TY - JOUR
T1 - An overview of elastic waveguides with dynamic sub-structures
AU - Slepyan, Leonid
AU - Movchan, Alexander B.
N1 - Publisher Copyright:
© 2022 The Authors.
PY - 2022/11/28
Y1 - 2022/11/28
N2 - The dynamic response of elastic waveguides is important for a wide range of applications that involve dispersive waves as well as wave localization. In particular, a case of special interest relates to waveguides subjected to moving loads. In the case where the elongated structure includes a sequence of built-in resonators, the range of resonance regimes may be extended accordingly. The present paper gives an overview of several mathematical formulations that connect Floquet theory to the dynamic response of multi-scale waveguides, which include inertial sub-structures subjected to external forces. This article is part of the theme issue 'Wave generation and transmission in multi-scale complex media and structured metamaterials (part 2)'.
AB - The dynamic response of elastic waveguides is important for a wide range of applications that involve dispersive waves as well as wave localization. In particular, a case of special interest relates to waveguides subjected to moving loads. In the case where the elongated structure includes a sequence of built-in resonators, the range of resonance regimes may be extended accordingly. The present paper gives an overview of several mathematical formulations that connect Floquet theory to the dynamic response of multi-scale waveguides, which include inertial sub-structures subjected to external forces. This article is part of the theme issue 'Wave generation and transmission in multi-scale complex media and structured metamaterials (part 2)'.
KW - Floquet waves
KW - dispersion
KW - resonant wave
KW - structured waveguide
UR - http://www.scopus.com/inward/record.url?scp=85139418072&partnerID=8YFLogxK
U2 - 10.1098/rsta.2021.0381
DO - 10.1098/rsta.2021.0381
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C2 - 36209812
AN - SCOPUS:85139418072
SN - 1364-503X
VL - 380
JO - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
IS - 2237
M1 - 20210381
ER -