Calculating Fractal Dimension of Worn Bearing's Vibration Signals in Automotive Transmission Beijing Institute of Technology

Format:

Conference/Event

Author/Creator:

Yunkui, Xiao, author.

Conference Name:

SAE 2003 Noise & Vibration Conference and Exhibition (2003-05-05 : Grand Traverse, Michigan, United States)

Language:

English

Physical Description:

1 online resource

Place of Publication:

Warrendale, PA SAE International 2003

Summary:

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

Notes:

Vendor supplied data

Publisher Number:

2003-01-1487

Access Restriction:

Restricted for use by site license