Modeling and design of passive electric networks interconnecting piezoelectric transducers for distributed vibration control

Summary In the present paper, a constitutive model for the description of the dissipation in the concrete is provided. The theoretical description is based on a micromorphic model in which the microstructure is constituted by a kinematical scalar descriptor φ whose time derivative is linked to a dissipative potential. The scalar φ can be interpreted as the relative displacement between two opposite faces of the microcracks, and our physical interpretation of dissipation is indeed linked to the friction force (in a mixed Coulomb‐type and viscous‐type behavior) between them. To evaluate the effects of bending on the dissipation, the 3D model is then reduced by means of standard Saint‐Venant's procedure in case of combined compression and bending over a cylindrical domain. A qualitative analysis of the reduced ODEs model is then provided. Numerical results showing comparison between different types of dissipative force and between pure compression and combined compression and bending are included in a dedicated section. Finally, the proposed model and our physical interpretation of the dissipation are supported by some experimental data concerning standard concrete and a concrete enriched by adding to the mixture a filler constituted by micro‐particles capable of improving the dissipative behavior of the material. Measured data show very good fit with our theoretical previsions and provide a sufficiently sound basis for further deepening of the theoretical description of the considered phenomena. Copyright © 2015 John Wiley & Sons, Ltd.

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“…[90][91][92] and references therein) or in the design of smart materials and structures (see e.g. [93][94][95] and references therein).…”

Section: Resultsmentioning

confidence: 99%

A micro-structural model for dissipation phenomena in the concrete

Scerrato¹,

Giorgio

Corte

et al. 2015

Int. J. Numer. Anal. Meth. Geomech.

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“…We have chosen to use the dynamic displacements, even if their computation is not immediate and requires intermediate calculations, because they are significant values in dynamics problems. Furthermore, let's also point out that vibrations control can be achieved by the use of semi-passive (Guyomar et al [26]) or passive (Irschik et al [27], Porfiri et al [28,29], Shen et al [30]) solutions and that our method relates to active solutions. Therefore, in addition to vibration control, it can be used for the generation of vibrations (e.g.…”

Section: Introductionmentioning

confidence: 97%

Sizing optimization of piezoelectric smart structures with meta-modeling techniques for dynamic applications

Pommier-Budinger

Budinger

2014

JAE

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This article shows an efficient method with a high industrial applicability to design piezoelectric smart structures for dynamic applications. This method allows sizing structures with requirements of dynamic displacements. The first step of this method consists in extracting dynamic reduced models from Finite Element simulations which will enable us to obtain a model for any structure, whatever its complexity, as opposed to analytical modeling methods. These models are computed for a set of design parameters. Then a meta-model, which is a simplified descriptive model of other models, is computed as a surface response model that expresses the design objectives and constraints as a function of the design variables. The combination of the results stemming from the meta-model allows working out the optimal values of the design parameters. The main advantage of the proposed method is to enable the quick design exploration of structures. As an example, the method is applied to a flexible structure whose dynamic displacements need to be controlled in bending and twisting. The theoretical results are validated in the end by experiments.

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“…In order to avoid dynamic instability, the use of piezoelectric actuators can be effective: some applications to beams and plates are shown in [15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%