Simulated acoustic emissions from coupled strings

Chadwick, Richard S and Lamb, Jessica S and Manoussaki, Daphne (2013) Simulated acoustic emissions from coupled strings. Journal of Engineering Mathematics, 84. pp. 147-153.

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Abstract

We consider traveling transverse waves on two identical uniform taut strings that are elastically coupled through springs that gradually decrease their stiffness over a region of finite length. The wave system can be decomposed into two modes: an in-phase mode ( + ) that is transparent to the coupling springs, and an out-of-phase mode ( − ) that engages the coupling springs and can resonate at a particular location depending on the excitation frequency. The system exhibits linear mode conversion whereby an incoming ( + ) wave is reflected back from the resonance location both as a propagating ( + ) wave and an evanescent ( − ) wave, while both types emerge as propagating forward through the resonance location. We match a local transition layer expansion to the WKB expansion to obtain estimates of the reflection and transmission coefficients. The reflected waves may be an analog for stimulated emissions from the ear.

Item Type: Article
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics > Department of Applied Mathematics
Depositing User: Dr. Daphne Manoussaki
Date Deposited: 18 Feb 2014 17:08
Last Modified: 05 May 2017 13:48
URI: http://preprints.acmac.uoc.gr/id/eprint/276

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