An alternative method for the solution of the classical problem of a weakly non-linear, non-dispersive plane wave is derived, under the condition that the method of solution be directly applicable to multi-dimensional waves. The approach consists of applying Lighthill's technique of strained co-ordi
Multi-dimensional non-linear acoustic wave propagation, part II: The non-linear interaction of an acoustic fluid and plate under harmonic excitation
โ Scribed by J.H. Ginsberg
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 902 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
The non-linear interaction of a harmonically excited flat plate interfacing with an acoustic fluid is investigated by using the techniques developed in Part 1. The plate is infinitely long and is periodically supported, and the fluid is an inviscid perfect gas. In the analysis the non-linear terms arising from the equations of motion for the fluid and the plate, and also from the boundary conditions describing the interface, are fully treated. It is found that the non-Iinearities arising from the fluid do not affect the plate response. The non-linear acoustic waves show several strong differences from the predictions of linear theory, all attributable to the phenomenon of self-refraction.
๐ SIMILAR VOLUMES
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 inv