Nano-vibration characteristics of a piezoelectric plate wirelessly driven by electric field

Nano-vibration characteristics of a wirelessly driven piezoelectric plate operating in the thickness mode have been analyzed in this work. A mechanical resonance vibration is excited in the piezoelectric plate wirelessly driven by ac electric field produced from focused electric field structure. Theoretically it has been found that the vibration displacement depends on the electric field, operating frequency, electrical load, and dimensions of the driven piezoelectric plate. The electric field pattern is theoretically calculated to assess the electric field on the surface of the piezoelectric plate. It has been observed that the vibration displacement reaches the maximum at resonance frequency, and the maximum vibration displacement is in the nanometer range. It has been seen that the vibration displacement at resonance increases with the increase of the electrical load resistance, the increase of the area of piezoelectric plate, and the decrease of the thickness of piezoelectric plate operating in the thickness vibration mode.