Obtaining Dynamic Responses of Rotor from a Synchronizing Derived System Driven by Responses of Some Elastic Supports

For rotating machinery, during its running, direct measuring for vibration of rotating components is very difficult. To overcome this defect, we presented a scheme to obtain dynamical responses of a rotor system by synchronizing with a derived virtual system. For a rotor system, a derived system is established, of which some parts are designed to be incorporated with the measurable part of the original rotor system. Then it is proved theoretically that the two systems can reach synchronization, which implies the two systems' responses are identical. We hope that the derived virtual system can exhibit the dynamical response of the original system, especially in the case of faults occurring. Thus in simulations, first we add a base disturbance to the rotor system. The simulation results reveal that the derived system can reach synchronization with the disturbed rotor quiet well and thus show the disturbed response. Then we assume that there occurs bolt looseness in the rotor support, the simulation shows that the derived system can maintain synchronization with the fault rotor. Thus we can obtain the response of the rotor from the derived system, even the angle response difficult to measure in practice.