Fractal Theory Method’s Research of the Gear Fault Diagnosis

Abstract

This paper connects the fractal theory with the mechanical fault diagnosis，discusses the basic concept of the fractal dimension，and makes the technique of the phase space reconstruction for deriving the correlation dimension. Research result indicates that the correlation dimension in fractal geometry can efficiently reflect the shock signal component that excited by fault in gear’s vibration signal, and describe the development state of gear’s fault. Therefore, it’s sensitive to initial fault type of complicated mechanical system by using correlation dimensions in fractal theory to analyze.