FORCED VIBRATIONS OF METAL-PIEZOCERAMIC THIN COMPOSITE CIRCULAR PLATE EXCITED WITH VOLTAGE

This paper reports the exact solution and the approximate solution of forced vibration of general metal-piezoceramic thin composite circular plate excited with voltage. The general thin composite circular plate are constructed using two piezoceramic diskes of radius b and one metal thin circular plate of radius a. After correctly arranged polarity of piezoelectric ceramics, flexural vibration of general thin composite circular plate can be excited with alternating voltage. The equations of motion, continuous conditions and boundary conditions of the system are derived from Hamilton's principle. The exact solution and the equation of resonant frequency for simply supported edge and clamped edge are obtained. Under simply supported boundary condition, the effect of excited voltage is just like a excited bending moment on the edge for thin composite circular plate for b=a. Under clamped boundary condition, the thin composite circular plate for b=a exhibit pure elasticity, hence flexural vibration can not be excited with voltage.
The approximate solution of forced vibration, excited with voltage, and the equation of resonant frequency of general thin composite, circular plate are obtained with Rayleigh-Ritz method. The approximate resonant fre quencies are in good agreement with the experimentation.