On the tangentially and radially polarized piezoceramic thin cylindrical tube transducers

The electric admittance equations of the tangentially and radially polarized piezoceramic thin circular cylindrical tube in the unloaded case have been derived approximately. On the basis of these equations, a method to calculate the main electromechanical parameters is suggested. With the same assumptions, the equations of vibration of the tube in water and the formulas for the responses of the radiation and receiving corresponding to a wider frequency range have also been derived. A further discussion about the influence of radiation impedance, Poisson’s ratio, piezoelectric constant ratio, and coupling coefficient to the response of receiving sensitivity of the piezoceramic thin circular cylindrical tube has been given.