Piezoelectric control of Hopf bifurcations: A non-linear discrete case study
| Autor: | Francesco D׳Annibale, Angelo Luongo, Giuseppe Rosi |
|---|---|
| Přispěvatelé: | International Research Center on Mathematics and Mechanics of Complex Systems, University of L׳Aquila, 67100 L׳Aquila, Italy, Laboratoire de Modélisation et Simulation Multi Echelle (MSME), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Est Créteil Val-de-Marne - Paris 12 (UPEC UP12)-Université Paris-Est Marne-la-Vallée (UPEM), International Research Centre on Mathematics & Mechanics of Complex Systems (M&MoCS), Università degli Studi dell'Aquila [L'Aquila] (UNIVAQ.IT), Università degli Studi dell'Aquila = University of L'Aquila (UNIVAQ), Université Paris-Est Marne-la-Vallée (UPEM)-Université Paris-Est Créteil Val-de-Marne - Paris 12 (UPEC UP12)-Centre National de la Recherche Scientifique (CNRS), Università degli Studi dell'Aquila (UNIVAQ) |
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Follower forces
Hopf bifurcation Limit cycle analysis Non-linear Ziegler column Piezoelectric control Mechanical Engineering Mechanics of Materials Applied Mathematics 02 engineering and technology 01 natural sciences symbols.namesake 0203 mechanical engineering Control theory Limit cycle 0103 physical sciences 010301 acoustics Mathematics Critical load [SPI.MECA.BIOM]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Biomechanics [physics.med-ph] Piezoelectricity Mechanical system Nonlinear system 020303 mechanical engineering & transports Coupling parameter symbols |
| Zdroj: | nternational Journal of Nonlinear Mechanics nternational Journal of Nonlinear Mechanics, 2016, 80, pp.160-169. ⟨10.1016/j.ijnonlinmec.2015.09.012⟩ International Journal of Non-Linear Mechanics International Journal of Non-Linear Mechanics, 2016, 80, pp.160-169. ⟨10.1016/j.ijnonlinmec.2015.09.012⟩ International Journal of Non-Linear Mechanics, Elsevier, 2016, 80, pp.160-169. ⟨10.1016/j.ijnonlinmec.2015.09.012⟩ |
| ISSN: | 0020-7462 |
| DOI: | 10.1016/j.ijnonlinmec.2015.09.012⟩ |
| Popis: | International audience; 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect