Phase monitoring by ESPRIT with sliding window and hilbert transform for early detection of gear cracks

Abstract

The detection of cracks in gears may be considered as among the most complicated operations in the diagnosis of this type of machines. This paper presents the crack signature in the vibration signal through a numerical model. Then, a comparison of phase analysis is conducted between the phase estimated by the Hilbert method and the proposed technique Estimation of Signal Parameters via Rotational Invariant Technique (ESPRIT) by using a sliding window. This comparison was made on signals coming from both a numerical model of a cracked tooth and a multiplicative signal modulated in frequency. The proposed method gives very interesting results despite the existence of the amplitude modulation generated by the transmission error of the gear model.