Generation of transversal envelope soliton in polymeric and wooden rods

Billy, M. de; Hladky‐Hennion, Anne‐Christine

doi:10.1016/j.ultras.2014.01.016

Cited by 6 publications

(2 citation statements)

References 42 publications

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“…In the field of acoustics, numerous works have shown the existence of solitary waves in uniform or inhomogeneous rods [12,31,3], periodic chains of elastics beads [33,2,11,13,44], periodic structures such as lattices or crystals [9,23,26], elastic layers [32,41,42], layered structures coated by film of soft material [30] and microstructured solids [18]. As we can see, most studies concern elastic waves in solids.…”

Section: Introductionmentioning

confidence: 99%

Generation of acoustic solitary waves in a lattice of Helmholtz resonators

2015

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International audienceThis paper addresses the propagation of high amplitude acoustic pulses through a 1D lattice of Helmholtz resonators connected to a waveguide. Based on the model proposed by Sugimoto (J. Fluid. Mech., 244 (1992), 55-78), a new numerical method is developed to take into account both the nonlinear wave propagation and the different mechanisms of dissipation: the volume attenuation, the linear visco-thermic losses at the walls, and the nonlinear absorption due to the acoustic jet formation in the resonator necks. Good agreement between numerical and experimental results is obtained, highlighting the crucial role of the nonlinear losses. Different kinds of solitary waves are observed experimentally with characteristics depending on the dispersion properties of the lattice

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Section: Introductionmentioning

confidence: 99%

Generation of acoustic solitary waves in a lattice of Helmholtz resonators

2015

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“…For elastic waves, numerous works have highlighted the existence of solitary waves in microstructured solids [12], periodic structures such as lattices or crystals [6,17,18], elastic layers [23,31,33], layered structures coated by film of soft material [22], periodic chains of elastics beads [1,8,35] and uniform or inhomogeneous rods [7,21,2].…”

Section: Introductionmentioning

confidence: 99%

A two-way model for nonlinear acoustic waves in a non-uniform lattice of Helmholtz resonators

Mercier

Lombard

2017

Wave Motion

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Propagation of high amplitude acoustic pulses is studied in a 1D waveguide connected to a lattice of Helmholtz resonators. An homogenized model has been proposed by Sugimoto (J. Fluid. Mech., 244 (1992)), taking into account both the nonlinear wave propagation and various mechanisms of dissipation. This model is extended here to take into account two important features: resonators of different strengths and back-scattering effects. An energy balance is obtained, and a numerical method is developed. A closer agreement is reached between numerical and experimental results. Numerical experiments are also proposed to highlight the effect of defects and of disorder.

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