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Published April 2013 | Submitted + Published
Journal Article Open

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


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.

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.

Attached Files

Published - PhysRevE.87.042911.pdf

Submitted - 1212.1966.pdf


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