Wave Propagation Control in Beams Through Periodic Multi-Branch Shunts

Airoldi, L.; Ruzzene, Massimo

doi:10.1177/1045389x11408372

Cited by 81 publications

(84 citation statements)

References 28 publications

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“…The previous system of equations (9) corresponds to the transfer matrix formulation described in (1). The displacement state vector is q = [W θ ]…”

Section: Mechanical Analysis Of a Beammentioning

confidence: 99%

“…Consequently, it does not apply to the control of the first modes of the considered periodic structures. Moreover, an identical tuning of resonant shunts leads to a control only around a single frequency and still, high values of inductance are often required, which forces the use of non-passive synthetic inductors [8,9,10]. It is yet possible to reduce the required inductance by implementing a real electrical network connecting successive patches together.…”

Section: Introductionmentioning

confidence: 99%

“…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. Structural discontinuities induces band gaps that can eventually be combined to the ones introduced by the piezoelectric shunts [6,7,9,10,11,13].…”

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].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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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“…The previous system of equations (9) corresponds to the transfer matrix formulation described in (1). The displacement state vector is q = [W θ ]…”

Section: Mechanical Analysis Of a Beammentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

“…Contrary to multi-branch shunts connected to individual piezoelectric transducers (Hollkamp 1994;Wu 1998;Airoldi and Ruzzene 2011), the proposed network consists of inductors that interconnect an array of piezoelectric elements. This allows the synthesis of 2D electrical modes that match the mechanical modes, both in the spatial and frequency domains, in order to counterbalance the mechanical vibrations.…”

Section: Introductionmentioning

confidence: 99%

Design of a passive electrical analogue for piezoelectric damping of a plate

Lossouarn

Aucejo

Deü

et al. 2017

Journal of Intelligent Material Systems and Structures

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Vibrations of a mechanical structure can be reduced through a piezoelectric coupling to a passive electrical network exhibiting similar modal properties. For the control of a plate, the design of a two-dimensional analogous electrical network is considered. Depending on the mechanical boundary conditions, a finite difference formulation of the Kirchhoff-Love equation of motion shows that we need to ensure specific electrical connections along the edges of the analogous network. A numerical model involving an assembly of element matrices validates the electrical topology. Then, the passive electrical circuit is implemented with capacitors, inductors and transformers, whose practical design is closely described. Focusing on the analogue of a clamped plate, experiments prove the ability of the proposed electrical network to approximate the behavior of the mechanical structure.

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Wave Manipulation in Intelligent Metamaterials: Recent Progress and Prospects

Wu,

Jiang,

Jiang

et al. 2024

Adv Funct Materials

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Metamaterials (MMs), which include phononic crystals (PCs) as a particular type, exhibit anomalous wave propagation properties through artificial design of topologies or lattice forms of unit‐cells. Recent advancements in MMs signify an ascendant research trend, providing promising design ideas and means for unprecedented wave propagation properties. The imperative for on‐demand, real‐time active control of wave propagation underscores the significance of tunable manipulation of acoustic/elastic waves, promoting the design and development of tunable MMs. Furthermore, the versatility of intelligent materials and their ongoing development and innovation contribute significantly to the emergence of diverse intelligent MMs. This comprehensive survey provides an overview of recent advancements and current research trends in the interdisciplinary field of intelligent MMs with electro‐/magneto‐mechanical couplings. The primary objective of the review is to emphasize significant progress in agile manipulation of acoustic/elastic waves in electro‐/magneto‐mechanical coupled MMs, followed by an in‐depth exploration of intelligent metasurfaces, topological MMs, non‐Hermitian parity‐time symmetric wave systems, odd elastic MMs, and spatiotemporally modulated MMs. Special emphasis is given to multi‐field coupling effects. The review concludes with a summary and outlines potential prospects, offering a timely and informative guide for future studies on actively tunable PCs and MMs in practical engineering applications.

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Wave Propagation Control in Beams Through Periodic Multi-Branch Shunts

Cited by 81 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

Design of a passive electrical analogue for piezoelectric damping of a plate

Wave Manipulation in Intelligent Metamaterials: Recent Progress and Prospects

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