STUDY ON VIBRATION CONTROLL OF CYCLIC PERIODIC STRUCTURES CONSIDERING MODES LOCALIZATION

The dynamics model of disordered cyclic periodic piezoelectric smart structure is established through the finite element method. The active vibration control of the structure is studied in a modal space by applying Linear Quadratic Regulator control method. In terms of a typical example, the dynamic characteristics and vibration control under a small disturbance are investigated. Results show that the small disorder of weak coupling cyclic periodic structure can induce remarkable vibration mode localization, and the ratio of the amplitude of a perfect structure to that of a disordered structure is about 30%. The piezoelectric smart structure has a good effect on vibration control, and the localization of vibration modes must be considered seriously in the active vibration control of the kinds of structure.