Kao, David, Graham, Deryn, Knight, Brian and Pericleous, Koulis A. ORCID: https://orcid.org/0000-0002-7426-9999 (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: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
Related URLs:	Publisher Organisation Organisation Organisation
Last Modified:	05 Mar 2019 13:04
URI:	http://gala.gre.ac.uk/id/eprint/1109

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