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Calculating Fractal Dimension of Worn Bearing's Vibration Signals in Automotive Transmission
Technical Paper
2003-01-1487
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
This paper first discusses the principles of how to identify whether a time series has chaotic characteristics, and explores a method of finding out the embedding dimension of a time series. Then Grassberger-Procaccia (G-P) algorithm is adopted to calculate correlative dimension. After the validity of G-P algorithm is confirmed using several traditional strange attractors, it is applied to calculate the fractal dimension of some vibration signals of an automotive transmission.
This article presents how to apply chaos and fractal theories to diagnose the wearing of ball bearings in automotive transmissions based on the analysis of the transmission acceleration vibration signals. The results show that the vibration signals of automotive transmissions have fractal nature. There are certain correlations between a bearing's condition and the fractal dimension of its vibration signal. While other conditions being equal, the more serious the wearing of a bearing is, the bigger the fractal dimension of the vibration signals is. When the sample size is big enough, the calculated fractal dimension becomes stable.
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Authors
- Xiao Yunkui - Beijing Institute of Technology
- Li Shiyi - Beijing Institute of Technology
- Joe Meng - Cummins Engine Company, Inc.
- Qu Dawei - Department of Auto Engineering, Military Transportation Institute of China
- Wang Jianxin - Department of Auto Engineering, Military Transportation Institute of China
- Dai Liandi - Department of Auto Engineering, Military Transportation Institute of China
- Xing Wenhua - Department of Auto Engineering, Military Transportation Institute of China
- Cao Yajuan - Department of Auto Engineering, Military Transportation Institute of China
Citation
Yunkui, X., Shiyi, L., Meng, J., Dawei, Q. et al., "Calculating Fractal Dimension of Worn Bearing's Vibration Signals in Automotive Transmission," SAE Technical Paper 2003-01-1487, 2003, https://doi.org/10.4271/2003-01-1487.Also In
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