Dynamical behaviors of a plate activated by an induction motor

Dynamics and chaotification of a system consisting of an induction motor activating a mobile plate (with variable contents) fixed to a spring are studied. The dynamical model of the device is presented and the electromechanical equations are formulated. The oscillations of the plate are analyzed through variations of the following reliable control parameters: phase voltage supply of the motor, frequency of the external source and mass of the plate. The dynamics of the system near the fundamental resonance region presents jump phenomenon. Mapping of the control parameters planes in terms of types of motion reveals period-n motion, quasi-periodicity and chaos. Anti-control of chaos of the induction motor is also obtained using the field-oriented control associated to the time delay feedback control.