An Intelligent Diagnosis Method for Rotating Machinery Using Least Squares Mapping and a Fuzzy Neural Network

This study proposes a new condition diagnosis method for rotating machinery developed using least squares mapping (LSM) and a fuzzy neural network. The non-dimensional symptom parameters (NSPs) in the time domain are defined to reflect the features of the vibration signals measured in each state. A sensitive evaluation method for selecting good symptom parameters using detection index (DI) is also proposed for detecting and distinguishing faults in rotating machinery. In order to raise the diagnosis sensitivity of the symptom parameters the synthetic symptom parameters (SSPs) are obtained by LSM. Moreover, possibility theory and the Dempster & Shafer theory (DST) are used to process the ambiguous relationship between symptoms and fault types. Finally, a sequential diagnosis method, using sequential inference and a fuzzy neural network realized by the partially-linearized neural network (PLNN), is also proposed, by which the conditions of rotating machinery can be identified sequentially. Practical examples of fault diagnosis for a roller bearing are shown to verify that the method is effective.

[1]  Peng Chen,et al.  Sequential Fuzzy Diagnosis for Plant Machinery , 2003 .

[2]  B. Samanta,et al.  ARTIFICIAL NEURAL NETWORK BASED FAULT DIAGNOSTICS OF ROLLING ELEMENT BEARINGS USING TIME-DOMAIN FEATURES , 2003 .

[3]  Huaqing Wang,et al.  Intelligent Diagnosis Method Based on Feature Spectra and Fuzzy Neural Network for Distinguishing Structural Faults of Rotating Machinery , 2010 .

[4]  Biswanath Samanta,et al.  Artificial neural networks and genetic algorithm for bearing fault detection , 2006, Soft Comput..

[5]  Peng Chen,et al.  Self-Reorganization of Feature Parameters in Frequency Domain by Genetic Programing. , 1999 .

[6]  Toshio Toyota,et al.  Fuzzy diagnosis and fuzzy navigation for plant inspection and diagnosis robot , 1995, Proceedings of 1995 IEEE International Conference on Fuzzy Systems..

[7]  Pavel Pudil,et al.  Introduction to Statistical Pattern Recognition , 2006 .

[8]  Shih-Fu Ling,et al.  On the selection of informative wavelets for machinery diagnosis , 1999 .

[9]  Dionisis Cavouras,et al.  Improving accuracy in astrocytomas grading by integrating a robust least squares mapping driven support vector machine classifier into a two level grade classification scheme , 2008, Comput. Methods Programs Biomed..

[10]  Vilém Novák,et al.  Fuzzy Set , 2009, Encyclopedia of Database Systems.

[11]  Heekuck Oh,et al.  Neural Networks for Pattern Recognition , 1993, Adv. Comput..

[12]  Didier Dubois,et al.  Handling uncertainty with possibility theory and fuzzy sets in a satellite fault diagnosis application , 1996, IEEE Trans. Fuzzy Syst..

[13]  陈进,et al.  FAULT DIAGNOSIS OF ROTATING MACHINERY USING KNOWLEDGE-BASED FUZZY NEURAL NETWORK , 2006 .

[14]  Marialuisa N. McAllister Possibility Theory: An Approach to Computerized Processing of Uncertainty (Didier Dubois and Henri Prade with the collaboration o f Henri Farreny, Roger Martin-Clouaire, and Claudette Testemale; E. F. Handing, trans.) , 1992, SIAM Rev..

[15]  Asoke K. Nandi,et al.  Real-time classification of rotating shaft loading conditions using artificial neural networks , 1997, IEEE Trans. Neural Networks.

[16]  Arthur P. Dempster,et al.  Upper and Lower Probabilities Induced by a Multivalued Mapping , 1967, Classic Works of the Dempster-Shafer Theory of Belief Functions.

[17]  Didier Dubois,et al.  Possibility Theory, Probability Theory and Multiple-Valued Logics: A Clarification , 2001, Annals of Mathematics and Artificial Intelligence.

[18]  Ronald R. Yager,et al.  Dempster–Shafer belief structures with interval valued focal weights , 2001, Int. J. Intell. Syst..

[19]  Philippe Smets,et al.  The Combination of Evidence in the Transferable Belief Model , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[20]  Glenn Shafer,et al.  A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.

[21]  Robert A. Hummel,et al.  On the Use of the Dempster Shafer Model in Information Indexing and Retrieval Applications , 1993, Int. J. Man Mach. Stud..

[22]  Jing Lin,et al.  Feature Extraction Based on Morlet Wavelet and its Application for Mechanical Fault Diagnosis , 2000 .

[23]  陈进,et al.  FAULT DIAGNOSIS OF ROTATING MACHINERY USING KNOWLEDGE-BASED FUZZY NEURAL NETWORK , 2006 .

[24]  Eric Raufaste,et al.  Testing the descriptive validity of possibility theory in human judgments of uncertainty , 2003, Artif. Intell..

[25]  Didier Dubois,et al.  Possibility Theory - An Approach to Computerized Processing of Uncertainty , 1988 .

[26]  H. S. Wolff,et al.  iRun: Horizontal and Vertical Shape of a Region-Based Graph Compression , 2022, Sensors.

[27]  L. Zadeh Fuzzy sets as a basis for a theory of possibility , 1999 .