel mechanical signal mixture , 2012 .

[22]  Haining Huang,et al.  Improved bearing estimates of weak signals using stochastic resonance and frequency shift techniques , 2003, Oceans 2003. Celebrating the Past ... Teaming Toward the Future (IEEE Cat. No.03CH37492).

[23]  Colin R. McInnes,et al.  Enhanced Vibrational Energy Harvesting Using Non-linear Stochastic Resonance , 2008 .

[24]  Roy,et al.  Observation of stochastic resonance in a ring laser. , 1988, Physical review letters.

[25]  D Nozaki,et al.  Mechanism of stochastic resonance enhancement in neuronal models driven by 1/f noise. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[26]  Adi R. Bulsara,et al.  Tuning in to Noise , 1996 .

[27]  S. Fauve,et al.  Stochastic resonance in a bistable system , 1983 .

[28]  Robert B. Randall,et al.  Rolling element bearing diagnostics—A tutorial , 2011 .

[29]  Fanrang Kong,et al.  Multiscale noise tuning of stochastic resonance for enhanced fault diagnosis in rotating machines , 2012 .

[30]  Fanrang Kong,et al.  Wayside acoustic diagnosis of defective train bearings based on signal resampling and information enhancement , 2013 .

[31]  N. D. Stein,et al.  Stochastic resonance: Linear response and giant nonlinearity , 1993 .

[32]  Qingbo He,et al.  Multiscale noise tuning stochastic resonance enhances weak signal detection in a circuitry system , 2012 .

[33]  Tai Yong Wang,et al.  Numerical analysis and engineering application of large parameter stochastic resonance , 2006 .

[34]  Frank Moss,et al.  Can colored noise improve stochastic resonance? , 1993 .

[35]  Pritiraj Mohanty,et al.  Noise color and asymmetry in stochastic resonance with silicon nanomechanical resonators , 2009, 0903.2522.

[36]  V. P. Koverda,et al.  Stochastic resonance and 1/f noise at coupled phase transitions , 2014 .

[37]  A. Sutera,et al.  The mechanism of stochastic resonance , 1981 .

[38]  H S Wio,et al.  Experimental evidence of stochastic resonance without tuning due to non-Gaussian noises. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[39]  Houwen Xin,et al.  Effects of colored noise on internal stochastic resonance in a chemical model system , 2001 .

[40]  Ming Liang,et al.  Identification of multiple transient faults based on the adaptive spectral kurtosis method , 2012 .

[41]  Fanrang Kong,et al.  Stochastic resonance with Woods-Saxon potential for rolling element bearing fault diagnosis , 2014 .

[42]  Bohou Xu,et al.  Effects of colored noise on multi-frequency signal processing via stochastic resonance with tuning system parameters , 2003 .

[43]  Ming Liang,et al.  Separation of fault features from a single-channel mechanical signal mixture using wavelet decomposition , 2007 .

[44]  John P. Miller,et al.  Broadband neural encoding in the cricket cereal sensory system enhanced by stochastic resonance , 1996, Nature.

[45]  Frank Moss,et al.  Noise enhancement of information transfer in crayfish mechanoreceptors by stochastic resonance , 1993, Nature.

[46]  Peter Grigg,et al.  Effects of Colored Noise on Stochastic Resonance in Sensory Neurons , 1999 .

[47]  Qian Xiao,et al.  The high-frequency weak signal detection based on stochastic resonance , 2009, 2009 International Conference on Test and Measurement.

[48]  Fanrang Kong,et al.  Sequential Multiscale Noise Tuning Stochastic Resonance for Train Bearing Fault Diagnosis in an Embedded System , 2014, IEEE Transactions on Instrumentation and Measurement.

[49]  Gary G. Yen,et al.  Wavelet packet feature extraction for vibration monitoring , 2000, IEEE Trans. Ind. Electron..

[50]  Sergey M. Bezrukov,et al.  Noise-induced enhancement of signal transduction across voltage-dependent ion channels , 1995, Nature.

[51]  Yanyang Zi,et al.  Study of frequency-shifted and re-scaling stochastic resonance and its application to fault diagnosis , 2009 .

[52]  Haining Huang,et al.  A study on the parameters of bistable stochastic resonance systems and adaptive stochastic resonance , 2003, IEEE International Conference on Robotics, Intelligent Systems and Signal Processing, 2003. Proceedings. 2003.

[53]  Wiesenfeld,et al.  Theory of stochastic resonance. , 1989, Physical review. A, General physics.