Local/global homogenization of fluid-loaded periodic structures

TitleLocal/global homogenization of fluid-loaded periodic structures
Publication TypeJournal Article
Year of Publication2004
AuthorsP Danilov, and D Bliss
JournalThe Journal of the Acoustical Society of America
Volume116
Start Page879
Issue2
Pagination879 - 890
Date Published08/2004
Abstract

A novel homogenization method for periodic structures that utilizes a local/global separation of the high and low wavenumber spectrum is presented. The low-wavenumber global problem has an infinite-order operator. The global problem is self-contained; local solutions can be reconstructed after the fact if desired. Global problems are constructed for a membrane and a plate in vacuo, each with periodic impedance discontinuities. A fluid-loading approximation is introduced in order to homogenize problems of interaction between fluid and structure. Radiating acoustic modes are contained in the smooth global problem, and the global structural operator accounts for an influence of evanescent acoustic modes. As an example, oblique sound reflection from a flexible barrier with impedance discontinuities is analyzed. Accurate results are obtained from the method. © 2004 Acoustical Society of America.

DOI10.1121/1.1766022
Short TitleThe Journal of the Acoustical Society of America