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.
R. W. Schwartz et al., "Network Formalism for Modeling Functionally Gradient Piezoelectric Plates and Stacks and Simulations of RAINBOW Ceramic Actuators," IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, Institute of Electrical and Electronics Engineers (IEEE), Mar 2001.
The definitive version is available at http://dx.doi.org/10.1109/58.911729
Mechanical and Aerospace Engineering
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