Vibration analysis of cracked rotor with initial deflection

Based on the simple hinge crack model,the dynamic equation of a cracked rotor with initial deflection was modelled in dimensionless form,which can be applied to the nonlinear vibration analysis of cracked rotor with different parameters in stationary or transient state.By the aid of analytical solution,the frequency components of the cracked rotor with initial deflection were compared with those without initial deflection.The participation factors of the crack and the initial deflection were obtained,and the subcritical resonance was discussed.The stability of the cracked rotor with initial deflection was investigated using Floquet theorem,and the influence of different stiffness variation and damping ratio on stability was analyzed,which can provide a basis for identification of cracked rotor.