The objective of this work is to demonstrate the feasibility of the use of the nonlinear saturation-based control concept to suppress self-excited vibrations by means of active nonlinear feedback control. The authors use the van der Pol oscillator as the working model for a self-excited system. A saturation phenomenon is induced by tuning the frequency of the under-damped second-order absorber to one-half that of the primary system. Although the authors conclude that we can achieve some level of performance with this control technique, we question its robustness due to the rich dynamics introduced by the controller.
Oueini, S.S. and Nayfeh, A.H., 2000, “Analysis and application of a nonlinear vibration absorber,” Nonlinear Dynamics6(7), 999—1016.
7.
Oueini, S.S., Nayfeh, A.H., and Pratt, J.R., 1998, “A nonlinear vibration absorber for flexible structures ,” Nonlinear Dynamics15, 259—282.
8.
Oueini, S.S., Nayfeh, A.H., and Pratt, J.R., 1999, “A review of development and implementation of an active nonlinear vibration absorber,” Archive of Applied Mechanics69, 585—620.
9.
Verhulst, F., 2005, “Quenching of self-excited vibrations,” Journal of EngineeringMathematics53, 349—358.
