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Published October 29, 2014 | Supplemental Material + Published
Journal Article Open

Local to Extended Transitions of Resonant Defect Modes


We study the localized modes created by introducing a resonant defect in a mechanical lattice. We find that modes introduced by resonant defects have profiles that can be tuned from being extremely localized to totally delocalized by an external force. This is in direct contrast with modes introduced by traditional mass or stiffness defects, in which the modes' profiles stay constant. We present an analytical model for resonant defects in one-dimensional nonlinear lattices, computationally demonstrate the equivalent effect in a two-dimensional lattice, and experimentally observe the mode profiles in a granular crystal. While our study is concerned with nonlinear mechanical lattices, the generality of our model suggests that the same effect should be present in other types of periodic lattices.

Additional Information

© 2014 American Physical Society. Published 29 October 2014; received 6 June 2014. We thank and acknowledge financial support from NSF CMMI CAREER (844540) and US-AFOSR (FA9550-12-1-0332).

Attached Files

Published - PhysRevLett.113.185503.pdf

Supplemental Material - SupplementaryInformationFinalRevision_AuthorResponse.docx

Supplemental Material - SupplementaryInformationFinalRevision_AuthorResponse.pdf

Supplemental Material - SupplementaryVideo1.gif

Supplemental Material - SupplementaryVideo2.gif


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August 20, 2023
October 18, 2023