Abstract:
Combined with piezoelectric plane strain and three-dimensional piezoelasticity theory, the radial vibration characteristics of a piezoelectric ceramic thick hollow cylinder with radial polarization has been investigated. By virtue of the separation of variables technique, the integral equation of radial displacement can be solved analytically the and closed form solutions are obtained. Its electro-mechanical equivalent circuit and equivalent impedance are derived. Based on the equivalent circuits and using the boundary conditions，the resonance and anti-resonance frequency equations are also obtained. The impedance curve displayed as a function of the frequency is given, the relations between the resonance frequency, the anti-resonance frequency, the effective electromechanical coupling coefficient and the radius ratio are analyzed. The resonance and anti-resonance frequencies of different radius tubes are calculated by use of numerical method, which are consistent with that of the finite element analysis. The accuracy of this theory are verified by theoretical and experimental tests about resonance frequency of two piezoelectric ceramic thick hollow cylinder. All these provide the basis for the composite pipe piezoelectric ultrasonic transducer theoretical research and design.
