A re-examination of the non-linear interaction between an acoustic fluid and a flat plate undergoing harmonic excitation

✍ Scribed by J.H. Ginsberg

• Publisher: Elsevier Science
• Year: 1978
• Tongue: English
• Weight: 545 KB
• Volume: 60
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(78)80123-0

✦ Synopsis

In a recent study Nayfeh and Kelly [1] employed a direct renormalization procedure to evaluate the structural and acoustic response resulting from resonant harmonic excitation of a flat plate. Such a problem had been solved earlier by a method that employs two co-ordinate strainings. The present investigation begins by showing that the finite amplitude acoustic waves are described by the same relations in the cases of resonant and non-resonant excitation. An explicit criterion for the location of a shock is obtained, and it is proven that shocks form along a series of straight lines. A quantitative example depicts various spatial and temporal responses; some of these responses have not been evaluated previously. The distortion effects are explained in terms of self-refraction phenomena, and the results of the dual renormalization method employed earlier are shown to be incorrect in the vicinity of the shock.