2004
DOI: 10.1051/jp4:2004115036
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On models of layered piezoelectric beams for passive vibration control

Abstract: In this paper models of layered piezoelectric beams are discussed. The attention is focused on the analysis of the assumptions on transversal stress and strain distribution and their influence on the deduction of the beam constitutive equations from a three dimensional description. A model accounting for non trivial transversal interactions between different layers is deduced from a mixed variational formulation where non-local conditions on transversal stress are enforced by Lagrange multipliers method. The f… Show more

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Cited by 23 publications
(19 citation statements)
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“…The micromorphic behavior of granular materials indicates the possibility of realizing materials with alternate synthesis pathways which show specific wave propagation behaviors that can be used for vibration control as an alternative to piezoelectric materials [Maurini et al 2004;2006;Porfiri et al 2005;Vidoli and dell'Isola 2001;dell'Isola and Vidoli 1998;Greco et al 2014] or for damage identification [Ferretti et al 2014;Andreaus and Baragatti 2011;. Alternatively, such materials can be applied to help optimize control procedures or for optimal biomaterial design in bone mechanics [Andreaus et al 2015b].…”
Section: Discussionmentioning
confidence: 99%
“…The micromorphic behavior of granular materials indicates the possibility of realizing materials with alternate synthesis pathways which show specific wave propagation behaviors that can be used for vibration control as an alternative to piezoelectric materials [Maurini et al 2004;2006;Porfiri et al 2005;Vidoli and dell'Isola 2001;dell'Isola and Vidoli 1998;Greco et al 2014] or for damage identification [Ferretti et al 2014;Andreaus and Baragatti 2011;. Alternatively, such materials can be applied to help optimize control procedures or for optimal biomaterial design in bone mechanics [Andreaus et al 2015b].…”
Section: Discussionmentioning
confidence: 99%
“…By substituting equation (8) into equation (9) and separately equating to zero all terms with the same order of , the following perturbation equations are obtained:…”
Section: Formulationmentioning
confidence: 99%
“…The micromorphic behavior of granular materials indicates the possibility of realizing materials with alternate synthesis pathways which show specific wave propagation behaviors that can be used for vibration control as an alternative to piezoelectric materials [Maurini et al 2004;2006;Porfiri et al 2005;Vidoli and dell'Isola 2001;dell'Isola and Vidoli 1998;Greco et al 2014] or for damage identification [Ferretti et al 2014;Andreaus and Baragatti 2011;. Alternatively, such materials can be applied to help optimize control procedures or for optimal biomaterial design in bone mechanics [Andreaus et al 2015b].…”
Section: Discussionmentioning
confidence: 99%