On the dualism of voltage oscillations and kinematical variables of a 1D-beam piezofilm

The aim of this paper is to model in a mathematical way the relation between kinematical variables and voltage oscillation as experimentally observed with a PVDF (Polyvinylidene fluoride) piezofilm under dynamical excitation. The dynamic loads induce the vibrations on the piezofilm’s tip. The scientific investigation has been conducted using a laboratory equipment where a piezofilm is excited by a harmonic load. The piezofilm is considered as 1-D beam studied according to the Timoshenko’s theory and discretized by finite element method coupled to its electro-mechanical characteristics. The kinematical variables of each element of the beam are the two vertical displacements and two rotations. The normal stress and axial deformation are not involved in the study in order to make the investigation as simple as possible. The analytical solution of charge displacement depending on the kinematics has been developed in order to compare the results with experimental investigation of the manufacturer.