Free vibrations of finite periodic structures in pass- and stop-bands of the counterpart infinite waveguides

Alexander Hvatov*, Sergey Sorokin

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

59 Citations (Scopus)

Abstract

The existence of frequency stop-bands, in which transmission of the vibro-acoustic energy is impossible, suggests that the periodic structures may be used for vibro-isolation. In any technical application, however, only a finite segment of such a structure can be used. This paper is concerned with comparison of the eigenfrequency spectra of finite periodic structures with location of stop-bands for their infinite counterparts. A hierarchy of four mathematical models is considered. In each case, special attention is paid to eigenfrequencies and eigenmodes of a single periodicity cell with appropriate boundary conditions. The influence of the amount of periodicity cells in a finite compound structure on its eigenfrequency spectrum is analyzed. Several features common for the considered models are found and discussed in the context of the existing knowledge on the subject.

Original languageEnglish
JournalJournal of Sound and Vibration
Volume347
Pages (from-to)200-217
Number of pages18
ISSN0022-460X
DOIs
Publication statusPublished - 7 Jul 2015

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