Trapping of Vibrational Energy in Crumpled Sheets

Details Trapping of Vibrational Energy in Crumpled Sheets Trapping of Vibrational Energy in Crumpled Sheets

2001-09-04

arxiv.org/abs/cond-mat/0109059v1

Physics

Condensed Matter

Materials Science

RevTex 12 pages, 7 figures, Submitted to PRE

Scientific paper

10.1103/PhysRevE.65.036613

We investigate the propagation of transverse elastic waves in crumpled media. We set up the wave equation for transverse waves on a generic curved, strained surface via a Langrangian formalism and use this to study the scaling behaviour of the dispersion curves near the ridges and on the flat facets. This analysis suggests that ridges act as barriers to wave propagation and that modes in a certain frequency regime could be trapped in the facets. A simulation study of the wave propagation qualitatively supported our analysis and showed interesting effects of the ridges on wave propagation.

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