Dynamic characteristics of cracked uncertain hollow-shaft

Considering the parametric uncertainties, the model of a rotor system with transverse crack is investigated. Polynomial Chaos Expansion is used to describe the uncertainties. The Harmonic Balance method is employed to solve the dynamic equations of cracked uncertain hollow-shaft system. The application of the PCE in hollow shaft structures will be tested and the results can provide practical reference for engineering context. Validation of present method is verified by comparing with Monte Carlo simulations. From the simulation results, the multi-vibration peaks near the first critical speed and the sub-critical speeds are sensitive to the uncertain parameters. When considering the uncertain parameters, the non-linear responses in harmonic components of the rotor system are key indicators for the detection of transverse crack.