Ultrasonic sandwich transducer is a half-wave resonant structure which
oscillates in thickness direction. This paper presents a new Matlab/ Simulink
model of a prestressed unsymmetrical ultrasonic sandwich transducer, which is
modeled by applying three-dimensional (3D) Matlab/Simulink models of
piezoceramic rings and metal endings derived from the piezoceramic ring
model. With the cascade connection of the piezoceramic rings model with metal
endings model, a complete model of ultrasonic transducer is obtained. Using
this model one may determine any transducer transfer function, whereat is
taken into the account the external medium influence, as well as the
influence of the thickness and radial modes of each transducer component. The
electromechanical equivalent circuit of the hammer transducer, which
represents onedimensional (1D) model, is also derived and presented in this
paper. The comparisons between experimental and theoretical results are quite
good and validate the new analytical 3D design approach.