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The dynamic excitation of a granular chain for biomedical ultrasound applications : contact mechanics finite element analysis and validation
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Gelat, Pierre, Yang, Jia, Thomas, P. J. (Peter J.), Hutchins, David A., Akanji, Omololu, Davis, Lee A. J., Freear, Steven, Harput, Sevan and Saffari, Nader (2016) The dynamic excitation of a granular chain for biomedical ultrasound applications : contact mechanics finite element analysis and validation. Journal of Physics: Conference Series, 684 . pp. 1-14. 012005. doi:10.1088/1742-6596/684/1/012005 ISSN 1742-6596.
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Official URL: http://dx.doi.org/10.1088/1742-6596/684/1/012005
Abstract
There has been recent interest in the transmission of acoustic signals along granular chains of spherical beads to produce waveforms of relevance to biomedical ultrasound applications. Hertzian contact between adjacent beads can introduce different harmonic content into the signal as it propagates. This transduction mechanism has the potential to be of use in both diagnostic and therapeutic ultrasound applications, and is the object of the study presented here. Although discrete dynamics models of this behaviour exist, a more comprehensive solution must be sought if changes in shape and deformation of individual beads are to be considered. Thus, the finite element method was used to investigate the dynamics of a granular chain of six, 1 mm diameter chrome steel spherical beads excited at one end using a sinusoidal displacement signal at 73 kHz. Output from this model was compared with the solution provided by the discrete dynamics model, and good overall agreement obtained. In addition, it was able to resolve the complex dynamics of the granular chain, including the multiple collisions which occur. It was demonstrated that under dynamic excitation conditions, the inability of discrete mechanics models to account for elastic deformation of the beads when these lose contact, could lead to discrepancies with experimental observations.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | T Technology > TA Engineering (General). Civil engineering (General) | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering | ||||||
| Library of Congress Subject Headings (LCSH): | Finite element method, Biomedical materials | ||||||
| Journal or Publication Title: | Journal of Physics: Conference Series | ||||||
| Publisher: | Institute of Physics Publishing Ltd. | ||||||
| ISSN: | 1742-6596 | ||||||
| Official Date: | 2016 | ||||||
| Dates: |
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| Volume: | 684 | ||||||
| Number of Pages: | 12 | ||||||
| Page Range: | pp. 1-14 | ||||||
| Article Number: | 012005 | ||||||
| DOI: | 10.1088/1742-6596/684/1/012005 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||
| Date of first compliant deposit: | 27 April 2016 | ||||||
| Date of first compliant Open Access: | 27 April 2016 | ||||||
| Funder: | Engineering and Physical Sciences Research Council (EPSRC) | ||||||
| Grant number: | EP/K030159/1 (EPSRC) |
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