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27 April 2007 Nonlinear modeling of piezoelectric layered beams
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Abstract
The dynamic equations of piezoelectric benders are studied in this paper, considering nonlinear behavior of piezoceramics. A second order approximation of constitutive equations of piezoceramics is used to account for reversible nonlinearities. Transversal and longitudinal deflections at the tip of the beam and the blocking force as well as sensor equations (output charge as a function of external loads) are obtained under static conditions. The static equations are then used to construct a linear dynamic model for actuation. A Bouc-Wen type hysteresis model is employed in order to account for the irreversible nonlinearities. The final equation of motion is in the form of well-known Hill's equation.
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Mehdi Saghafi, Nader Jalili, and Ali Meghdari "Nonlinear modeling of piezoelectric layered beams", Proc. SPIE 6525, Active and Passive Smart Structures and Integrated Systems 2007, 652528 (27 April 2007); https://doi.org/10.1117/12.715816
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