Generalized plane wave expansion method for non-reciprocal discretely modulated waveguides

Riva, Emanuele; Marconi, Jacopo; Cazzulani, Gabriele; Braghin, Francesco

doi:10.1016/j.jsv.2019.03.001

Cited by 39 publications

(26 citation statements)

References 29 publications

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“…The wave propagation properties associated to the unit cell are investigated exploiting the PWEM presented in ref. 10 applied to a Timoshenko beam model and compared to the experimental results, as shown in Fig. 3.…”

Section: Resultsmentioning

confidence: 99%

“…In this context, the PWEM is also suitable for the analysis of 2D space-time varying membranes 9 and discretely modulated materials. 10,11 An alternative way to compute the band structure of space-time materials is offered by Finite Element Method (FEM) based procedures 12 which, on one side is a more versatile approach and can be applied to a multitude of modulated materials. On the other hand, it provides less physical insight in the wave propagation behavior.…”

Section: Introductionmentioning

confidence: 99%

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Design and experimental analysis of nonreciprocal wave propagation in a space-time modulated beam

Riva

Quadrelli

Marconi

et al. 2020

Active and Passive Smart Structures and Integrated Systems IX

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Breaking reciprocity in wave propagation problems is of great interest within the research community, given the opportunity to design new devices for one-way communication with unprecedent performances. In the context of mechanics and phonon transport, directional wave manipulation can be achieved exploiting space-time periodic materials. Namely, structures whose elastic or physical properties are functions of space and time.In this work we experimentally study nonreciprocal wave propagation in a space-time modulated beam based on piezoelectric actuation. The system is made of an aluminum beam with an array of piezoelectric patches bonded on its top and bottom surface. Each patch is attached to a negative capacitance (NC) shunt driven by switching circuit, which is able to provide a square-wave stiffness profile in time to the layered material. Spatiotemporal modulation is induced by phase shifting the temporal modulation law of three consecutive piezo-elements, generating a traveling Young's modulus that mimics the propagation of a wave along the beam dimension. As a result, we achieved 1kHz directional bandgaps, i.e. bandgaps at different frequencies for counter propagating waves, which can be moved in a range spanning 8-11 kHz.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Design and experimental analysis of nonreciprocal wave propagation in a space-time modulated beam

Riva

Quadrelli

Marconi

et al. 2020

Active and Passive Smart Structures and Integrated Systems IX

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“…In this context, 1D phononic waveguides have recently been designed to break the reciprocity principle. One possibility is to locally alter material properties mimicking the propagation of a wave [5][6][7][8][9], which generally requires active elements. A second possibility is to leverage 2D lattice structures with spinning gyroscopes, establishing elastic analogues of the Quantum Hall Effect (QHE) [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Non-reciprocal wave propagation in discretely modulated spatiotemporal plates

Riva

Ronco

Elabd

et al. 2020

Journal of Sound and Vibration

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We investigate non-reciprocal wave propagation in spatiotemporal phononic plates. In particular, the first goal of this manuscript is to present a general formulation of the Plane Wave Expansion Method (PWEM) that, in contrast with previous works, is applicable to any class of 2D spatiotemporal unit cells whose properties can be expanded in traveling plane waves. The second goal is to exploit this analysis tool in order to study a new class of materials capable of violating mirror symmetry in momentum space, therefore breaking reciprocity principle along different wave propagation directions. This is obtained by considering the plate elastic properties to be discretely modulated in space and continuously in time. Theoretical dispersion profiles are validated and compared with numerical simulations.

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“…Dispersion properties showing lack of mirror symmetry in the wavevector space witness the breaking of such principle, implying directional propagation characteristics. The breaking of reciprocity is considered an interesting topic within the research community and is motivated by numerous applications of technological relevance for different realms of physics, such as mechanical [1][2][3][4][5][6], acoustic [7][8][9], and electromagnetic [10] systems. In this context, one dimensional space-time modulations have been successfully conceived to generate filtering bands (or bandgaps ) occurring at different frequencies for counter propagating waves.…”

Section: Introductionmentioning

confidence: 99%

Omindirectional Non-Reciprocity via 2D Modulated Radial Sonic Crystals

Quadrelli¹,

Riva²,

Cazzulani³

et al. 2020

Crystals

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In this paper we report on nonreciprocal wave propagation in a 2D radial sonic crystal with space–time varying properties. We show that a modulation traveling along the radial direction reflects in omni-directional and isotropic nonreciprocal wave propagation between inner and outer shells. The nonreciprocal behavior is verified both analytically and numerically, demonstrating that space–time radial crystals can be employed as one-way emitter or receiver of acoustic or elastic signals.

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Generalized plane wave expansion method for non-reciprocal discretely modulated waveguides

Cited by 39 publications

References 29 publications

Design and experimental analysis of nonreciprocal wave propagation in a space-time modulated beam

Design and experimental analysis of nonreciprocal wave propagation in a space-time modulated beam

Non-reciprocal wave propagation in discretely modulated spatiotemporal plates

Omindirectional Non-Reciprocity via 2D Modulated Radial Sonic Crystals

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