Elastic wave propagation in symmetrically periodic sinusoidal waveguide

被引：6

作者：

Banerjee, S ^{[1
]}

Kundu, T ^{[1
]}

机构：

[1] Univ Arizona, Dept Civil Engn & Engn Mech, Tucson, AZ 85721 USA

来源：

HEALTH MONITORING AND SMART NONDESTRUCTIVE EVALUATION OF STRUCTURAL AND BIOLOGICAL SYSTEM III | 2004年 / 5394卷

关键词：

sinusoidal waveguide; dispersion relation; mode conversion; stop-band; pass-band; wave-number;

D O I：

10.1117/12.540009

中图分类号：

R318 [生物医学工程];

学科分类号：

0831 ;

摘要：

Wave propagation in structures with irregular boundaries is studied by transforming the plates with irregular surfaces to sinusoidal wave-guides. Guided elastic wave in a two-dimensional periodically corrugated plate is studied analytically. The plate material is considered as homogeneous, isotropic and linearly elastic. In a periodically corrugated wave-guide all possible spectral order of wave numbers are considered. The dispersion equation is obtained by applying the traction free boundary conditions. The analysis is carried out in the wave-number domain for symmetric modes. Non-propagating 'stop bands' and propagating 'pass bands' are investigated.

引用

页码：89 / 98

页数：10

共 9 条

[1] SCATTERING OF PLANE ELASTIC WAVES AT ROUGH SURFACES .1. [J].

ABUBAKAR, I .

PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1962, 58 (JAN) :136-&

[2]

[Anonymous], 1976, WAVE PROPAGATION ELA

[3] PASSBANDS AND STOPBANDS FOR AN ELECTROMAGNETIC WAVEGUIDE WITH A PERIODICALLY VARYING CROSS-SECTION [J].

BOSTROM, A .

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1983, 31 (09) :752-756

[4] STOPBANDS AND PASSBANDS FOR SYMMETRICAL RAYLEIGH-LAMB MODES IN A PLATE WITH CORRUGATED SURFACES [J].

ELBAHRAWY, A .

JOURNAL OF SOUND AND VIBRATION, 1994, 170 (02) :145-160

[5] REFLECTION AND TRANSMISSION OF ELASTIC-WAVES BY THE SPATIALLY PERIODIC INTERFACE BETWEEN 2 SOLIDS (THEORY OF THE INTEGRAL-EQUATION METHOD) [J].

FOKKEMA, JT .

WAVE MOTION, 1980, 2 (04) :375-393

[6] SOUND-WAVES IN 2-DIMENSIONAL DUCTS WITH SINUSOIDAL WALLS [J].

NAYFEH, AH .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1974, 56 (03) :768-770

[7] PROPAGATION OF WAVES IN CYLINDRICAL HARD-WALLED DUCTS WITH GENERALLY WEAK UNDULATIONS [J].

NAYFEH, AH ;

KANDIL, OA .

AIAA JOURNAL, 1978, 16 (10) :1041-1045

[8]

STANDSTROM SE, 1986, J ACOUST SOC AM, V79, P1293

[9] SCATTERING BY PERIODIC SURFACES [J].

WATERMAN, PC .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1975, 57 (04) :791-802

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