The dynamic excitation of a granular chain: Contact mechanics finite element analysis and experimental validation

Journal article


Gélat, P, Yang, J., Akanji, O., Thomas, P.J., Hutchins, D., Harput, S., Freear, S. and Saffari, N. (2017). The dynamic excitation of a granular chain: Contact mechanics finite element analysis and experimental validation. The Journal of the Acoustical Society of America.
AuthorsGélat, P, Yang, J., Akanji, O., Thomas, P.J., Hutchins, D., Harput, S., Freear, S. and Saffari, N.
Abstract

There is currently interest in transmitting acoustic signals along granular chains to produce waveforms of relevance to biomedical ultrasound applications. The study of such a transduction mechanism is greatly aided by the use of validated theoretical models. In view of this, a finite element analysis is presented in this paper. The dynamics of a granular chain of six, 1 mm diameter chrome steel spherical beads, was excited at one end using a sinusoidal displacement signal at 73 kHz, and terminated by a rigid support. Output from this model was compared with the solution provided by the equivalent discrete dynamics model, and good agreement obtained. An experimental configuration involving the same chain, but terminated by an annular support made of a liquid photopolymer resin was also simulated and the velocity of the last sphere obtained through simulation was compared with laser vibrometer measurement, with good agreement. This model was then extended whereby the granular chain was coupled to an acoustic medium with the properties of water, via a thin vitreous carbon cylinder. Finite element predictions of the acoustic pressure indicate that, for a 73 kHz excitation frequency, harmonic rich acoustic pulses with harmonic content close to 1 MHz are predicted.

© 2017 Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America. The following article appeared in Journal of the Acoustical Society of America and may be found at https://doi.org/10.1121/1.4983466.

Year2017
JournalThe Journal of the Acoustical Society of America
PublisherAIP Publishing
ISSN0001-4966
Digital Object Identifier (DOI)doi:10.1121/1.4983466
Web address (URL)https://asa.scitation.org/doi/10.1121/1.4983466
Publication dates
Online08 Jun 2017
Publication process dates
Accepted24 Apr 2017
Deposited12 Aug 2019
Accepted author manuscript
License
CC BY 4.0
File Access Level
Open
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