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

International Journal of Solids and Structures

Volumn 43, Issue 21, 2006, Pages 6551-6567

  Banerjee, Sourav ^a   Kundu, Tribikram ^a  

^a University of Arizona   (United States)

Author keywords

Anti symmetric mode; Cross over; Dispersion relation; Mode conversion; Pass band; Sinusoidal waveguide; Stop band; Symmetric mode

Indexed keywords

BOUNDARY CONDITIONS; DISPERSION (WAVES); ELASTIC WAVES; NATURAL FREQUENCIES; PLATES (STRUCTURAL COMPONENTS); WAVE PROPAGATION;

ANTI-SYMMETRIC MODES; CORRUGATED WAVEGUIDES; DISPERSION EQUATIONS; SINUSOIDAL WAVEGUIDES;

WAVEGUIDES;

EID: 33645378093     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2006.01.005     Document Type: Article

References (21)

1. Abubakar I. Scattering of plane elastic waves at rough surfaces. Proc. Cambridge Philos. Soc. 58 (1962) 136-157
2. Achenbach J.D. Wave Propagation in Elastic Solids (1976), North-Holland Publishing Company, Amsterdam
3. Banerjee, S., Kundu, T., 2004. Analysis of wave propagation in symmetrically periodic sinusoidal wave-guide. In: Kundu, T. (Ed.), Health Monitoring and Smart Nondestructive Evaluation of Structural and Biological Systems. SPIE's 9th Annual International Symposium on NDE for Health Monitoring and Diagnostics, San Diego, California, March 15-17, vol. 5394, pp. 89-98.
4. Boström A. Surface waves on the periodic boundary of an elastic half-space. Appl. Sci. Res. 39 (1982) 129-142
5. Boström A. Acoustic waves in a cylindrical duct with periodically varying cross section. Wave Motion 5 (1983) 59-67
6. Boström A. Passbands and stopbands for an electromagnetic waveguide with a periodically varying cross section. IEEE Trans. Microwave Theory Tech. 31 (1983) 752-756
7. Boström A. Propagating, damped, and leaky surface waves on the corrugated traction-free boundary of an elastic half-space. J. Acoust. Soc. Am. 85 (1989) 1549-1555
8. El-Bahrawy A. Stopbands and passbands for symmetric Rayleigh-Lamb modes in a plate with corrugated surfaces. J. Sound Vib. 170 2 (1994) 145-160
9. El-Bahrawy A. Point force excitation of surface waves along the doubly corrugated traction-free boundary of an elastic half-space. Comm. Div. Mech. 2 (1994)
10. Fokkemma J.H. Reflection and transmission of elastic waves by the spatially periodic interface between two solids (theory of integral-equation method). Wave Motion 2 (1980) 375-393
11. Glass N.E., et al. Propagation of Rayleigh surface waves across a large-amplitude grating. Phys. Rev. B-24 (1981) 6843-6861
12. Glass N.E., and Maradudin A.A. Leaky surface-elastic waves on both flat and strongly corrugated surfaces for isotropic, nondissipative media. J. Appl. Phys. 54 (1983) 796-805
13. Horton C.W. A short table of Struve functions and of some integrals involving Bessel and Struve functions. J. Math. Phys. 29 (1950) 56-58
14. Nayfeh A.H. Sound waves in two-dimensional ducts with sinusoidal walls. J. Acoust. Soc. Am. 56 3 (1974) 768-771
15. Nayfeh A.H., and Kandil O.A. Propagation waves in cylindrical hard-walled ducts with generally weak undulations. AIAA J. 16 (1978) 1041-1045
16. Nico F., et al. Diffraction of homogeneous and inhomogeneous plane waves on a doubly corrugated liquid/solid interface. Ultrasonics 43 8 (2005) 605-618
17. Shen M., and Cou W. Acoustic bandgap formation in a periodic structure with multilayer unit cells. J. Phys. D: Appl. Phys. 33 (2000) 1150-1154
18. Standström S.E. Stopbands in a corrugated parallel plate waveguide. J. Acoust. Soc. Am. 79 (1986) 1293-1298
19. Standström S.E. A comparison of some techniques for corrugated parallel plate wave guides. J. Acoust. Soc. Am. 82 (1987) 1797-1803
20. Waterman P.C. Scattering by periodic surfaces. J. Acoust. Soc. Am. 57 (1975) 791-802
21. Watson G.N. A Treatise on the Theory of Bessel Functions. second ed. (1966), Cambridge University Press, Cambridge, England