Abstract
Recently thickness vibrations of an unbounded elastic plate with an unbounded piezoelectric actuator and an unbounded piezoelectric power harvester have been studied for power transmission through an elastic wall with various potential applications. In this paper we analyze the more realistic geometric configuration of a structure with finite piezoelectric transducers on unbounded plates operating with slowly varying thickness modes via the first-order lamination theory for plates. In addition to the output voltage and transmitted power, confinement and localization of the vibration energy is also studied which is of practical importance and can only be understood from analyzing vibrations of finite transducers.