Abstract
This paper deals with a numerical simulation of time reversal (TR) process applied to a cantilever beam. To conduct this process we assume a finite difference scheme based on Euler-Bernoulli theory of transversal vibration of the beam. The TR process is then used to localize the position of an impact on the beam. To complete the TR process we need one or more measurements of the field on different positions. We had study the effect of the measurements number and their positions on the localization with the TR process. The objective of this study is to reduce the number of measurements and hopefully use it in an experiment with few measuring instruments.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ernst, R., Dual, J.: Acoustic emission localization in beams based on time reversed dispersion. Ultrasonics 54(6), 1522–1533 (2014)
Fink, M.: Time reversal of ultrasonic fields. i. basic principles. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control (1992)
Fink, M., Prada, C., Wu, F., Cassereau, D.: Self focusing in inhomogeneous media with time reversal acoustic mirrors. In: Proceedings of the IEEE Ultrasonics Symposium (1989)
Francoeur, D., Berry, A.: Time reversal of flexural waves in a beam at audible frequency. The Journal of the Acoustical Society of America 124(2), 1006–1017 (2008)
Graff, K.: Wave Motion in Elastic Solids. Dover Publications (1975)
Prada, C., Manneville, S., Spoliansky, D., Fink, M.: Decomposition of the time reversal operator: Detection and selective focusing on two scatterers. The Journal of the Acoustical Society of America 99(4), 2067–2076 (1996)
Ribay, G.: Localisation de source en milieu réverbérant par Retournement Temporel. PhD thesis (2006)
Sachs, R.: The Physics of Time Reversal. University of Chicago Press (1987)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Chaterbache, O., Miloudi, A. (2015). Localization of Impact on a Beam by Time Reversal Method. In: Haddar, M., et al. Multiphysics Modelling and Simulation for Systems Design and Monitoring. MMSSD 2014. Applied Condition Monitoring, vol 2. Springer, Cham. https://doi.org/10.1007/978-3-319-14532-7_7
Download citation
DOI: https://doi.org/10.1007/978-3-319-14532-7_7
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-14531-0
Online ISBN: 978-3-319-14532-7
eBook Packages: EngineeringEngineering (R0)