Wave propagation, reflection and transmission in non-uniform one-dimensional waveguides

Journal of Sound and Vibration

Volumn 304, Issue 1-2, 2007, Pages 31-49

  Lee, S K ^a   Mace, B R ^a   Brennan, M J ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY TRANSFER; NATURAL FREQUENCIES; VIBRATIONS (MECHANICAL); WAVE PROPAGATION;

EULER-BERNOULLI BEAMS; RECTANGULAR CONNECTORS; UNIFORM WAVEGUIDES;

WAVEGUIDES;

EID: 34247612443     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.01.039     Document Type: Article

References (24)

1. Lighthill M.J. Waves in Fluids (1978), Cambridge University Press, Cambridge
2. Langley R.S. Wave evolution, reflection, and transmission along inhomogeneous waveguides. Journal of Sound and Vibration 227 (1999) 131-158
3. Pierce A.D. Acoustics: An Introduction to Its Physical Principles and Applications (1981), McGraw-Hill, New York
4. Nagarkar B.N., and Finch R.D. Sinusoidal horns. Journal of the Acoustical Society of America 50 (1971) 23-31
5. McLachlan N.W. Bessel Functions for Engineers. second ed. (1955), Oxford University Press, London
6. Graff K.F. Wave Motion in Elastic Solids (1975), Clarenden Press, Oxford
7. Kumar B.M., and Sujith R.I. Exact solutions for the longitudinal vibration of non-uniform rods. Journal of Sound and Vibration 207 (1997) 721-729
8. Cranch E.T., and Adler A.A. Bending vibrations of variable section beams. Journal of Applied Mechanics 23 (1956) 103-108
9. Abrate S. Vibration of non-uniform rods and beams. Journal of Sound and Vibration 185 (1995) 703-716
10. Suppiger E.D., and Taleb N.J. Free lateral vibration of beams of variable cross section. Zeitschrift für Angewandte Mathematik und Physik (ZAMP) 7 (1956) 501-520
11. Conway H.D., Becker E.C.H., and Dubil J.F. Vibration frequencies of tapered bars and circular plates. Journal of Applied Mechanics 31 (1964) 329-331
12. Mabie H.H., and Rogers C.B. Transverse vibrations of tapered cantilever beams with end support. Journal of the Acoustical Society of America 44 (1968) 1739-1741
13. Mabie H.H., and Rogers C.B. Transverse vibrations of double-tapered cantilever beams with end support and with end mass. Journal of the Acoustical Society of America 55 (1974) 986-991
14. Goel R.P. Transverse vibrations of tapered beams. Journal of Sound and Vibration 47 (1976) 1-7
15. Craver W.L., and Jampala P. Transverse vibrations of a linearly tapered cantilever beam with constraining springs. Journal of Sound and Vibration 166 (1993) 521-529
16. Auciello N.M., and Nole G. Vibrations of a cantilever tapered beam with varying section properties and carrying a mass at the free end. Journal of Sound and Vibration 214 (1998) 105-119
17. Banerjee J.R., and Williams F.W. Exact Euler-Bernoulli dynamic stiffness matrix for a range of tapered beams. International Journal for Numerical Methods in Engineering 21 (1985) 2289-2302
18. Petersson B.A.T., and Nijman E.J.M. The one-dimensional bending wave counterpart to the acoustic horn and the semi-infinite wedge. Journal of Sound and Vibration 211 (1998) 95-121
19. Krylov V.V., and Tilman F.J.B.S. Acoustic 'black holes' for flexural waves as effective vibration dampers. Journal of Sound and Vibration 274 (2004) 605-619
20. Harland N.R., Mace B.R., and Jones R.W. Wave propagation, reflection and transmission in tunable fluid-filled beams. Journal of Sound and Vibration 241 (2001) 735-754
21. Doyle J.F. Wave Propagation in Structures: Spectral Analysis using Fast Discrete Fourier Transforms (1997), Springer, New York
22. Cremer L., Heckl M., and Ungar E.E. Structure-Borne Sound (1973), Springer, Berlin
23. S.-K. Lee, Wave Reflection, Transmission and Propagation in Structural Waveguides, PhD Thesis, University of Southampton, Institute of Sound and Vibration Research, 2006.
24. Abramowitz M., and Stegun I.A. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (1965), Dover, New York