Dynamic admittance matrix of metal core piezoelectric fiber

Abstract

The metal core piezoelectric fiber (MPF) is one of the new type piezoelectric devices for sensors and actuators. To investigate the dynamic characteristics of a cantilever MPF, the dynamic admittance matrix is established. It can describe the response of a cantilever MPF subjected to driving parameters, a harmonically varying axial force F at the tip and a harmonically varying voltage V on the electrodes. The responses parameters of a cantilever MPF, including a dynamic tip elongation δ and a dynamic electric charge Q, can be obtained using the vibration theory and the average distributed electrical charge method. The response parameters are related to the driving parameters by a 2 × 2 matrix. The dynamic models for measuring piezoelectric parameters of a MPF are given in order to illustrate the applications of the previous dynamic admittance matrix. The piezoelectric parameters, the elastic coefficient s_{11}^E , the piezoelectric coefficient d_{31} and the dielectric constantε _{33}^T of MPF were measured experimentally.