Network Formalism for Modeling Functionally Gradient Piezoelectric Plates and Stacks and Simulations of RAINBOW Ceramic Actuators

Robert W. Schwartz, Missouri University of Science and Technology
A. Ballato
John Ballato

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A simple network representation is given for a stack of thin, homogeneous piezoelectric plates, executing a single thickness mode of motion. All plates may differ in thickness and material properties, including dielectric loss, ohmic conductivity, and viscous loss. Each plate is driven by a thickness-directed electric field, and all stack elements are connected electrically in series. Functionally gradient single plates and composites are readily modeled by the network, to a desired precision, using a sequence of circuit elements representing stepwise variations in material properties and layer thicknesses. Simulations of RAINBOW (reduced and internally biased oxide wafer) ceramics are given.