Mathematic Morphology Based Fractal Dimension and Its Application to Fault Diagnosis of Roller Bearing

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Journal of Vibration and Shock ›› 2010, Vol. 29 ›› Issue (5) : 191-194.

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Mathematic Morphology Based Fractal Dimension and Its Application to Fault Diagnosis of Roller Bearing

Li Bing1,2;Zhang Pei-lin1;Ren Guo-quan1;Liu Dong-sheng2;Mi Shuan-shan2

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Abstract

The vibration signal generated from defected roller bearing demonstrates a typical nonlinearity. The fractal theory provides an effective approach to analysis the characteristic of the roller bearing fault signal. As an extension of the traditional Minkowski-Boulingand fractal dimension, mathematical morphology based fractal dimension is calculated via the morphological operation. This new fractal estimation method was detailed in this study. A comparison between the new fractal dimension and the most used box dimension has also been studied by applying to the real vibration signal acquired from four different states of roller bearing, i.e. normal, roller element defect, inner race defect and outer race defect. The results reveal that the mathematical morphology based fractal dimension yields higher accuracy as well as less calculation cost and demonstrates as an effective tool for fault diagnosis of roller bearing.

Key words

Fractal dimension / Mathematical morphology / Roller bearing / Fault diagnosis / Feature extraction

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Li Bing;Zhang Pei-lin;Ren Guo-quan;Liu Dong-sheng;Mi Shuan-shan. Mathematic Morphology Based Fractal Dimension and Its Application to Fault Diagnosis of Roller Bearing[J]. Journal of Vibration and Shock, 2010, 29(5): 191-194