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Published in: Meccanica 1/2015

01-01-2015

Dispersion curves of 2D rods with complex cross-sections: double orthogonal polynomial approach

Authors: J. G. Yu, J. E. Lefebvre, Ch. Zhang, F. E. Ratolojanahary

Published in: Meccanica | Issue 1/2015

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Abstract

Orthogonal polynomial series approach has been used to analyze the guided wave propagation in structures for about 20 years. These structures have always one infinite dimension in the waveguiding direction and, sometimes a regular finite cross-section (axially infinite solid or hollow cylinder for instance) and mostly often an infinite cross-section (infinite flat plate or half-space for instance). This paper presents a double orthogonal polynomial approach to investigate guided wave propagation in structures with only one infinite dimension in the waveguiding direction and a finite but complicated cross-sectional geometries as, rectangular type, L-type, 工-type and 回-type cross-sections. Through a numerical comparison with results available in literature, the validity of the extended polynomial approach is illustrated for a specific geometry. The dispersion properties of guided waves in rods with complex cross-sections as mentioned above are discussed.

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Metadata
Title
Dispersion curves of 2D rods with complex cross-sections: double orthogonal polynomial approach
Authors
J. G. Yu
J. E. Lefebvre
Ch. Zhang
F. E. Ratolojanahary
Publication date
01-01-2015
Publisher
Springer Netherlands
Published in
Meccanica / Issue 1/2015
Print ISSN: 0025-6455
Electronic ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-014-0058-z

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