Band Gaps Of Periodic Piezoelectric Beams

Periodic structures are made of two or more elastic materials with a unique dynamic characteristic called the frequency band gap. The vibration will not propagate when the elastic waves propagate in the frequency range of band gap; while the modes of vibration can extend all over the periodic structure in the frequency range of the pass band. Since the band gap characteristic, the periodic structures provide a new way of thinking and technology for the vibration damping, seismic isolation, noise reduction and vibration control. under the background and based on the principal theory of periodic structure, this paper research the structure of periodic piezoelectric beams which introduce the piezoelectric material into the periodic structure,then their vibration band gap and dynamic response analysis are solved by the combination of the theoretical derivation,number analysis and finite element simulation. The final results showed that the structure have a better effect on the beam’s vibration attenuation. Whereas all these mentioned, the main research are listed as follows:1、Based on the Bloch-Floquet theorem and elastic dynamics theory, the article derives the analytical expressions with the transfer matrix method for the periodic piezoelectric beams band gap, and then the influences of the physical parameters, section-height ratio and the dimensions ratio of the piezoelectric patches and unit cell are discussed.2、To find out the effect of the number of periodic cells on the band gap, dynamic response analysis with limited periods structures was simulated by using ANSYS. It indicated that it is a previously attenuation in the band gap frequency range.3、Bonded and embedded periodic piezoelectric beams are formed with the technology of active control, and the calculation formula of bending vibration band gap are derived. We discussed the effect of the feedback control gain G which demonstrated the better results to the band gap control and adjusted expediently.