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Meccanica
Erschienen in: Meccanica 3/2015

01.03.2015 | Advances in Dynamics, Stability and Control of Mechanical Systems

Linear stability of piezoelectric-controlled discrete mechanical systems under nonconservative positional forces

verfasst von: Francesco D’Annibale, Giuseppe Rosi, Angelo Luongo

Erschienen in: Meccanica | Ausgabe 3/2015

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Abstract

Discrete models of piezoelectric controlled mechanical systems, subjected to follower forces, are derived in this paper. A targeted strategy of control is first discussed, leading to detect three novel linear controllers resembling, in the order, the Tuned Mass Damper with large and small mass, respectively, and Energy Sink, used in the literature for controlling linear and nonlinear oscillations. Here, however, and differently from those systems, coupling between the controller and the main structure is of gyroscopic type, whose magnitude is governed by an electro-mechanical parameter. Based on an eigenvalue sensitivity analysis, carried out via suitably selected perturbation methods, the effectiveness of the three controllers is investigated. As an application, the two-degree-of-freedom Ziegler column, undergoing Hopf bifurcation triggered by a follower force, equipped with piezoelectric controllers, is studied, and the different strategies proposed numerically compared.
Vorheriger Artikel Tuned Mass Damper optimization for the mitigation of human-induced vibrations of pedestrian bridges
Nächster Artikel Experimental investigation on VIV-galloping interaction of a rectangular 3:2 cylinder

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Metadaten
Titel
Linear stability of piezoelectric-controlled discrete mechanical systems under nonconservative positional forces
verfasst von
Francesco D’Annibale
Giuseppe Rosi
Angelo Luongo
Publikationsdatum
01.03.2015
Verlag
Springer Netherlands
Erschienen in
Meccanica / Ausgabe 3/2015
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-014-0037-4

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