Abstract
Ball bearing plays a very crucial part of any rotating machineries, and the fault diagnosis in rotating system can be detected at early states when the fault is still small. In this paper, a ball bearing fault is detected by using continuous wavelet transform (CWT) with modern algebraic function. The reflected vibration signals from ball bearing having single point defect on its inner race, outer race, ball fault, and combination of these faults have been considered for analysis. The features extracted from a non-stationary multi-component ball bearing signal are very difficult. In this paper, a CWT with selected stretching parameters is used to analyze a signal in time–frequency domain and extract the features from non-stationary multi-component signals. The algebraic function norms are calculated from the matrix which can be generated with the help of wavelet transforms. The norms lookup table is used as a reference for fault diagnosis. The experimental results show that this method is simple and robust.
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References
Chiang, L.H., Kotanchek, M.E., Kordon, A.K.: Fault diagnosis based on Fisher discriminate analysis and support vector machines. 28, 1389–1401 (2004)
Lei, Y., He, Z., Zi, Y.: Application of an intelligent classification method to mechanical fault diagnosis. Expert Syst. Appl. 36, 9941–9948 (2009)
Li, Z., Wu, Z., He, Y., Fulei, C.: Hidden Markov model-based fault diagnostics method in speed-up and speed-down process for rotating machinery. Mech. Syst. Sign. Process. 19, 329–339 (2005)
Widodo, A., Yang, B.S.: Review on a vector support machine in machine condition monitoring and fault diagnosis. Mech. Syst. Sign. Process. 21, 2560–2574 (2007)
Vyas, N.S., Satishkumar, D.: Artificial neural network design for fault identification in a rotor bearing system. Mech. Syst. Sign. Process. 36, 157–175 (2001)
Phadke, A.G., Ibrahim, M., Hlibka, T.: Fundamental basis for distance relaying with symmetrical components. IEEE Trans. Power Apparatus Syst. 96, 635–646 (1977)
Staszewski, W.J.: Structural and mechanical damage detection using wavelets. Shock Vibr. Dig. 30, 457–472 (1998)
Prabhakar, S., Mohanty, A.R., Sekhar, A.S.: Application of discrete wavelet transforms for detection of ball bearing race faults. Tribol. Int. 35, 793–800 (2002)
Galli, A.W., Heyd, G.T.: Comments on power quality assessment using wavelets. The 27 Annual NAPS. Bozeman, MT, U.S.A
Yuan, F.S., Chu, F.L.: Fault diagnosis based on particle swarm optimization and support vector machines. Mech. Syst. Sign. Process. 20, 1787–1798 (2007)
Kankar, P.K., Sharma, S.C., Harsha, S.P.: Fault diagnosis of ball bearing using continuous wavelet transforms. Appl. Soft Comput. 11, 2300–2312 (2011)
Lin, J., Zuo, M.J.: Gearbox fault diagnosis using adaptive wavelet filter. Mech. Syst. Sign. Process. 17, 1259–1269 (2003)
Daubechies, I.: Ten Lectures on Wavelets. Regional Conference Series in Applied Mathematics. SIAM, Philadelphia (1992)
Watrous, J.: Theory of Quantum Information, 2.4 Norms of operators, lecture notes, University of Waterloo (2008)
Meyer, C.D.: Matrix Analysis and Applied Linear Algebra. SIAM (2000)
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Sharma, R., Kumar, A., Kankar, P.K. (2014). Ball Bearing Fault Diagnosis Using Continuous Wavelet Transforms with Modern Algebraic Function. In: Babu, B., et al. Proceedings of the Second International Conference on Soft Computing for Problem Solving (SocProS 2012), December 28-30, 2012. Advances in Intelligent Systems and Computing, vol 236. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1602-5_35
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DOI: https://doi.org/10.1007/978-81-322-1602-5_35
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