Control strategies for the visco-elastic Beck’s beam, equipped with distributed piezoelectric devices and suffering from Hopf bifurcation triggered by a follower force, are proposed in this paper. The equations of motion of the Piezo-Electro-Mechanical (PEM) system are derived through the Extended Hamilton Principle, under the assumption that the piezoelectric patches are shunted to the so-called zero-order network and zero-order analog electrical circuit. An exact solution for the eigenvalue problem is worked out for the PEM system, while an asymptotic analysis is carried out to define three control strategies, recently developed for discrete PEM systems, that are here adapted to improve the linear stability of the visco-elastic Beck’s beam. An extensive parametric study on the piezo-electrical quantities, based on an exact linear stability analysis of the PEM system, is then performed to investigate the effectiveness of the controllers.

Casalotti, A., D'Annibale, F. (2021). Improving the linear stability of the visco-elastic Beck's beam via piezoelectric controllers. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 7, 1098-1109 [10.22055/JACM.2020.33648.2260].

Improving the linear stability of the visco-elastic Beck's beam via piezoelectric controllers

Casalotti A.;
2021-01-01

Abstract

Control strategies for the visco-elastic Beck’s beam, equipped with distributed piezoelectric devices and suffering from Hopf bifurcation triggered by a follower force, are proposed in this paper. The equations of motion of the Piezo-Electro-Mechanical (PEM) system are derived through the Extended Hamilton Principle, under the assumption that the piezoelectric patches are shunted to the so-called zero-order network and zero-order analog electrical circuit. An exact solution for the eigenvalue problem is worked out for the PEM system, while an asymptotic analysis is carried out to define three control strategies, recently developed for discrete PEM systems, that are here adapted to improve the linear stability of the visco-elastic Beck’s beam. An extensive parametric study on the piezo-electrical quantities, based on an exact linear stability analysis of the PEM system, is then performed to investigate the effectiveness of the controllers.
2021
Casalotti, A., D'Annibale, F. (2021). Improving the linear stability of the visco-elastic Beck's beam via piezoelectric controllers. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 7, 1098-1109 [10.22055/JACM.2020.33648.2260].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/438281
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? 6
social impact