Wave scattering by an infinite cascade of non-overlapping blades

Maierhofer, Georg; Peake, N.

doi:10.1016/j.jsv.2020.115418

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Cited by 7 publications

(2 citation statements)

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“…0 < d * < 2b * . The case of non-overlapping blades could be treated in a similar fashion to Maierhofer & Peake (2020). The zero-stagger arrangement can be recovered as a degenerate case of our results.…”

Section: Mathematical Formulationmentioning

confidence: 66%

Acoustic scattering by cascades with complex boundary conditions: compliance, porosity and impedance

Baddoo

Ayton

2020

J. Fluid Mech.

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Section: Mathematical Formulationmentioning

confidence: 66%

Acoustic scattering by cascades with complex boundary conditions: compliance, porosity and impedance

Baddoo

Ayton

2020

J. Fluid Mech.

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“…Further perspectives involve effects of flows through the perforated metamaterial plates and wave scattering in cascades of blades, cf. [37], or porous layered (sandwich) structures [38,39] introducing naturally the attenuation.…”

Section: Discussionmentioning

confidence: 99%

Homogenization of the vibro–acoustic transmission on perforated plates

Rohan

Lukeš

2019

Applied Mathematics and Computation

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The paper deals with modelling of acoustic waves which propagate in inviscid fluids interacting with perforated elastic plates. The plate can be replaced by an interface on which transmission conditions are derived by homogenization of a problem describing vibroacoustic fluid-structure interactions in a transmission layer in which the plate is embedded. The Reissner-Mindlin theory of plates is adopted for periodic perforations designed by arbitrary cylindrical holes with axes orthogonal to the plate midplane. The homogenized model of the vibroacoustic transmission is obtained using the two-scale asymptotic analysis with respect to the layer thickness which is proportional to the plate thickness and to the perforation period. The nonlocal, implicit transmission conditions involve a jump in the acoustic potential and its normal one-side derivatives across the interface which represents the plate with a given thickness. The homogenized model was implemented using the finite element method and validated using direct numerical simulations of the non-homogenized problem. Numerical illustrations of the vibroacoustic transmission are presented.

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Scattering by Cascades of Aerofoils with Complex Boundary Conditions

Baddoo

2020

Springer Theses

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Wave scattering by an infinite cascade of non-overlapping blades

Cited by 7 publications

References 21 publications

Acoustic scattering by cascades with complex boundary conditions: compliance, porosity and impedance

Acoustic scattering by cascades with complex boundary conditions: compliance, porosity and impedance

Homogenization of the vibro–acoustic transmission on perforated plates

Scattering by Cascades of Aerofoils with Complex Boundary Conditions

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