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A fast and efficient approach for simulating ultrasonic waves and their interaction with defects in periodic structures

Malik, M K; Chronopoulos, D; Tanner, G; Essa, Y; De La Escalera, F

Authors

M K Malik

D Chronopoulos

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GREGOR TANNER GREGOR.TANNER@NOTTINGHAM.AC.UK
Professor of Applied Mathematics

Y Essa

F De La Escalera



Abstract

An approach for simulating transient wave propagation in periodic waveguides is presented. Free and forced propagation of ultrasonic waves is modelled in one dimensional periodic structures. The interaction of ultra-sonic waves with structural inhomogeneities is also studied. The approach is a combination of a hybrid Wave and Finite Element Method (WFEM) for free wave propagation, a coupling element for forced response and a time domain reconstruction technique. WFEM is used to obtain dispersion characteristics of the waveguide along with the basis functions for calculating the excitation response from the coupling element. The time domain response is obtained by taking an inverse Discrete Fourier Transform (DFT) of the frequency domain amplitudes. The results are compared with a full explicit FE simulation done in Abaqus. The presented approach is found to accurately simulate the excitation response of periodic waveguides as well as to drastically reduce the overall computation time.

Citation

Malik, M. K., Chronopoulos, D., Tanner, G., Essa, Y., & De La Escalera, F. (2018, September). A fast and efficient approach for simulating ultrasonic waves and their interaction with defects in periodic structures. Paper presented at International Conference on Noise and Vibration Engineering (ISMA2018)

Presentation Conference Type Conference Paper (unpublished)
Conference Name International Conference on Noise and Vibration Engineering (ISMA2018)
Start Date Sep 17, 2018
End Date Sep 19, 2018
Acceptance Date Aug 31, 2018
Online Publication Date Sep 19, 2019
Publication Date Sep 19, 2018
Deposit Date Aug 27, 2019
Edition 2018
Public URL https://nottingham-repository.worktribe.com/output/2506775
Related Public URLs http://past.isma-isaac.be/isma2018/proceedings/program/