Application of the Wigner-Ville distribution to identification of a cracked rotor

Abstract

The dynamic equation of transient response in a cracked rotor is modelled, and is based on the simple hinge crack model. The numerical simulation solutions of the uncracked rotor and the cracked rotor are obtained from the model. Using the Wigner-Ville distribution, the time-frequency features of the cracked rotor and the uncracked rotor are compared, and a new algorithm using the Wigner-Ville distribution to identify the cracked rotor is proposed. By simulation research, the sensitivity of the Wigner-Ville distribution to the stiffness variation is investigated, and the influence of the unbalance and the inhabiting angle on the time-frequency feature is discussed. The Wigner-Ville time-frequency feature is unique, and can be used as the criterion for identification of a cracked rotor in engineering practices.

Keywords

Wigner-Ville distribution identification cracked rotor transient response sensitivity stiffness variation unbalance inhabiting angle time-frequency feature

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