Study of vibration equation and active control for piezo-smart beam

The vibration equation of piezo-smart beams were proposed with Heviside function and modal analysis method, then, the problem of active vibration control and suppression of piezo-smart beams were investigated under modal negative velocity feedback control law. It is concluded that triangular progression of Heviside function can make vibration equation of smart beams simple. There is no direct relationship between calculating modals' number and amount of PZT patches, modal negative velocity feedback increases modal damping of smart beams to suppress structure vibration. At last, numerical example is given to illustrate the validity of the method proposed in the paper.