Torsional vibration reduction for rolling mill's main drive system via negative velocity feedback under parametric excitation

Torsional vibration characteristics are important information for rotating machinery design and control. Jointed shaft is a commonly used element in drive trains of rolling mill. The torsional vibrations of one-degree -of freedom nonlinear dynamical system are controlled using active control. The multiple scale perturbation technique used to get the approximate solution of the differential equation describes the system. The worst resonance cases were deduced and the frequency response function are obtained. The stability and steady state response of the system are studied and discussed numerically. The numerical solutions are focused on both the effects of the different parameters and the system behavior at different resonance cases. To insure the validity of the results, a comparison between the numerical and analytical solution was presented.