A Neuro-Fuzzy Approach to Gear System Monitoring
2004, IEEE Transactions on Fuzzy Systems
https://doi.org/10.1109/TFUZZ.2004.834807Abstract
The detection of the onset of damage in gear systems is of great importance to industry. In this paper, a new neuro-fuzzy diagnostic system is developed, whereby the strengths of three robust signal processing techniques are integrated. The adopted techniques are: the continuous wavelet transform (amplitude) and beta kurtosis based on the overall residual signal, and the phase modulation by employing the signal average. Three reference functions are proposed as post-processing techniques to enhance the feature characteristics in a way that increases the accuracy of fault detection. Monitoring indexes are derived to facilitate the automatic diagnoses. A constrained-gradient-reliability algorithm is developed to train the fuzzy membership function parameters and rule weights, while the required fuzzy completeness is retained. The system output is set to different monitoring levels by using an optimization procedure to facilitate the decision-making process. The test results demonstrate that the novel neuro-fuzzy system, because of its adaptability and robustness, significantly improves the diagnostic accuracy. It outperforms other related classifiers, such as those based on fuzzy logic and neuro-fuzzy schemes, which adopt different types of rule weights and employ different training algorithms.
References (36)
- G. Dalpiaz, A. Rivola, and R. Rubini, "Effectiveness and sensitivity of vibration processing techniques for local fault detection in gears," Mech. Syst. Signal Process., vol. 14, no. 3, pp. 387-412, 2000.
- W. Wang, F. Ismail, and F. Golnaraghi, "Assessment of gear damage monitoring techniques using vibration measurements," Mech. Syst. Signal Process., vol. 15, no. 5, pp. 905-922, 2001.
- J. Gertler, Fault Detection and Diagnosis in Engineering Sys- tems. New York: Marcel Dekker, 1998.
- R. Isermann, "Supervision, fault-detection and fault-diagnosis methods -An introduction," Control Eng. Pract., vol. 5, no. 5, pp. 639-652, 1997.
- R. Patton, P. Frank, and R. Clark, Issues of Fault Diagnosis for Dynamic Systems. New York: Springer-Verlag, 2000.
- A. Pouliezos and G. Stavrakakis, Real Time Fault Monitoring of Indus- trial Processes. Norwell, MA: Kluwer, 1994.
- R. Duda, P. Hart, and D. Stork, Pattern Classification. New York: Wiley, 2001.
- B. Paya and I. Esat, "Artificial neural networks based fault diagnostics of rotating machinery using wavelet transforms as a preprocessor," Mech. Syst. Signal Process., vol. 11, no. 5, pp. 751-765, 1997.
- M. Tsujitani and T. Koshimizu, "Neural discriminant analysis," IEEE Trans. Neural Networks, vol. 11, pp. 1394-1401, Oct. 2000.
- H. Ney, "On the probabilistic interpretation of neural network classifiers and discriminative training criteria," IEEE Trans. Pattern Anal. Machine Intell., vol. 17, pp. 107-119, Feb. 1995.
- V. B. Jammu, K. Danai, and D. G. Lewicki, "Structure-based con- nectionist network for fault diagnosis of helicopter gearboxes," Trans. ASME J. Mech. Design, vol. 120, pp. 100-105, 1998.
- L. Zadeh, "The role of fuzzy logic in the management of uncertainty in expert systems," Fuzzy Sets Syst., vol. 11, no. 3, pp. 199-228, 1983.
- C. K. Mechefske, "Objective machinery fault diagnosis using fuzzy logic," Mech. Syst. Signal Processing, vol. 12, no. 6, pp. 855-862, 1998.
- L. Zeng and H. Wang, "Machine-fault classification: A fuzzy set ap- proach," Int. J. Adv. Manufact. Technol., vol. 6, pp. 83-94, 1991.
- R. Isermann, "On fuzzy logic applications for automatic control, super- vision, and fault diagnosis," IEEE Trans. Syst., Man, Cybern. A, vol. 28, pp. 221-235, Apr. 1998.
- M. Stenes and H. Roubos, "GA-fuzzy modeling and classification: Com- plexity and performance," IEEE Trans. Fuzzy Syst., vol. 8, pp. 509-522, June 2000.
- S. Li and M. Elbestawi, "Fuzzy clustering for automated tool condition monitoring in machining," Mech. Syst. Signal Process., vol. 10, no. 5, pp. 533-550, 1996.
- J. Jang, C. Sun, and E. Mizutani, Neuro-Fuzzy Soft Computing. Upper Saddle River, NJ: Prentice-Hall, 1997.
- J. Buckley and Y. Hayashi, "Neural nets for fuzzy systems," Fuzzy Sets Syst., vol. 71, pp. 265-276, 1995.
- C. Lin and Y. Lu, "A neural fuzzy system with linguistic teaching sig- nals," IEEE Trans. Fuzzy Syst., vol. 3, pp. 169-189, Apr. 1995.
- S. Pal and S. Mitra, "Multilayer perceptron, fuzzy sets and classifica- tion," IEEE Trans. Neural Networks, vol. 3, pp. 683-697, Aug. 1992.
- P. Simpson, "Fuzzy min-max neural networks, -Part II: Clustering," IEEE Trans. Fuzzy Syst., vol. 1, pp. 32-45, Feb. 1993.
- A. Ghosh, N. Pal, and S. Pal, "Self-organization for object extraction using a multiplayer neural network and fuzziness measures," IEEE Trans. Fuzzy Syst., vol. 1, pp. 54-68, Feb. 1993.
- S. Abe, Pattern Classification: Neuro-Fuzzy Methods and Their Com- parison. New York: Springer-Verlag, 2001.
- C. Lin and C. Lee, Neural Fuzzy Systems: A Neuro-Fuzzy Synergism to Intelligent Systems. Upper Saddle River, NJ: Prentice-Hall, 1996.
- P. McFadden, "A technique for calculating the time domain averages of the vibration of the individual planet gears and the sun gear in an epicyclic gearbox," J. Sound Vibrat., vol. 144, no. 1, pp. 163-172, 1991.
- G. Strang and T. Nguyen, Wavelets and Filter Banks. Cambridge, MA: Wellesley-Cambridge Press, 1996.
- D. Bollahbal, F. Golnaraghi, and F. Ismail, "Amplitude and phase wavelet maps for the detection of cracks in geared systems," Mech. Syst. Signal Process., vol. 13, no. 3, pp. 423-436, 1999.
- F. Ismail, H. Martin, and F. Omar, "A statistical index for monitoring tooth cracks in a gearbox," in Proc. ASME Biennial Conf. Vibration and Noise, vol. DE-84-1, Boston, MA, 1995, pp. 1413-1418.
- P. D. McFadden, "Detecting fatigue cracks in gears by amplitude and phase demodulation of the meshing vibration," J. Vibrat., Acoust., Stress, Reliability Design, vol. 108, pp. 165-170, 1986.
- C. Lee, "Fuzzy logic in control systems: Fuzzy logic controller -Part I," IEEE Trans. Syst., Man, Cybern., vol. 20, pp. 404-418, Mar. 1990.
- D. Wismer and R. Chattergy, Introduction to Nonlinear Optimiza- tion. New York: Elsevier, 1978.
- H. Ishibuchi and T. Nakashima, "Effect of rule weights in fuzzy rule-based classification systems," IEEE Trans. Fuzzy Syst., vol. 9, pp. 506-515, June 2001.
- Y. Chen, "A fuzzy decision system for fault classification using high levels of uncertainty," Trans. ASME J. Dyna. Syst., Measure., Control, vol. 117, pp. 108-115, 1995.
- H. Ishibuchi, K. Kwon, and H. Tanaka, "A learning algorithm for fuzzy neural networks with triangular fuzzy weights," Fuzzy Sets Syst., vol. 71, pp. 277-293, 1995.
- D. Nauck, "Adaptive rule weights in neuro-fuzzy systems," Neural Comput. Applicat., vol. 9, pp. 60-70, 2000.