Abstract
In this paper, transition probability analysis for piezoceramic actuators is presented. Nonlinear constitutive equations and resulting system models quantifying the non-linear and hysteretic field-displacement relations inherent to piezoceramic elements are developed. In the model development, lattice-level energy relations are combined with stochastic homogenization techniques to construct non-linear constitutive relations which accommodate the piezoceramic hysteresis. Simulation results demonstrated the effectiveness of the theoretical model development using transition probability analysis.
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