Gap detection in the spectrum of an elastic periodic waveguide with a free surface |
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Authors: | S A Nazarov |
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Institution: | (1) Institute of Mechanical Engineering Problems, Russian Academy of Sciences, Vasil’evskii Ostrov, Bol’shoi pr. 61, St. Petersburg, 199178, Russia |
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Abstract: | A three-dimensional periodic elastic waveguide is constructed whose continuous spectrum (the frequencies that admit propagating waves) contains a gap, i.e., an interval that has its ends in the continuous spectrum but contains at most a discrete spectrum. The waveguide consists of an infinite chain of massive bodies connected by short thin links, and its surface is assumed to be free. The method for detecting a gap also applies to plane problems, including scalar ones. Periodic elastic waveguides with different shapes or contrasting properties are indicated in which a gap can also be detected. |
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Keywords: | three-dimensional periodic waveguides gap in an eigenvalue spectrum Floquet waves elasticity problems |
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