Skip to Main content Skip to Navigation
Journal articles

Piezoelectric control of Hopf bifurcations: A non-linear discrete case study

Francesco d'Annibale 1 Giuseppe Rosi 2 Angelo Luongo 3
1 International Research Center on Mathematics and Mechanics of Complex Systems, University of L׳Aquila, 67100 L׳Aquila, Italy
2 MSME - Laboratoire de Modélisation et Simulation Multi Echelle
3 M&MoCS - International Research Centre on Mathematics & Mechanics of Complex Systems
Abstract : Linear and non-linear analyses of a piezoelectric controlled non-linear Ziegler column are carried out in this paper. The aim is to evaluate the effects of a linear piezoelectric element on the Hopf bifurcations of the non-linear mechanical system, triggered by the non-conservative follower force. To this end a linear stability analysis, showing the performances of the controller in shifting forward the critical load of the uncontrolled system, is carried out and the role of the electro-mechanical coupling parameter and of the mechanical damping is investigated. The beneficial effects of the controller on the amplitude of the limit cycle occurring in the post-critical field are also discussed.
Document type :
Journal articles
Complete list of metadatas
https://hal-upec-upem.archives-ouvertes.fr/hal-01595692
Contributor : Thibault Lemaire <>
Submitted on : Tuesday, September 26, 2017 - 10:47:45 PM
Last modification on : Friday, January 8, 2021 - 10:26:05 AM

Identifiers

Collections

UPEC-UPEM | CNRS | MSME_BIOMECA | MSME | UPEC | COSSEVITA

Citation

Francesco d'Annibale, Giuseppe Rosi, Angelo Luongo. Piezoelectric control of Hopf bifurcations: A non-linear discrete case study. International Journal of Non-Linear Mechanics, Elsevier, 2016, 80, pp.160-169. ⟨10.1016/j.ijnonlinmec.2015.09.012⟩. ⟨hal-01595692⟩

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Record views

452