Application of mathematical morphology based generalized fractal dimensions for engine fault diagnosis

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Journal of Vibration and Shock ›› 2011, Vol. 30 ›› Issue (10) : 208-211,.

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Application of mathematical morphology based generalized fractal dimensions for engine fault diagnosis

LI Bing1,2, ZHANG Pei-lin1,REN Guo-quan1, MI Shuan-shan2, LIU Dong-sheng2

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Abstract

The vibration signals generated by engine can be regarded as a typical nonlinear signal. The fractal geometrical theory has provided an efficient tool to characterize the nonlinearity of such a signal. Multifractal contains more information compared to the single fractal dimension and can characterize the geometrical feature and local scale feature more appropriately. In order to overcome the deficiency of the traditional calculation method of the generalized fractal dimensions, a mathematical morphology based generalized fractal estimation technique is proposed in this study. Signals acquired from different types of engine condition, i.e. normal condition, misfire fault and intake valve clearance fault were employed to evaluate this new method. Results have revealed that the generalized fractal dimensions calculated by mathematical morphology were very stable and have a superior capacity to distinguish the different engine operating states. Otherwise, mathematical morphology operation contains only the simple addition，subtraction, maximum and minimum operations which can dramatically reduce the computational complexity compared to other techniques. Thus the proposed method has demonstrated a more fast and effective technique for accurate fault diagnosis of engine.

Key words

mathematical morphology / multifractal / generalized fractal dimension / engine / fault diagnosis / feature extraction

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LI Bing;ZHANG Pei-lin;REN Guo-quan;MI Shuan-shan;LIU Dong-sheng . Application of mathematical morphology based generalized fractal dimensions for engine fault diagnosis[J]. Journal of Vibration and Shock, 2011, 30(10): 208-211,