Phase control of self-sustained vibration

Some new vibratory machines have recently been developed using the concept of autoresonant systems. These are electro-mechanical self-sustained vibrating systems with phase shifting feedback. The use of this concept for vibratory machine design overcomes the difficulties in excitation and maintaining the resonant regimes in systems with nonlinearities and variable loads. The design of autoresonant systems relies entirely on the amplitude-phase characteristics of vibrating systems. This paper is devoted to the analysis of these characteristics and linear vibrating systems with one and two degrees of freedom and non-linear systems are considered. The main purpose is to investigate the main properties of these characteristics near resonance. It is also shown that amplitude-phase curves allow robust and reliable vibration control due to their flatness and single-valuedness. (C) 2001 Academic Press.