A review of development and implementation of an active nonlinear vibration absorber (Q1977069)

The authors present the implementation of an active nonlinear vibration absorber. The control technique exploits the saturation phenomenon that occurs in quadratically-coupled multi-degree-of-freedom systems subjected to primary excitation and possessing a two-to-one internal resonance. The absorber is coupled with the structure through a sensor and an actuator, where the feedback and control signals are quadratic. First, the authors study the control of vibrations of a single-degree-of-freedom system. The equations governing the response of the closed-loop system and the method of multiple scales allow to obtain an approximate solution. Then the authors investigate the performance of control strategy by studying its steady-state and transient characteristics. An electronic circuit is designed to emulate the absorber, and the approach is extended to multi-degree-of-freedom systems. The results show a successful reduction of the response amplitude for the structures.