On nonlinear response of a cracked rotor with two disks

Considering the cracked rotor with two disks we explain how to compute its nonlinear dynamic response and a numerical example is given. The conclusions are: as rotating speed varies, doubling periodic response, quasi-periodic response or even chaos occurs; as ΔK, a quantity related to crack depth, varies from 0.5851 to 0.602 with 0.5881 0.59, 0.591 and 0.60 as intermediate values, how chaos appears and disappears; the frequency of swing vibration is an integer multiple (2,3, ...) of the frequency of rotating; chaos goes through a process of doubling periodic bifurcation before it finally disappears; sufficient amount of imbalance can make chaos disappear, and intermittent chaos and doubling periodic bifurcation with time exist.