An Improved Correlation Dimension Algorithm with Application to Mechanical Fault Diagnosis
Pang Mao1; Wu Rui-ming; Xie1 Ming-xiang2
1. School of Mechanical and Automotive Engineering, Zhejiang University of Science and Technology, Hangzhou 310023, China; 2. Department of Mechanical Engineering, Zhejiang University, Hangzhou 310027, China
Abstract： The theory of correlation dimension computation based on GP is concise, but the computation burden is heavy, and scaling region recognition automatically is hard. A method to scaling region recognition and correlation dimension computation automatically based on parameter combination and second derivative of correlation integral was presented. The effectiveness of this method was verified by the analysis of Lorenz attractor. In addition, the correlation dimensions of signals in different conditions sampled in an automobile main reducer performance test bed were computed by this method. Experiment results show that correlation dimensions are dissociable between different main reducers, so correlation dimension can be used as a quantitative criterion for recognizing fault property and level, and the improved algorithm of correlation dimension can be applied to the product testing.
2010, Vol. 29 
