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Non-linear wave propagation in acoustically lined circular ductsAn analysis is presented of the nonlinear effects of the gas motion as well as of the acoustic lining material on the transmission and attenuation of sound in a circular duct with a uniform cross-section and no mean flow. The acoustic material is characterized by an empirical, nonlinear impedance in which the instantaneous resistance is a nonlinear function of both the frequency and the acoustic velocity. The results show that there exist frequency bandwidths around the resonant frequencies in which the nonlinearity decreases the attenuation rate, and outside which the nonlinearity increases the attenuation rate, in qualitative agreement with experimental observations. Moreover, the effect of the gas nonlinearity increases with increasing sound frequency, whereas the effect of the material nonlinearity decreases with increasing sound frequency.
Document ID
19740061566
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Nayfeh, A. H.
Tsai, M.-S.
(Virginia Polytechnic Institute and State University Blacksburg, Va., United States)
Date Acquired
August 7, 2013
Publication Date
September 8, 1974
Publication Information
Publication: Journal of Sound and Vibration
Volume: 36
Subject Category
Physics, General
Accession Number
74A44316
Funding Number(s)
CONTRACT_GRANT: NGR-47-004-109
Distribution Limits
Public
Copyright
Other

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