Jürgen Schöftner, Gerda Buchberger,
"A piezoelectric Bernoulli-Euler beam theory considering moderately conductive and inductive electrodes"
, in J.F. Silva Gomes / Shaker A. Meguid: Proceedings of the 6th International Conference on Mechanics and Materials in Design, (M2D´2015): USB-Stick, 7-2015
Original Titel:
A piezoelectric Bernoulli-Euler beam theory considering moderately conductive and inductive electrodes
Sprache des Titels:
Englisch
Original Buchtitel:
Proceedings of the 6th International Conference on Mechanics and Materials in Design, (M2D´2015): USB-Stick
Original Kurzfassung:
Piezoelectric transducers are commonly used as devices for actuation, for control and for sensing in structural applications. By modifying their local piezoelectric properties or by varying the width of the piezoelectric devices, the damping capabilities can be further enhanced compared to smart elastic system, which are controlled by piezoelectric patches. Another possibility to further improve the damping performance is by changing the electrical properties of the electrodes. Most piezoelectric transducers are characterized by the fact that their electrodes are assumed to be ideal, which means that the equipotential area condition is fulfilled at the surface. In our work we develop a theory taking into account moderately conductive and inductive electrodes. In particular we combine this theory with a slender beam. The outcome of our approach is the Telegraph equation for the electrodes (2nd order in space and time), which is coupled with the Bernoulli-Euler beam theory (4th order in space, 2nd order in time). Different electrical and mechanical boundary conditions and electrode properties are considered. Finally, we gave an outlook on the practical relevance of resistive-inductive electrodes for trajectory control.