This paper presents a finite element procedure for modeling beam bimorph piezoelectric power harvesters including viscoelasticity.
A three node beam finite element is employed to model the longitudinal and flexural response of the piezoelectric
structure carrying an offset proof mass. Within a beam finite element, the proposed element permits a quintic polynomial
shape function for lateral deformations and a quadratic polynomial shape function for the longitudinal deformation. The
dynamic equations of the electromechanical system are established using the Lagrange equations method and solved for
harmonic base motions. A series of experiments were carried out to quantify the visco-elasticity constant of a piezoelectric
structure and validate the simulation results. Excellent agreement was observed between the measurement and simulation
data for a range of operating parameter.
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