Transmission of sh waves through a periodic array of elastic cylinders

V. V. Varadan; Akhlesh Lakhtakia; V. K. Varadan

doi:10.1115/1.3269393

Transmission of sh waves through a periodic array of elastic cylinders

V. V. Varadan, Akhlesh Lakhtakia, V. K. Varadan

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3 Scopus citations

Abstract

The reflection and transmission characteristics of a grating of identical, circular elastic cylinders, arranged periodically in an elastic slab, are investigated. Use is made of a simple approach synthesized from Fourier-Bessel expansions and the Tmatrix method for the analysis of a two-dimensional problem involving SH waves only. It is observed that the nonspecular modes are generally very weak for such gratings in contrast with those for gratings made of periodic bimaterial interfaces. The presented analysis may be easily extened to the case of diffraction of incident P-and/or SV-waves, and should be useful for noise control applications.

Original language	English (US)
Pages (from-to)	43-47
Number of pages	5
Journal	Journal of Vibration and Acoustics, Transactions of the ASME
Volume	109
Issue number	1
DOIs	https://doi.org/10.1115/1.3269393
State	Published - Jan 1 1987

All Science Journal Classification (ASJC) codes

Mechanics of Materials
Acoustics and Ultrasonics
Mechanical Engineering

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AU - Lakhtakia, Akhlesh

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N2 - The reflection and transmission characteristics of a grating of identical, circular elastic cylinders, arranged periodically in an elastic slab, are investigated. Use is made of a simple approach synthesized from Fourier-Bessel expansions and the Tmatrix method for the analysis of a two-dimensional problem involving SH waves only. It is observed that the nonspecular modes are generally very weak for such gratings in contrast with those for gratings made of periodic bimaterial interfaces. The presented analysis may be easily extened to the case of diffraction of incident P-and/or SV-waves, and should be useful for noise control applications.

AB - The reflection and transmission characteristics of a grating of identical, circular elastic cylinders, arranged periodically in an elastic slab, are investigated. Use is made of a simple approach synthesized from Fourier-Bessel expansions and the Tmatrix method for the analysis of a two-dimensional problem involving SH waves only. It is observed that the nonspecular modes are generally very weak for such gratings in contrast with those for gratings made of periodic bimaterial interfaces. The presented analysis may be easily extened to the case of diffraction of incident P-and/or SV-waves, and should be useful for noise control applications.

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Transmission of sh waves through a periodic array of elastic cylinders

Abstract

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