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Coupling between plate vibration and acoustic radiationA detailed numerical investigation of the coupling between the vibration of a flexible plate and the acoustic radiation is performed. The nonlinear Euler equations are used to describe the acoustic fluid while the nonlinear plate equation is used to describe the plate vibration. Linear, nonlinear, and quasi-periodic or chaotic vibrations and the resultant acoustic radiation are analyzed. We find that for the linear plate response, acoustic coupling is negligible. However, for the nonlinear and chaotic responses, acoustic coupling has a significant effect on the vibration level as the loading increases. The radiated pressure from a plate undergoing nonlinear or chaotic vibrations is found to propagate nonlinearly into the far-field. However, the nonlinearity due to wave propagation is much weaker than that due to the plate vibrations. As the acoustic wave propagates into the far-field, the relative difference in level between the fundamental and its harmonics and subharmonics decreases with distance.
Document ID
19930009581
Acquisition Source
Legacy CDMS
Document Type
Preprint (Draft being sent to journal)
Authors
Frendi, Abdelkader
(Analytical Services and Materials, Inc. Hampton, VA., United States)
Maestrello, Lucio
(NASA Langley Research Center Hampton, VA., United States)
Bayliss, Alvin
(Northwestern Univ. Chicago, IL., United States)
Date Acquired
September 6, 2013
Publication Date
December 1, 1992
Subject Category
Theoretical Mathematics
Report/Patent Number
NAS 1.26:189741
NASA-CR-189741
AD-A260179
ICASE-92-67
Accession Number
93N18770
Funding Number(s)
CONTRACT_GRANT: NAS1-18605
PROJECT: RTOP 505-90-52-01
CONTRACT_GRANT: NAS1-19480
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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