Shape dependence of resonant characteristics in exponentially tapered piezoelectric bimorph

An analytical method is proposed to address, the effects of geometry variations in piezoelectric bimorph actuators and the theory is applied to an actuator with an exponential tapered shape. Through five different examples, it is demonstrated, through theoretically calculated electric admittance spectra, that for a fixed length, the resonant frequency can be tailored by changing the tapering rate of the actuator. The theoretical predictions were also experimentally verified and excellent agreement was found. Our theoretical model provides a conventional tool for design optimization of such tapered bimorph actuators