# 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:10.1016/j.apm.2006.10.016)

## 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 |
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Uncontrolled Keywords: | acoustic emission, lumped systems, acoustic wave equation |

Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |

School / Department / Research Groups: | School of Computing & Mathematical Sciences > Department of Information Systems & Digital Media School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis School of Computing & Mathematical Sciences > eCentre School of Computing & Mathematical Sciences > Computer & Computational Science Research Group School of Computing & Mathematical Sciences > Department of Computer Science School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Science & Engineering Group |

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Last Modified: | 31 Mar 2011 18:20 |

URI: | http://gala.gre.ac.uk/id/eprint/1109 |

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