Anechoic coatings obtained from two- and three-dimensional monopole resonance diffraction gratings

Sven M. Ivansson

doi:10.1121/1.3689852

journal article Apr 01, 2012

Anechoic coatings obtained from two- and three-dimensional monopole resonance diffraction gratings

Sven M. Ivansson

The Journal of the Acoustical Society of America Vol. 131 No. 4 pp. 2622-2637 · Acoustical Society of America (ASA)

View at Publisher Save 10.1121/1.3689852

Abstract

Underwater sound reflections can be reduced in magnitude by a rubber coating including three-dimensional (3-D) cavities forming a doubly periodic diffraction grating. A monopole resonance for sphere-like cavities enhances absorption in the surrounding rubber solid. A corresponding resonance for an infinite cylinder is studied in the present paper. Appearing at a considerably lower frequency than for a sphere with the same radius, it suggests the possibility of much thinner anechoic coatings including cylindrical cavities, with axes in a lateral direction, forming a diffraction grating with a single period. This is effectively a 2-D case, because of invariance in the axial direction. Subsequent coating design computations, using the layer-multiple-scattering method and including cavities of different sizes, show improved reflection reduction with coatings only about one third as thick. Still accounting for multiple scattering among the cavities and capturing the essential physics, the monopole approximation is applied to advance the analytic study of the reflection reduction. An energy decomposition relation is derived and used to quantify the absorption of the incident sound energy by cavities of different sizes. Coatings based on filled inclusions and other resonance effects are briefly considered. Again, the 2-D alternative with cylinders of mixed sizes gives thinner coatings.

Topics

No keywords indexed for this article. Browse by subject →

References

39

[1]

"One-dimensional model for acoustic absorption in a viscoelastic medium containing short cylindrical cavities" J. Acoust. Soc. Am. (1977) 10.1121/1.381528

[2]

"Giant monopole resonances in the scattering of waves from gas-filled spherical cavities and bubbles" J. Acoust. Soc. Am. (1979) 10.1121/1.382494

[3]

Sound absorption by viscoelastic coatings with periodically distributed cavities

Sven M. Ivansson

The Journal of the Acoustical Society of America 2006 10.1121/1.2190165

[4]

"Pulsation oscillations of cavities in rubber" J. Acoust. Soc. Am. (1958) 10.1121/1.1909475

[5]

"Flexural waves in structured elastic plates: Mindlin versus bi-harmonic models" Proc. R. Soc. London, Ser. A (2011) 10.1098/rspa.2010.0375

[6]

"Selective reflectivity of viscoelastically coated plates in water" J. Acoust. Soc. Am. (1990) 10.1121/1.399741

[7]

"Analysis of the scattering of a plane wave by a doubly periodic structure using the finite element method: Application to Alberich anechoic coatings" J. Acoust. Soc. Am. (1991) 10.1121/1.401395

[8]

"Analysis of reflection characteristics of a normal incidence plane wave on resonant sound absorbers: a finite element approach" J. Acoust. Soc. Am. (1993) 10.1121/1.405416

[9]

"Tri-component phononic crystals for underwater anechoic coatings" Phys. Lett. A (2007) 10.1016/j.physleta.2007.02.048

[10]

"Numerical design of Alberich anechoic coatings with superellipsoidal cavities of mixed sizes" J. Acoust. Soc. Am. (2008) 10.1121/1.2967840

[11]

"Numerical design of Alberich anechoic coatings with superellipsoidal cavities of mixed sizes" J. Acoust. Soc. Am. (2012)

[12]

"Scattering of elastic waves by periodic arrays of spherical bodies" Phys. Rev. B (2000) 10.1103/physrevb.62.278

[13]

"Elastic wave scattering by periodic structures of spherical objects: theory and experiment" Phys. Rev. B (2000) 10.1103/physrevb.62.2446

[14]

"A layer-multiple-scattering method for phononic crystals and heterostructures of such" Comput. Phys. Commun. (2005) 10.1016/j.cpc.2004.11.004

[15]

"Multiple-scattering calculations for layered phononic structures of nonspherical particles" Phys. Rev. B (2011) 10.1103/physrevb.83.214301

[16]

"Band gaps and elastic waves in disordered stacks: Normal incidence" Proc. R. Soc. London, Ser. A (2003) 10.1098/rspa.2002.1041

[17]

"Analysis of the scattering of a plane acoustic wave by a periodic elastic structure using the finite element method: Application to compliant tube gratings" J. Acoust. Soc. Am. (1990) 10.1121/1.399312

[18]

"Multiple-scattering theory for out-of-plane propagation of elastic waves in two-dimensional phononic crystals" J. Phys.: Condens. Matter (2005) 10.1088/0953-8984/17/25/003

[19]

"Designing 2D phononic crystal slabs with transmission gaps for solid angle as well as frequency variation" Adv. Acoust. Vibr. (2009)

[20]

"Acoustic barriers based on periodic arrays of scatterers" Appl. Phys. Lett. (2002) 10.1063/1.1533112

[21]

"Predictions and measurements of sound transmission through a periodic array of elastic shells in air" J. Acoust. Soc. Am. (2010) 10.1121/1.3506342

[22]

"Tunable wideband bandstop acoustic filter based on two-dimensional multiphysical phenomena periodic systems" J. Appl. Phys. (2011) 10.1063/1.3599886

[23]

"Acoustic response of a periodic layer of nearly rigid spherical inclusions in an elastic solid" J. Acoust. Soc. Am. (1999) 10.1121/1.428161

[24]

(2005)

[25]

"Acoustic lens design by genetic algorithms" Phys. Rev. B (2004) 10.1103/physrevb.70.214302

[26]

"Multiobjective evolutionary optimization of periodic layered materials for desired wave dispersion characteristics" Struct. Multidisc. Optim. (2006) 10.1007/s00158-005-0555-8

[27]

"Hole distribution in phononic crystals: Design and optimization" J. Acoust. Soc. Am. (2009) 10.1121/1.3126948

[28]

Locally Resonant Sonic Materials

Zhengyou Liu, Xixiang Zhang, Yiwei Mao et al.

Science 2000 10.1126/science.289.5485.1734

[29]

"Low-frequency acoustic absorption of localized resonances: Experiment and theory" J. Appl. Phys. (2010) 10.1063/1.3284943

[30]

"Effects of locally resonant modes on underwater sound absorption in viscoelastic materials" J. Acoust. Soc. Am. (2011) 10.1121/1.3621074

[31]

Guran "On the systematic use of spherical, cylindrical and plane vector wave functions in elastodynamic scattering problems" (2002) 10.1142/4390

[32]

Nilsson "Extended layer multiple-scattering and global optimization techniques for 2D phononic crystal insulator design" (2008)

[33]

(1983)

[34]

(1974)

[35]

(2012)

[36]

"Two-dimensional phononic crystals and scattering of elastic waves by an array of voids" Proc. R. Soc. London, Ser. A (2002) 10.1098/rspa.2002.0960

[37]

"Analytic model of phononic crystals with local resonances" Phys. Rev. B (2005) 10.1103/physrevb.71.014103

[38]

"Line and plane arrays of monopole scatterers" J. Acoust. Soc. Am. (1990) 10.1121/1.398830

[39]

(1944)

Cited By

76

Sound absorption behaviors of composite functionally graded acoustic structure under hydrostatic pressure

Kangkang Shi, Dongsen Hu · 2023

Applied Acoustics

Sound absorption of periodically cavities with gradient changes of radii and distances between cavities in a soft elastic medium

Shibo Wang, Bo Hu · 2020

Applied Acoustics

From Local Structure to Overall Performance: An Overview on the Design of an Acoustic Coating

Hongbai Bai, Zhiqiang Zhan · 2019

Materials

Metrics

76

Citations

39

References

Details

Published: Apr 01, 2012
Vol/Issue: 131(4)
Pages: 2622-2637

Authors

S

Sven M. Ivansson

Department of Underwater Research, Swedish Defence Research Agency, SE-164 90 Stockholm, Sweden

Cite This Article

Sven M. Ivansson (2012). Anechoic coatings obtained from two- and three-dimensional monopole resonance diffraction gratings. The Journal of the Acoustical Society of America, 131(4), 2622-2637. https://doi.org/10.1121/1.3689852

Anechoic coatings obtained from two- and three-dimensional monopole resonance diffraction gratings

You May Also Like