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Vibration suppression of circular thin plates with piezoactuators using a wave-absorbing controller

In this paper, active wave control is applied to suppress the vibrations of circular thin plates. A wave-absorbing controller (WAC) is developed where piezotransducers are used to suppress the vibration waves propagating across the surface of the plate. A dynamic wave model of piezosensors (as strain and strain rate sensors) is presented after the concentrated moment model of piezoactuators is obtained. A new wave state-space model of the smart circular plate consisting of a circular thin plate with bonded piezoelectric transducers is derived. Defining the output and input wave functions, a control system is introduced. The control performance is then evaluated in terms of frequency response and displacement distribution. The frequency- and time-domain results show that the controller can suppress the flexural vibrations effectively.