Journal article
Effects of corrugation shape on frequency band-gaps for longitudinal wave motion in a periodic elastic layer
The paper concerns determining frequency band-gaps for longitudinal wave motion in a periodic waveguide. The waveguide may be considered either as an elastic layer with variable thickness or as a rod with variable cross section. As a result, widths and locations of all frequency band-gaps are determined by means of the method of varying amplitudes.
For the general symmetric corrugation shape, the width of each odd band-gap is controlled only by one harmonic in the corrugation series with its number being equal to the number of the band-gap. Widths of even band-gaps, however, are influenced by all the harmonics involved in the corrugation series, so that the lower frequency band-gaps can emerge.
These are band-gaps located below the frequency corresponding to the lowest harmonic in the corrugation series. For the general non-symmetric corrugation shape, the mth band-gap is controlled only by one, the mth, harmonic in the corrugation series. The revealed insights into the mechanism of band-gap formation can be used to predict locations and widths of all frequency band-gaps featured by any corrugation shape.
These insights are general and can be valid also for other types of wave motion in periodic structures, e.g., transverse or torsional vibration.
Language: | English |
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Publisher: | Acoustical Society of America |
Year: | 2016 |
Pages: | 1898-1908 |
ISSN: | 15208524 , 01630962 and 00014966 |
Types: | Journal article |
DOI: | 10.1121/1.4945988 |
ORCIDs: | Sorokin, Vladislav |