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Interaction of traveling waves with mass-with-mass defects within a Hertzian chain

Kevrekidis, P. G. and Vainchtein, A. and Serra Garcia, M. and Daraio, C. (2013) Interaction of traveling waves with mass-with-mass defects within a Hertzian chain. Physical Review E, 87 (4). Art. No. 042911. ISSN 1539-3755. https://resolver.caltech.edu/CaltechAUTHORS:20130516-133317881

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Abstract

We study the dynamic response of a granular chain of particles with a resonant inclusion (i.e., a particle attached to a harmonic oscillator, or a mass-with-mass defect). We focus on the response of granular chains excited by an impulse, with no static precompression. We find that the presence of the harmonic oscillator can be used to tune the transmitted and reflected energy of a mechanical pulse by adjusting the ratio between the harmonic resonator mass and the bead mass. Furthermore, we find that this system has the capability of asymptotically trapping energy, a feature that is not present in granular chains containing other types of defects. Finally, we study the limits of low and high resonator mass, and the structure of the reflected and transmitted pulses.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevE.87.042911DOIArticle
http://link.aps.org/doi/10.1103/PhysRevE.87.042911PublisherArticle
https://arxiv.org/abs/1212.1966arXivDiscussion Paper
ORCID:
AuthorORCID
Kevrekidis, P. G.0000-0002-7714-3689
Daraio, C.0000-0001-5296-4440
Additional Information:© 2013 American Physical Society. Received 9 December 2012; published 10 April 2013. C.D. acknowledges support from the US National Science Foundation, Grants No. CMMI-844540 (CAREER) and No. NSF 1138702. P.G.K. acknowledges support from the US National Science Foundation under Grant No. CMMI-1000337, the US Air Force under Grant No. FA9550-12-1-0332, the Alexander von Humboldt Foundation, and the Alexander S. Onassis Public Benefit Foundation. The work of A.V. was supported by the US NSF Grant No. DMS-1007908.
Funders:
Funding AgencyGrant Number
NSFCMMI-844540
NSFCMMI-1138702
NSFCMMI-1000337
Air Force Office of Scientific Research (AFOSR)FA9550-12-1-0332
Alexander von Humboldt FoundationUNSPECIFIED
Alexander S. Onassis Public Benefit FoundationUNSPECIFIED
NSFDMS-1007908
Issue or Number:4
Classification Code:PACS: 05.45.Yv, 63.20.Pw
Record Number:CaltechAUTHORS:20130516-133317881
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130516-133317881
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38543
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:16 May 2013 23:04
Last Modified:09 Mar 2020 13:18

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