Stopbands in a corrugated parallel plate waveguide

Sandström, Sven-Erik

doi:10.1121/1.393708

Cited by 26 publications

(9 citation statements)

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“…In Table 2 all possible pass band frequencies for fundamental and first two higher-order symmetric and anti-symmetric modes are shown. Detail definitions of 'cut-off', 'cut-on', 'crossover' and 'branch-point' are available in the literature (see Nayfeh and Kandil, 1978;Boströ m, 1989;Standströ m, 1986;Glass et al, 1981;Glass and Maradudin, 1983;El-Bahrawy, 1994a,b) and are not repeated here.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…have been considered. The analytical solution of wave propagation in structures with non-planar boundaries and interfaces has been the topic of investigation in the last three decades (Abubakar, 1962;Nayfeh, 1974;Nayfeh and Kandil, 1978;Boströ m, 1983aBoströ m, ,b, 1989Standströ m, 1986;Fokkemma, 1980;Glass and Maradudin, 1983;El-Bahrawy, 1994a,b;Banerjee and Kundu, 2004;Nico et al, 2005). Recently non-destructive evaluation of different aerospace structures, components of integrated smart structures with non-planar boundaries and civil structural components (rebars, pipelines, etc.)…”

Section: Introductionmentioning

confidence: 98%

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Symmetric and anti-symmetric Rayleigh–Lamb modes in sinusoidally corrugated waveguides: An analytical approach

Banerjee

Kundu

2006

International Journal of Solids and Structures

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The wave propagation analysis in corrugated waveguides is considered in this paper. Elastic wave propagation in a twodimensional periodically corrugated plate is studied here analytically. The dispersion equation is obtained by applying the traction free boundary conditions. Solution of the dispersion equation gives both symmetric and anti-symmetric modes. In a periodically corrugated waveguide all possible spectral order of wave numbers are considered for the analytical solution. It has been observed that the truncation of the spectral order influences the results. Truncation number depends on the degree of corrugation and the frequency of the wave. Usually increasing frequency requires increasing number of terms in the series solution, or in other words, a higher truncation number. For different degrees of corrugation the Rayleigh-Lamb symmetric and anti-symmetric modes are investigated for their non-propagating 'stop bands' and propagating 'pass bands'. To generate the dispersion equation for corrugated plates with a wide range of the degree of corrugation, appropriate truncation of the spectral orders has to be considered. Analytical results are given for three different degrees of corrugation in three plates. Resonance of symmetric and anti-symmetric modes in these plates, their 'cut-off', 'cut-on', 'branch-point', 'change-place', 'mode conversion' and 'pinch points' at various frequencies are also studied.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Symmetric and anti-symmetric Rayleigh–Lamb modes in sinusoidally corrugated waveguides: An analytical approach

Banerjee

Kundu

2006

International Journal of Solids and Structures

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“…특히 경계가 주기적으로 변하는 주름관 (Corrugated Duct)을 지나는 파동에 대해서 많은 연구가 이루어 졌다 [2][3][4][5][6][7][8][9][10][11][12] . 주름의 크기가 덕트 단면 크기에 비해 충분 히 작은 경우 섭동법 (Perturbation Method)을 이용한 연 구가 수행되었다 [2][3][4][5] .…”

Section: 서 론 격자형 형상이나 물성치가 주기적으로 변하는 구 조물내를 지나는 파동은 공학적으로 많은 응용분야unclassified

An Analysis of the Sound Stopband in Periodically Corrugated 2-D Ducts

Kim¹,

Kim²,

Kim³

et al. 2012

The Journal of the Acoustical Society of Korea

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ABSTRACT:In this paper, the occurrence of a stopband phenomenon when an acoustic wave propagates through periodically corrugated ducts is discussed using theoretical and BEM analyses. A 2-D duct with sinusoidally corrugated upper and lower walls is considered. When the magnitude of the sinusoidal corrugation is sufficiently small compared to the duct's height, the wave equation is solved with the multiple scaling perturbation method. Then stopbands for Bragg and non-Bragg resonances are computed from the condition where frequency becomes a complex number. A 2-D BEM analysis is performed to compute insertion loss of the duct, and stopbands are confirmed as predicted by analytical analysis.

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“…The problem of wave propagation in structures made of homogeneous materials, but having nonplanar boundaries and interfaces, has been the topic of investigation in the last three decades ͑Nayfeh et al, 1978;Boström, 1983Boström, , 1989Sandström, 1986;Fokkema, 1980;Glass et al, 1983;ElBahrawy, 1994aElBahrawy, , 1994bBanerjee and Kundu, 2004;Declercq et al, 2005͒. Stop bands and pass bands of the Rayleigh-Lamb symmetric modes in sinusoidally corrugated waveguides have been studied by El-Bahrawy ͑1994a͒.…”

Section: Introductionmentioning

confidence: 99%

An experimental investigation of guided wave propagation in corrugated plates showing stop bands and pass bands

Kundu

Banerjee

Jata

2006

The Journal of the Acoustical Society of America

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Nonplanar surfaces are often encountered in engineering structures. In aerospace structures, periodically corrugated boundaries are formed by friction-stir-welding. In civil engineering structures, rebars used in reinforced concrete beams and slabs have periodic surface. Periodic structures are also being used to create desired acoustic band gaps. For health monitoring of these structures, a good understanding of the elastic wave propagation through such periodic structures is necessary. Although a number of research papers on the wave propagation in periodic structures are available in the literature, no one experimentally investigated the guided wave propagation through plates with periodic boundaries and compared the experimental results with theoretical predictions as done in this paper. The experimental results clearly show that elastic waves can propagate through the corrugated plate ͑waveguide͒ for certain frequencies called "pass bands," and find it difficult to propagate for some other frequencies called "stop bands." Stop bands are found to increase with the degree of corrugation. Experimental results are compared with the theoretical predictions, and good matching is observed for plates with small degree of corrugation. Only two parameters-the depth of corrugation and the wavelength of the periodicity-are sufficient for modeling the elastic wave propagation in slightly corrugated plates.

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Stopbands in a corrugated parallel plate waveguide

Cited by 26 publications

References 0 publications

Symmetric and anti-symmetric Rayleigh–Lamb modes in sinusoidally corrugated waveguides: An analytical approach

Symmetric and anti-symmetric Rayleigh–Lamb modes in sinusoidally corrugated waveguides: An analytical approach

An Analysis of the Sound Stopband in Periodically Corrugated 2-D Ducts

An experimental investigation of guided wave propagation in corrugated plates showing stop bands and pass bands

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