Unidimensional modeling of multi-layered piezoelectric transducer structures

A study was conducted to describe the development of a unidimensional piezoelectric transducer modeling technique that has been extended to laminated structures. Stress was represented by the product of the elastic constant, electric flux density and piezoelectric constant with the particle displacement over the x-direction. The stacked transducer structure electrically connected in parallel was also represented in the study.