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A mathematical description of the acoustic coupling of the mass/spring model

A mathematical description of the acoustic coupling of the mass/spring model

Kao, David, Graham, Deryn, Knight, Brian and Pericleous, Koulis A. (2007) A mathematical description of the acoustic coupling of the mass/spring model. Applied Mathematical Modelling, 31 (12). pp. 2684-2695. ISSN 0307-904X (doi:https://doi.org/10.1016/j.apm.2006.10.016)

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Abstract

This paper describes hybrid mathematical model which couples the mechanics of the mass/spring model to the acoustic wave propagation model for use in generating the acoustic signal emitted by complex structures of paper fibres under strain. A discussion of the coupling method is presented including remarks on the errors encountered intrinsic to the discretisation scheme. The numerical results of a vibrating rubber band and a vibrating paper fibre are compared to their experimental counterparts. The fundamental frequencies of the acoustic signals are compared showing a close agreement between the experimental and numerical results

Item Type: Article
Uncontrolled Keywords: acoustic emission, lumped systems, acoustic wave equation
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Pre-2014 Departments: School of Computing & Mathematical Sciences
School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis
School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Science & Engineering Group
School of Computing & Mathematical Sciences > Computer & Computational Science Research Group
School of Computing & Mathematical Sciences > Department of Computer Science
School of Computing & Mathematical Sciences > Department of Information Systems & Digital Media
School of Computing & Mathematical Sciences > eCentre
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Last Modified: 05 Mar 2019 13:04
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
URI: http://gala.gre.ac.uk/id/eprint/1109

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