A semi-analytical model for predicting multiple propagating axially symmetric modes in cylindrical waveguides

Ultrasonics

Volumn 43, Issue 3, 2005, Pages 197-207

  Puckett, Anthony D ^b   Peterson, M L ^a  

^a The University of Maine   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Analytical model; Cylindrical waveguide; Dispersive; Elastic wave propagation; Multiple mode

Indexed keywords

ACOUSTIC SIGNAL PROCESSING; BOUNDARY CONDITIONS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; PIEZOELECTRIC TRANSDUCERS; WAVE PROPAGATION;

ANALYTICAL MODEL; DISPERSIVE; ELASTIC WAVE PROPAGATION; MULTIPLE MODE; SPLIT HOPKINSON PRESSURE BAR (SHPB);

CIRCULAR WAVEGUIDES;

EID: 9644255868     PISSN: 0041624X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ultras.2004.04.008     Document Type: Article

References (29)

1. C.K. Jen, Ph. de Heering, P. Sutcliffe, J.F. Bussiere, Ultrasonic monitoring of the molten zone of single-crystal germanium, Mater. Eval. 49 (1991) 701-705.
2. C.-K. Jen, B. Cao, K.T. Nguyen, C.A. Loong, J.-G. Legoux, Online ultrasonic monitoring of a die-casting process using buffer rods, Ultrasonics 35 (1997) 335-344.
3. M.L. Peterson, A signal processing technique for measurement of multi-mode waveguide signals: an application to monitoring of reaction bonding in silicon nitride, Res. Nondestr. Eval. 5 (1994) 239-256.
4. L. Pochhammer, Über die Fortpfianzungsgeschwindigkeiten kleiner Schwingungen in einem unbegrenzten isotropen Kreiscylinder, J. Reine Angew. Math. 81 (1876) 324-336.
5. C. Chree, The equations of an Isotropic elastic solid in polar and cylindrical coordinates, their solution and application, Trans. Cambridge Philos. Soc. 14 (1889) 250-369.
6. R.M. Davies, A critical study of the Hopkinson pressure bar, Philos. Trans. R. Soc. A 240 (1948) 375-457.
7. P.S. Follansbee, C. Frantz, Wave propagation in the split hopkinson pressure bar, J. Eng. Mater. Technol. 105 (1983) 61-66.
8. J. Zemanek, An experimental and theoretical investigation of elastic wave propagation in a cylinder, J. Acoust. Soc. Am. 51 (1972) 265-283.
9. R.D. Gregory, I. Gladwell, Axisymmetric waves in a semi-infinite elastic rod, Q. J. Mech. Appl. Math. 42 (1989) 327-337.
10. J. Oliver, Elastic wave dispersion in a cylindrical rod by a wide-band short-duration pulse technique, J. Acoust. Soc. Am. 29 (1957) 189-194.
11. M.L. Peterson, Prediction of longitudinal disturbances in a multi-mode cylindrical waveguide, Exp. Mech. 39 (1999) 36-42.
12. A.D. Puckett, M.L. Peterson, Fidelity of an analytical time reversal mirror, in: D.O. Thompson, D.E. Chimenti (Eds.), Review of Progress of Quantitative Nondestructive Evaluation, 21, American Institute of Physics, New York, 2002, pp. 945-952.
13. R. Skalak, Longitudinal impact of a semi-infinite circular elastic bar, J. Appl. Mech. 24 (1957) 59-64.
14. F. Vales, S. Moravka, R. Brepta, J. Cerv, Wave propagation in a thick cylindrical bar due to longitudinal impact, JSME Int. J. 39A (1996) 60-70.
15. R. Folk, G. Fox, C.A. Shook, C.W. Curtis, Elastic strain produced by sudden application of pressure to one end of a cylindrical bar. I. Theory, J. Acoust. Soc. Am. 30 (1958) 552-558.
16. G. Fox, C.W. Curtis, Elastic strain produced by sudden application of pressure to one end of a cylindrical bar. II. Experimental observations, J. Acoust. Soc. Am. 30 (1958) 559-563.
17. I.S. Goldberg, R.T. Folk, Solutions to time-dependent pure-end condition problems of elasticity: pressure-step wave propagation and end-resonance effects, SIAM J. Appl. Math. 53 (1993) 1264-1292.
18. O.E. Jones, F.R. Norwood, Axially symmetric cross-sectional strain and stress distributions in suddenly loaded cylindrical elastic bars, J. Appl. Mech. 34 (1967) 718-724.
19. L.W. Kennedy, O.E. Jones, Longitudinal wave propagation in a circular bar loaded suddenly by a radially distributed end stress, J. Appl. Mech. 36 (1969) 470-478.
20. J.D. Achenbach, Wave propagation in elastic solids, North Holland, Amsterdam, 1999.
21. W.B. Fraser, An orthogonality relation for the modes of wave propagation in an elastic circular cylinder, J. Sound Vibrat. 43 (1975) 568-571.
22. M.E. Fama, Radial eigenfunctions for the elastic circular cylinder, Q. J. Mech. Appl. Math. 25 (1972) 479-495.
23. T. Kohl, S.K. Datta, A.H. Shah, Axially symmetric pulse propagation in semi-infinite hollow cylinders, AIAA J. 30 (1992) 1617-1624.
24. L.W. Schmerr, Fundamentals of Ultrasonic Nondestructive Evaluation, Plenum Press, New York, 1998.
25. A.D. Puckett, M.L. Peterson, Technique for determining the pressure distribution on the face of a contact ultrasonic transducer, Exp. Technol. 27 (4) (2003) 37-39.
26. M. Redwood, Mechanical Waveguides, Pergamon Press, New York, 1960.
27. N. Rattanawangcharoen, A.H. Shah, S.K. Datta, Reflection of waves at the free edge of a laminated circular cylinder, J. Appl. Mech. 61 (1994) 323-329.
28. J. Zemanek, An experimental and theoretical investigation of elastic wave propagation in a cylinder, Ph.D. dissertation, University of California, Los Angeles, 1962.
29. M. Niethammer, L.J. Jacobs, Time-frequency representations of lamb waves, J. Acoust. Soc. Am. 109 (2001) 1841-1847.