Elastic wave radiation from a high frequency finite-length transducer

Owen, G. W. and Abrahams, David (2006) Elastic wave radiation from a high frequency finite-length transducer. Journal of Sound and Vibration, 298 (1-2). pp. 108-131. ISSN 0022-460X

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Abstract

A simple model of a high frequency piezoelectric transducer affixed to an elastic half-space is analysed. The problem is reformulated as a modified matrix Wiener–Hopf equation, containing a kernel for which there is no known exact factorisation. An approximate factorisation is obtained, and the resulting integral equation is solved by iteration, in limit that the length of the transducer is very much larger than a typical wavelength.

Item Type: Article
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 45 Integral equations
MSC 2010, the AMS's Mathematics Subject Classification > 47 Operator theory
MSC 2010, the AMS's Mathematics Subject Classification > 74 Mechanics of deformable solids
Depositing User: Ms Lucy van Russelt
Date Deposited: 04 Jan 2007
Last Modified: 20 Oct 2017 14:12
URI: http://eprints.maths.manchester.ac.uk/id/eprint/685

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