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http://hdl.handle.net/10397/106483
Title: | Analytical coupled vibro-acoustic modeling of a cavity-backed duct-membrane system with uniform mean flow | Authors: | Liu, Y Du, J Cheng, L |
Issue Date: | Sep-2018 | Source: | Journal of the Acoustical Society of America, Sept 2018, v. 144, no. 3, p. 1368-1380 | Abstract: | Sound propagation in a flow duct is a complex and technically challenging problem. The presence of flexible vibrating walls inside the duct creates additional difficulties to the problem due to the complex vibro-acoustic and aero-acoustic couplings involved in the system. An accurate prediction of the coupled system response is of great importance for a good understanding of the underlying physics as well as the optimal design of relevant noise suppression devices. In the present work, a unified energy formulation is proposed for the fully coupled structural-acoustic modelling of a duct-mounted membrane backed by an acoustic cavity with a grazing flow. Sufficiently smoothed admissible functions, taking the form of a combination of Fourier series and supplementary polynomials, are constructed to overcome the differential discontinuities for various boundary and/or coupling conditions. The formulation allows the obtention of all relevant vibro-acoustic field information in conjunction with the generalized Lighthill equation and Rayleigh-Ritz procedure. The validation and convergence studies show the accuracy and the efficiency of the proposed model. Results show the strong structural-acoustic interaction in such a duct-membrane-cavity system, and the flow affects resonant amplitude of membrane-dominant modes significantly. Some cross-zones can be observed for the membrane kinetic energy frequency response with low Mach number cases, especially when a higher tension is applied to the membrane. Analyses on the structural-acoustic coupling strength indicate that the coupling between the odd-even structural modes becomes more significant at a higher Mach number compared with odd-odd and even-even mode pairs. It is also shown that adjusting the boundary constraint of the membrane or imposing a higher tensile force allows impairing the adverse influence of the flow in the duct on sound attenuation. | Publisher: | AIP Publishing LLC | Journal: | Journal of the Acoustical Society of America | ISSN: | 0001-4966 | EISSN: | 1520-8524 | DOI: | 10.1121/1.5053586 | Rights: | © 2018 Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America. The following article appeared in Yang Liu, Jingtao Du, Li Cheng; Analytical coupled vibro-acoustic modeling of a cavity-backed duct-membrane system with uniform mean flow. J. Acoust. Soc. Am. 1 September 2018; 144 (3): 1368–1380 and may be found at https://doi.org/10.1121/1.5053586. |
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