1. A mathematical description of the acoustic coupling of the mass/spring model
- Author
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Kao, David, Graham, Deryn, Knight, Brian, and Pericleous, Koulis
- Subjects
- *
ACOUSTICAL engineering , *STRESS waves , *MATHEMATICAL models , *MATHEMATICS - Abstract
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. [Copyright &y& Elsevier]
- Published
- 2007
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