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A Classical Problem in Structural-Acoustics

Sarkar, Abhijit and Sonti, Venkata R (2008) A Classical Problem in Structural-Acoustics. [Preprint]


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A classical problem in structural-acoustics is that of an infinite plate loaded on one side by a heavy fluid of infinite extent and set into vibrations by a line force. This problem has been solved using semi-analytical methods by Crighton [1, 2], Morse and Ingard [3] and Junger [4, 5]. While, the solution to this problem is available in the literature cited above, tools to understand the articles such as wave propagation methods, complex variables and asymptotic methods (which a student of structural acoustics needs to learn) are scattered in the literature and also since they are presented by different individuals mathematicians, physicists and engineers) the level of presentation is varied (some brief and some elaborate). Moreover, it may be difficult to find a single course which discusses the three methods tailored to address this classical problem. Seeing the importance of the problem and also the difficulties on the part of a research student in acquiring all the required tools, we undertake a detailed derivation along with a sufficient elaboration on the required tools such as contour integrations involving branch cuts and asymptotics. The derivations will be presented in a three part article. The target audience for this presentation is an engineering research student in structural acoustics.

Item Type: Preprint
Additional Information: This is an author's version article and is not published.
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 20 Mar 2008
Last Modified: 19 Sep 2010 04:43
URI: http://eprints.iisc.ernet.in/id/eprint/13496

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