Electromechanical coupled dynamic characteristics of the plate with piezoelectric network

Electromechanical coupled dynamic equations of the plate with piezoelectric network were established which was based on homogenization method of modeling composite structure. The characteristic equation of this coupled system was obtained by solving the dynamic equations. Through solving the characteristic equations it is found that the nature modes of the system always appear in coupled pairs, and the varying of frequencies corresponding to the coupled modal pairs with the inductance has a veer. Further analysis on the energy exchange in frequency veering zones of the system gave the mechanism of the frequency veering phenomena. At last, impacts of design parameters to frequency veering zones were studied, which provides theoretical reference for reasonable design of the plate with piezoelectric network.