An analytical treatment of the piezoelectric ceramic complete ring transducer undergoing
flexural vibrations is presented. Conditions for the electromechanical excitation of the
flexural vibrations are discussed and it is shown that the fundamental mode of the flexural
vibration of a complete ring can be considered as sufficiently dominant over a broad
frequency range. Hence, the one-dimensional equivalent electromechanical circuit
representation of the transducer is applicable and all the parameters of the equivalent circuit …