The dynamic excitation of a granular chain for biomedical ultrasound applications: contact mechanics finite element analysis and validation

14th Anglo-French Physical Acoustics Conference

Gélat, P.^1 ; Yang, J.^2 ; Thomas, P.J.^2 ; Hutchins, D.A.^2 ; Akanji, O.^2 ; Davis, L.A.J.^2 ; Freear, S.^3 ; Harput, S.^3 ; Saffari, N.^1

UCL Mechanical Engineering, University College London, Torrington Place, London

WC1E 7JE, United Kingdom^1

School of Engineering, University of Warwick, CV4 7AL, United Kingdom^2

School of Electronic and Electrical Engineering, University of Leeds, Leeds

LS2 9JT, United Kingdom^3

关键词: Biomedical ultrasound;    Discrete dynamics;    Discrete mechanics;    Displacement signals;    Dynamic excitations;    Multiple collisions;    Therapeutic ultrasound;    Transduction mechanism;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/684/1/012005/pdf
DOI  :  10.1088/1742-6596/684/1/012005

来源: IOP

【 摘 要 】

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.