000013248 001__ 13248
000013248 005__ 20161114160333.0
000013248 04107 $$aeng
000013248 046__ $$k2009-06-22
000013248 100__ $$aDeu J., F.
000013248 24500 $$aAn efficient finite element formulation for passive vibration attenuation using shunt piezoelectric patches

000013248 24630 $$n2.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013248 260__ $$bNational Technical University of Athens, 2009
000013248 506__ $$arestricted
000013248 520__ $$2eng$$aThis paper concerns the numerical simulation of the vibrations of an elastic mechanical structure equipped with several piezoelectric patches, with applications to control, sensing and reduction of vibrations. Firstly, a finite element formulation of the coupled electromechanical problem is introduced, whose originality is that provided a set of non restrictiveassumptions, the system electrical state is fully described by a very few global discrete unknowns: only a couple of variables per piezoelectric patches, namely (1) the electric charge contained in the electrodes and (2) the voltage between the electrodes. A reduced order model (ROM) of the problem is then introduced, by means of a modal expansion. This leads to show that the classical efficient electromechanical coupling factors (EEMCF) naturally appear as the main parameters that master the electromechanical coupling in the ROM. Finally, the above results are applied in the case of a cantilever beam whose vibrations are reduced by means of a resonant shunt. The proposed finite element formulation enables to compute the system EEMCF as well as its frequency response that are compared to experimental results, showing an excellent agreement.

000013248 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013248 653__ $$aElectromechanical coupling, piezoelectric shunt damping, vibration reduction, finite element method. Abstract. This paper concerns the numerical simulation of the vibrations of an elastic mechanical structure equipped with several piezoelectric patches, with applications to control, sensing and reduction of vibrations. Firstly, a finite element formulation of the coupled electromechanical problem is introduced, whose originality is that provided a set of non restrictiveassumptions, the system electrical state is fully described by a very few global discrete unknowns: only a couple of variables per piezoelectric patches, namely (1) the electric charge contained in the electrodes and (2) the voltage between the electrodes. A reduced order model (ROM) of the problem is then introduced, by means of a modal expansion. This leads to show that the classical efficient electromechanical coupling factors (EEMCF) naturally appear as the main parameters that master the electromechanical coupling in the ROM. Finally, the above results are applied in the case of a cantilever beam whose vibrations are reduced by means of a resonant shunt. The proposed finite element formulation enables to compute the system EEMCF as well as its frequency response that are compared to experimental results, showing an excellent agreement.

000013248 7112_ $$aCOMPDYN 2009 - 2nd International Thematic Conference$$cIsland of Rhodes (GR)$$d2009-06-22 / 2009-06-24$$gCOMPDYN2009
000013248 720__ $$aDeu J., F.$$iThomas, O.$$iDucarne, J.
000013248 8560_ $$ffischerc@itam.cas.cz
000013248 8564_ $$s366732$$uhttps://invenio.itam.cas.cz/record/13248/files/CD369.pdf$$yOriginal version of the author's contribution as presented on CD, section: Active - passive control.
000013248 962__ $$r13074
000013248 980__ $$aPAPER