The purpose of this research is to develop a visual demonstration of time reversal focusing of vibrations in a thin plate. Various plate materials are tested to provide optimal conditions for time reversal focusing. Specifically, the reverberation time in each plate and the vibration coupling efficiency from a shaker to the plate are quantified to illustrate why a given plate provides the best spatially confined focus as well as the highest focal amplitude possible. A single vibration speaker and a scanning laser Doppler vibrometer (SLDV) are used to provide the time reversal focusing. Table salt is sprinkled onto the plate surface to allow visualization of the high amplitude, spatially localized time reversal focus; the salt is thrown upward only at the focal position. Spatial mapping of the vibration focusing on the plate using the SLDV is correlated to the visual salt jumping demonstration. The time reversal focusing is also used to knock over an object when the object is placed at the focal position; some discussion of optimal objects to use for this demonstration are given.
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Time reversal focusing of elastic waves in plates for an educational demonstration
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February 2017
February 24 2017
Time reversal focusing of elastic waves in plates for an educational demonstration
Christopher Heaton;
Christopher Heaton
Acoustics Research Group, Department of Physics and Astronomy,
Brigham Young University
, Provo, Utah 84602, USA
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Brian E. Anderson;
Brian E. Anderson
a)
Acoustics Research Group, Department of Physics and Astronomy,
Brigham Young University
, Provo, Utah 84602, USA
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Sarah M. Young
Sarah M. Young
Acoustics Research Group, Department of Physics and Astronomy,
Brigham Young University
, Provo, Utah 84602, USA
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a)
Electronic mail: [email protected]
J. Acoust. Soc. Am. 141, 1084–1092 (2017)
Article history
Received:
July 14 2016
Accepted:
January 10 2017
Citation
Christopher Heaton, Brian E. Anderson, Sarah M. Young; Time reversal focusing of elastic waves in plates for an educational demonstration. J. Acoust. Soc. Am. 1 February 2017; 141 (2): 1084–1092. https://doi.org/10.1121/1.4976070
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