2008
DOI: 10.1177/1045389x08097902
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Wave Motion Optimization in Periodically Distributed Shunted Piezocomposite Beam Structures

Abstract: This article proposes a new, simple, and efficient strategy, allowing one to optimize the diffusion operator between a passive beam coupled to a like beam equipped with a periodically distributed network of shunted piezoelectric patch actuators. A multimodal wave dispersion model is used to compute the diffusion operator and analyze the stability properties of the combined system. Based on this mathematical tool, specific optimization procedures are introduced to allow maximization or minimization of the wave … Show more

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Cited by 61 publications
(77 citation statements)
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“…Considering onedimensional media, longitudinal wave propagation was firstly analyzed [6,7] and the strategy was then applied to bending waves control [8,9,10]. The classical passive resonant shunts can even be replaced by more broadband active solutions, as amplified resonant shunts [11] or negative capacitance shunts [12,13]. The periodicity of the one-dimensional structures enables the use of the transfer matrix formulation, as proposed by Mead [14] who also gave results about the propagation constants.…”
Section: Introductionmentioning
confidence: 99%
“…Considering onedimensional media, longitudinal wave propagation was firstly analyzed [6,7] and the strategy was then applied to bending waves control [8,9,10]. The classical passive resonant shunts can even be replaced by more broadband active solutions, as amplified resonant shunts [11] or negative capacitance shunts [12,13]. The periodicity of the one-dimensional structures enables the use of the transfer matrix formulation, as proposed by Mead [14] who also gave results about the propagation constants.…”
Section: Introductionmentioning
confidence: 99%
“…Structures with smart mechanical behavior are most of the time designed for static and low frequency performances (see [1,2,3] among many others). Recently, research activities have been developed to design new multi-functional structures that integrate electro-mechanical systems able to control their vibroacoustic behavior over a wide frequency band [4,5]. However, there is still a lack of studies in open literature related to the medium frequency (MF) optimization of the structural vibration.…”
Section: Introductionmentioning
confidence: 99%
“…The piezoelectric patches transform mechanical energy of the vibrating structure into electrical energy, which is then dissipated into the form of Joule heat to provide electrical damping to the structure by the shunt circuits. Several shunt circuits can be considered: the classical R-and RL-shunts, proposed by Hagood and Von Flotow [3], improvements of those techniques, by the use of several piezoelectric elements [4,5,6], active fiber composites [7] or adaptive shunts [8], and recently semi-passive techniques, commonly known as switch techniques [9,10,11]. Since those techniques are passive (or semi-passive if some electronic components have to be powered), a critical issue is that their performances, in terms of damping efficiency, directly depend on the electromechanical coupling between the host structure and the piezoelectric elements, which has to be maximized.…”
Section: Introductionmentioning
confidence: 99%