Abstract: The resonance problem of the rotor system is the key research direction of rotor dynamics. The material properties and geometry size of rotor system are random parameters because of the manufacturing environment, technical conditions, manufacturing and installation errors, multiphase materials, features and other factors. According to the relation criterion that the difference between the natural frequency and the driving frequency of rotor systems is not beyond a specific value, the reliability mode and reliability of rotor systems with correlation failure modes are defined considering the correlation of the multi-order natural frequency and the random characteristics of structure size and material. The frequency reliability analysis method for avoiding the resonant is carried out. The second-order joint failure probability of rotor system is obtained by using the numerical integration method. The quasi-failure analysis method for resonant problem of the random rotor systems with correlation failure modes is studied. A numerical example demonstrated that the proposed method is effective.

Key words: Correlation failure modes, Frequency reliability, Random perturbation, Resonance, Rotor system