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Non-Reciprocity in Structures With Nonlinear Internal Hierarchy and Asymmetry

Fronk, Matthew D. and Tawfick, Sameh and Daraio, Chiara and Vakakis, Alexander F. and Leamy, Michael J. (2017) Non-Reciprocity in Structures With Nonlinear Internal Hierarchy and Asymmetry. In: ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Vol.8. American Society of Mechanical Engineers , New York, NY, Art. No. V008T12A023. ISBN 978-0-7918-5822-6. http://resolver.caltech.edu/CaltechAUTHORS:20180215-140456213

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Abstract

Acoustic reciprocity is a property of linear, time invariant systems in which the locations of the source of a forcing and the received signal can be interchanged with no change in the measured response. This work investigates the breaking of acoustic reciprocity using a hierarchical structure consisting of internally-scaled masses coupled with cubically nonlinear springs. Using both direct results and variable transformations of numerical simulations, energy transmission is shown to occur in the direction of decreasing scale but not vice versa, constituting the breaking of acoustic reciprocity locally. When a linear spring connects the smallest scale of such a structure to the largest scale of another identical structure, an asymmetrical lattice is formed. Because of the scale mixing and transient resonance capture that occurs within each unit cell, it is demonstrated through further numerical experiments that energy transmission occurs primarily in the direction associated with the nonlinear coupling from the large to the small scale, thus signifying the breaking of reciprocity globally. This nonlinear hierarchical structure exhibits strong amplitude-dependency in which reciprocity-breaking is associated with specific ranges of excitation amplitudes for both impulse and harmonic forcing.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1115/DETC2017-67965DOIArticle
http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=2662464PublisherArticle
ORCID:
AuthorORCID
Daraio, Chiara0000-0001-5296-4440
Additional Information:© 2017 ASME. Paper No. DETC2017-67965.
Subject Keywords:Resonance, Acoustics, Computer simulation, Transients (Dynamics), Impulse (Physics), Signals, Springs, Time-invariant systems, Excitation
Record Number:CaltechAUTHORS:20180215-140456213
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180215-140456213
Official Citation:Fronk MD, Tawfick S, Daraio C, Vakakis AF, Leamy MJ. Non-Reciprocity in Structures With Nonlinear Internal Hierarchy and Asymmetry. ASME. International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Volume 8: 29th Conference on Mechanical Vibration and Noise ():V008T12A023. doi:10.1115/DETC2017-67965
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:84853
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:15 Feb 2018 22:46
Last Modified:15 Feb 2018 22:46

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