Jürgen Schöftner, Gerda Buchberger,
"Static and dynamic shape control of laminated beams with resistively interconnected piezoelectric patches"
, in J.F. Silva Gomes / Shaker A. Meguid: Proceedings of the 4th International Conference on Integrity, Reliability and Faillure (IRF4´13): CD-ROM, 6-2013
Original Titel:
Static and dynamic shape control of laminated beams with resistively interconnected piezoelectric patches
Sprache des Titels:
Englisch
Original Buchtitel:
Proceedings of the 4th International Conference on Integrity, Reliability and Faillure (IRF4´13): CD-ROM
Original Kurzfassung:
In this contribution an extended Bernoulli-Euler theory for a laminated beam hosting several
resistively interconnected piezoelectric patches is presented. Based on this theory it is shown
how to calculate the optimal reference voltage level and to design the attached resistive
network, which connects the electrodes of the piezoelectric layers, if one intends to follow a
certain trajectory of the lateral deformation (shape control) of a tip-loaded beam. If one tries
to annihilate the harmonic vibrations along the beam axis, we show that the design criterion
derived in the static case yields that vibrations are attenuated as long as an electrical time
constant is small compared to the time constant of the harmonic excitation. This parameter
involves the number of the piezoelectric patches, the piezoelectric capacitance and the
resistances of the electric circuit. The proposed shape control method is also verified by a
three-dimensional finite element calculation in ANSYS.