Modeling of Piezoelectric Langevin Transducers by Using Mixed Transfer Matrix Methods

In the modeling of piezoelectric Langevin transducers using the usual transfer matrix methods, some simplifications have been adopted. This leads to a reduction in the model quality. A mixed transfer matrix method is employed in the modeling of Langevin transducers, where the pre-stressed bolt is modeled as a separate four-pole element connected to other elements in parallel. Based on the mixed transfer matrix method, the four (six)-pole element description of the piezoelectric Langevin transducer is built up, and the total transfer matrix relation is derived. The resonance frequencies of the transducer are calculated and then measured using an impedance analyzer (HP4192). Experimental results show that the mixed transfer matrix method has better modeling quality than the usual transfer matrix method for the vibration analysis of piezoelectric Langevin transducers.