Skip to Main content Skip to Navigation
Journal articles

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

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.
Complete list of metadata
Contributor : Thibault Lemaire Connect in order to contact the contributor
Submitted on : Tuesday, September 26, 2017 - 10:47:45 PM
Last modification on : Friday, August 5, 2022 - 3:03:39 PM




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⟩



Record views