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Application of cepstral techniques for the determination of reflection coefficients for dispersive systems--II. Comparison between theory and experiment

✍ Scribed by N. Khalili; J.K. Hammond

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 367 KB
Volume: 7
Category: Article
ISSN: 0888-3270
DOI: 10.1006/mssp.1993.1025

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✦ Synopsis

The technique for the determination of reflection coefficients arising in dispersive systems developed in Part I are analysed from an experimental point of view. For a transverse vibration of a beam, comparison is made between the theoretical and experimental dispersion relation. Then using the dispersion relation the cepstrum as a function of space is obtained for a semi-infinite beam with one end free. Next, the impeding mass is chosen to be a reflector which is attached to an infinite beam. The cepstra are compared with numerical results and the reflection coefficients of the free end and the mass are obtained which are in good agreement with theory. Finally the technique is applied to multi-mode systems (i.e., a rigid walled pipe), having more than one dispersion relation correspond to higher order modes.

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