Circuit analog of a beam and its application to multimodal vibration damping, using piezoelectric transducers

Porfiri, Maurizio; Dell’Isola, Francesco; Mascioli, Fabio Massimo Frattale

doi:10.1002/cta.273

Cited by 79 publications

(66 citation statements)

References 28 publications

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“…Yet, when considering a high number of mechanical modes, this solution leads to a network with an impractical number of electrical components. A suitable passive electrical architecture including transformers was given by Porfiri et al [21,22]. As it was shown that a multimodal control can be achieved with a network approximating the beam modal properties, the electrical topology is obtained from an electromechanical analogy [23,24,25].…”

Section: Introductionmentioning

confidence: 99%

Multimodal vibration damping of a beam with a periodic array of piezoelectric patches connected to a passive electrical network

Lossouarn

Deü

Aucejo

2015

Smart Mater. Struct.

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Abstract. A multimodal damping strategy is implemented by coupling a beam to its analogue electrical network. This network comes from the direct electromechanical analogy applied to a transverse lattice of point masses that represents the discrete model of a beam. The mechanical and electrical structures are connected together through an array of piezoelectric patches. A discrete and a semi-continuous model are proposed to describe the piezoelectric coupling. Both are based on the transfer matrix formulation and consider a finite number of patches. It is shown that a simple coupling condition gives a network that approximates the modal properties of the beam. A multimodal tuned mass effect is then obtained and a wide-band damping is introduced by choosing a suitable positioning for resistors in the network. The strategy and the models are experimentally validated by coupling a free-free beam to a completely passive network. A multimodal vibration reduction is observed, which proves the efficiency of the control solution and its potential in term of practical implementation.

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Section: Introductionmentioning

confidence: 99%

Multimodal vibration damping of a beam with a periodic array of piezoelectric patches connected to a passive electrical network

Lossouarn

Deü

Aucejo

2015

Smart Mater. Struct.

View full text Add to dashboard Cite

show abstract

“…(50) (50), restoring the symmetry of the second covariant derivative. He proved this property for a Timoshenko rod, using the SO(3) group for the rotations.…”

Section: Second Covariant Gradient: the Hessianmentioning

confidence: 99%

“…Among the many new interesting problems of mechanical engineering that can be effectively modeled in this way, we recall the simulation of living tissues, like cilia, of wind-induced loads on eolic turbines, the analysis of micro piezoelectric actuators, etc. [1,4,14,16,17,19,29,45,49,50,62].…”

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confidence: 99%

Consistent tangent operator for an exact Kirchhoff rod model

Greco

2014

Continuum Mech. Thermodyn.

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“…In the present contribution, we focus on a new electrical topology that reduces the number of required components. The proposed electrical network is obtained by extending a procedure previously applied to rods and beams [6,7,8,9]. It consists of a finite difference formulation of the equations describing the mechanical medium, followed by a direct electromechanical analogy.…”

Section: Introductionmentioning

confidence: 99%

Multimodal Damping of a Plate with a Passive Piezoelectric Network

Lossouarn

Aucejo

Deü

et al. 2016

Special Topics in Structural Dynamics, Volume 6

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Multimodal vibration reduction can be obtained by coupling a mechanical structure to an electrical network approximating its modal properties. This strategy is applied to the control of a clamped plate with a 2D network of passive electrical components. The plate and the network are coupled through a periodic array of piezoelectric patches that enables the energy conversion. The network is experimentally implemented with inductors and transformers in order to create electrical resonances that present a spatial distribution approaching the first mode shapes of the plate. By tuning electrical resonances to mechanical ones, it becomes possible to introduce the equivalent of a tuned mass effect. This effect only occurs if the electrical and mechanical mode shapes are sufficiently close, which requires specific network topology and boundary conditions. Once the network is tuned, adding resistors introduces damping that can lead to a broadband vibration reduction of the plate. It is thus shown that a 2D control can be implemented with a purely passive solution, which could be of great interest for many embedded applications.

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Circuit analog of a beam and its application to multimodal vibration damping, using piezoelectric transducers

Cited by 79 publications

References 28 publications

Multimodal vibration damping of a beam with a periodic array of piezoelectric patches connected to a passive electrical network

Multimodal vibration damping of a beam with a periodic array of piezoelectric patches connected to a passive electrical network

Consistent tangent operator for an exact Kirchhoff rod model

Multimodal Damping of a Plate with a Passive Piezoelectric Network

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