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Analytical model for actuation displacement prediction of unimorph piezoelectric composite actuators

In this study, we derive an analytical solution for the simply supported and multilayered unimorph piezoelectric composite actuator as a beam model under applied voltage and external mechanical loads. The obtained solutions based on Rayleigh-Ritz technique including thermal effect and piezo-mechanical coupling effect show their convenience in various problems with different loading and boundary conditions. The von-Karman nonlinear terms in strain-displacement relations is also taken into account in the model. As a numerical illustration, model of LIPCA-C3 (LIghtweight Piezo-Composite Actuator) is analyzed. The results are compared with finite element analysis and experiment ones. Discussion on the approach and suggestions for future research activities are also presented.