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Related papers: Flexural wave illusion on a curved plate

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Motivated by recent advances in the inverse design of electromagnetic materials, we develop two methods for manipulating flexural waves on thin elastic plates. Firstly, we derive a technique for determining plate pinning or mass-loading of…

Applied Physics · Physics 2023-10-06 James R Capers

Metamaterials with the transformation method has greatly promoted the development in achieving invisibility and illusion for various classical waves. However, the requirement of tailor-made bulk materials and extreme constitutive parameters…

Classical Physics · Physics 2017-07-26 Yongquan Liu , Zixian Liang , Fu Liu , Owen Diba , Alistair Lamb , Jensen Li

Coordinate-transformation-inspired optical devices have been mostly examined in the continuous-wave regime: the performance of an invisibility cloak, which has been demonstrated for monochromatic excitation, %would inevitably is likely to…

Classical Physics · Physics 2021-02-05 Kun Tang , Chenni Xu , Sebastien Guenneau , Patrick Sebbah

As 2D materials with subwavelength structures, elastic metasurfaces show remarkable abilities to manipulate elastic waves at will through artificial boundary conditions. However, the application prospects of current metasurfaces may be…

Applied Physics · Physics 2021-04-07 Guangyuan Su , Yunhao Zhang , Yongquan Liu , Tiejun Wang

The governing equation for elastic waves in flexural plates is not form invariant, and hence designing a cloak for such waves faces a major challenge. Here, we present the design of a perfect broadband cloak for flexural waves through the…

Classical Physics · Physics 2017-06-28 Ahmad Zareei , Mohammad-Reza Alam

It is known that design of elastic cloaks is much more challenging than the design idea for acoustic cloaks, cloaks of electromagnetic waves or scalar problems of anti-plane shear. In this paper, we address fully the fourth-order problem…

Classical Physics · Physics 2015-06-19 M. Brun , D. J. Colquitt , I. S. Jones , A. B. Movchan , N. V. Movchan

The paper addresses an important issue of cloaking transformations for fourth-order partial differential equations representing flexural waves in thin elastic plates. It is shown that, in contrast with the Helmholtz equation, the general…

Classical Physics · Physics 2015-12-22 D. J. Colquitt , M. Brun , M. Gei , A. B. Movchan , N. V. Movchan , I. S. Jones

We combine theories of scattering for linearized water waves and flexural waves in thin plates to characterize and achieve control of water wave scattering using floating plates. This requires manipulating a sixth-order partial differential…

Classical Physics · Physics 2020-04-06 Mohamed Farhat , Pai-Yen Chen , Hakan Bagci , Khaled Salama , Sebastien Guenneau

Wave turbulence in a thin elastic plate is experimentally investigated. By using a Fourier transform profilometry technique, the deformation field of the plate surface is measured simultaneously in time and space. This enables us to compute…

Chaotic Dynamics · Physics 2009-10-29 Pablo Cobelli , Philippe Petitjeans , Agnes Maurel , Vincent Pagneux , Nicolas Mordant

We consider the effect of an array of plates or beams over a semi-infinite elastic ground on the propagation of elastic waves hitting the interface. The plates/beams are slender bodies with flexural resonances at low frequencies able to…

Classical Physics · Physics 2020-07-15 Jean-Jacques Marigo , Kim Pham , Agnès Maurel , Sébastien Guenneau

This article explores how a submerged elastic plate, clamped at one edge, interacts with water waves. Submerged elastic plates have been considered as potentially effective design elements in the development of wave energy harvesters but…

Fluid Dynamics · Physics 2025-04-08 Gatien Polly , Alexis Mérigaud , Benjamin Thiria , Ramiro Godoy-Diana

We experimentally study linear and nonlinear waves on the surface of a fluid covered by an elastic sheet where both tension and flexural waves take place. An optical method is used to obtain the full space-time wave field, and the…

Fluid Dynamics · Physics 2014-02-10 Luc Deike , Jean-Claude Bacri , Eric Falcon

The nonlinear interaction of waves in a driven medium may lead to wave turbulence, a state such that energy is transferred from large to small lengthscales. Here, wave turbulence is observed in experiments on a vibrating plate. The…

Chaotic Dynamics · Physics 2008-10-07 Arezki Boudaoud , Olivier Cadot , Benoît Odille , Cyril Touzé

Propagation of elastic waves along the axis of cylindrical shells is of great current interest due to their ubiquitous presence and technological importance. Geometric imperfections and spatial variations of properties are inevitable in…

Classical Physics · Physics 2022-11-07 Kevin Jose , Neil Ferguson , Atul Bhaskar

The paper presents new results on localisation and transmission of flexural waves in a structured plate containing a semi-infinite two-dimensional array of rigid pins. In particular, surface waves are identified and studied at the interface…

An thin elastic steel plate is excited with a vibrator and its local velocity displays a turbulent-like Fourier spectrum. This system is believed to develop elastic wave turbulence. We analyze here the motion of the plate with a two-point…

Classical Physics · Physics 2009-11-13 Nicolas Mordant

We present a three-dimensional model describing the propagation of elastic waves in a soil substrate supporting an array of cylindrical beams experiencing flexural and compressional resonances. The resulting surface waves are of two types.…

Computational Physics · Physics 2020-01-20 Jean-Jacques Marigo , Kim Pham , Agnès Maurel , Sébastien Guenneau

We report numerical investigations of wave turbulence in a vibrating plate. The possibility to implement advanced measurement techniques and long time numerical simulations makes this system extremely valuable for wave turbulence studies.…

Soft Condensed Matter · Physics 2017-10-25 Nicolas Mordant , Benjamin Miquel

We examine the applicability of the weak wave turbulence theory in explaining experimental scaling results obtained for the diffusion and relative diffusion of particles moving on turbulent surface waves. For capillary waves our theoretical…

Chaotic Dynamics · Physics 2007-09-23 Victor M. Eguiluz , Mogens T. Levinsen , Preben Alstrom

We investigate wave propagation in curved, thin elastic waveguides, where curvature is shown to be equivalent to a spatially modulated refractive index. We establish this relationship within a theoretical framework that leverages…

Applied Physics · Physics 2022-03-17 Matteo Mazzotti , Mohit Gupta , Christian Santangelo , Massimo Ruzzene
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