Full Content is available to subscribers

Subscribe/Learn More  >

Dispersion Relation for Generally Damped Periodic Materials

[+] Author Affiliations
Michael J. Frazier, Mahmoud I. Hussein

University of Colorado at Boulder, Boulder, CO

Paper No. IMECE2010-40648, pp. 419-427; 9 pages
  • ASME 2010 International Mechanical Engineering Congress and Exposition
  • Volume 13: Sound, Vibration and Design
  • Vancouver, British Columbia, Canada, November 12–18, 2010
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4450-2
  • Copyright © 2010 by ASME


In this paper, we present a theoretical formalism for the study of damped periodic materials. First we consider a lumped parameter model consisting of two masses in the unit cell whereby the masses are connected by springs and dashpot viscous dampers. We then extend our analysis to the study of a two-dimensional phononic crystal, modeled as an elastic continuum, and consisting of a periodic arrangement of square inclusions distributed in a matrix base material. For our damping model, we consider both proportional damping and general damping. Our results demonstrate the effects that damping have on the dispersion relation and damping ratio band structure.

Copyright © 2010 by ASME



Interactive Graphics


Country-Specific Mortality and Growth Failure in Infancy and Yound Children and Association With Material Stature

Use interactive graphics and maps to view and sort country-specific infant and early dhildhood mortality and growth failure data and their association with maternal

Citing articles are presented as examples only. In non-demo SCM6 implementation, integration with CrossRef’s "Cited By" API will populate this tab (http://www.crossref.org/citedby.html).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In