Damping in periodic structures: A continuum modeling approach

A. Salehian, M. Ibrahim, T. M. Seigler

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


A homogenized modeling technique is developed in this paper to account for viscous damping properties in beamlike lattice structures of repeated patterns. Necessary assumptions regarding the local free deformations, shear deformation beam theory, and compatibility conditions are made to obtain an equivalent continuum model of a threedimensional lattice. A dissipated energy equivalence approach is then used to relate the energy dissipation for a general case of damping matrix in a lattice element to an equivalent proportionally damped model. As a result, a continuum model with Kelvin-Voigt damping is obtained. Damped bending natural frequencies, frequency response functions, and damping ratios are found using this method and compared to the results of a finite-element analysis for several structures for the purpose of validation.

Original languageEnglish
Pages (from-to)569-590
Number of pages22
JournalAIAA Journal
Issue number3
StatePublished - Mar 2014

Bibliographical note

Funding Information:
The authors graciously appreciate NSERC funding agency in Canada for supporting this research under the NSERC-DG 371472-2009.

ASJC Scopus subject areas

  • Aerospace Engineering


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