High-frequency dynamics of heterogeneous slender structures

Savin, Éric

doi:10.1016/j.jsv.2012.10.009

Cited by 6 publications

(2 citation statements)

References 155 publications

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“…Similar trends are observed in other fields of physics and engineering, where the decaying part of the signal is analyzed in terms of diffusion equation and used to gather information on the material. This is particularly true for analyses of the propagation of ultrasound in polycrystalline materials [15,16], room acoustics [17,18,19] and high-frequency vibrations of complex structures [20]. Other examples include non-destructive testing of concrete samples [21] and wave propagation in granular materials [22,23,24].…”

Section: Introductionmentioning

confidence: 99%

Influence of the spatial correlation structure of an elastic random medium on its scattering properties

Khazaie

Cottereau

Clouteau

2016

Journal of Sound and Vibration

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International audienceIn the weakly heterogeneous regime of elastic wave propagation through a random medium, transport and diffusion models for the energy densities can be set up. In the isotropic case, the scattering cross sections are explicitly known as a function of the wave number and the correlations of the Lamé parameters and density. In this paper, we discuss the precise influence of the correlation structure on the scattering cross sections, mean free paths and diffusion parameter, and separate that influence from that of the correlation length and variance. We also analyze the convergence rates towards the low-and high-frequency ranges. For all analyses, we consider five different correlation structures, that allow us to explore a wide range of behaviors. We identify that the controlling factors for the low-frequency behavior are the value of the Power Spectral Density Function (PSDF) and its first non-vanishing derivative at the origin. In the high frequency range, the controlling factor is the third moment of the PSDF (which may be unbounded)

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Section: Introductionmentioning

confidence: 99%

Influence of the spatial correlation structure of an elastic random medium on its scattering properties

Khazaie

Cottereau

Clouteau

2016

Journal of Sound and Vibration

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“…The form of the ROM governing equations, the estimation of their parameters, and the selection of the basis functions are reviewed in detail and comparisons are presented of predicted displacements and stresses obtained by the ROM and those obtained from full order, finite element models. The fifth paper, by E. Savin [5] addresses the theoretical modeling and numerical simulation of high-frequency dynamics of structural dynamics systems, including the influence of uncertainties. It concentrates on kinetic models that track power flows and power transfers within different parts of the structure.…”

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confidence: 99%