An approximate theory for waves in a slender elastic wedge immersed in liquid

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 456, Issue 2001, 2000, Pages 2179-2196

  Shanin, Andrey V ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Thin plate flexural vibrations; Wedge waves; Wiener hopf technique

Indexed keywords

EID: 33746450356     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.2000.0608     Document Type: Article

References (17)

1. Hladky-Hennion, A.-C., Langlet, P. & de Billy, M. 1997 Finite element analysis of the propagation of acoustic waves along waveguides immersed in water. J. Sound Vib. 200, 519-530.
2. Krylov, V. V. 1989 On the possibility of application of geometrical acoustics to the problem of wave propagation in thin elastic wedge. Sov. Phys. Acoust. 35, 294-301.
3. Krylov, V. V. 1994 Propagation of wedge acoustic waves along wedges imbedded in water. Proc. IEEE Ulrasonic Symp., Cannes, France, pp. 793-796.
4. Krylov, V. V. 1998 On the velocities of localized vibration modes in immersed solid wedges. J. Acoust. Soc. Am. 103, 767-770.
5. Lagasse, P. E. 1973 Higher-order finite element analysis of topographic guides supporting elastic surface waves. J. Acoust. Soc. Am. 53, 1116-1122.
6. McKenna, J., Boyd, G. D. & Thurston, R. N. 1974 Plate theory solution for guided flexural acoustic waves along the tip of a wedge. IEEE Trans. Sonics Ultrasonics 21, 178-186.
7. Maliuzhinets, G. D. 1955 Radiation of sound by oscillating faces of an arbitrary wedge. Acoust. J. 1, 144-164, 226-234 (in Russian).
8. Moss, S. L., Maradudin, A. A. & Cunningham, S. L. 1973 Vibrational edge modes for wedges of arbitrary interior angles. Phys. Rev. B 8, 2999-3008.
9. Mozhaev, V. G. 1989 Ray theory of wedge acoustic waves. Proc. Moscow State Univ. (Phys. Astron.) 30, 40-45 (in Russian).
10. Nayfeh, A. 1981 Introduction to perturbation technique. Wiley.
11. Noble, B. 1958 Methods based on the Wiener-Hopf technique. Oxford: Pergamon Press.
12. Osipov, A. V. & Norris, A. N. 1997 Acoustic diffraction by a fluid-loaded membrane corner. Proc. R. Soc. Land. A 453, 43-64.
13. Parker, D. F. 1992 Elastic wedge waves. J. Mech. Phys. Solids 40, 1583-1593.
14. Shanin, A. V. 1996 On wave excitation in a wedge-shaped region. Acoust. Phys. 42, 696-701.
15. Shanin, A. V. 1997a Excitation and scattering of a wedge wave in an obtuse elastic wedge close to 180°. Acoust. Phys. 43, 344-349.
16. Shanin, A. V. 19976 Excitation of wave field in a triangle area. In Proc. Int. Sem. 'Days on Diffraction '97', University of St Petersburg, 3-5 June 1997, pp. 205-214.
17. Timoshenko, S. & Woinovsky-Krieger, S. 1959 Theory of plates and shells. McGraw-Hill.