An overview of elastic waveguides with dynamic sub-structures. (28th November 2022)

• Record Type: Journal Article
• Authors: Slepyan, Leonid; Movchan, Alexander B.
• Is Part Of: Philosophical transactions. Volume 380:Number 2237(2022)
• Publication Date: 2022-11-28
• Subjects: Floquet waves -- dispersion -- resonant wave -- structured waveguide; Physical sciences -- Periodicals; Engineering -- Periodicals; Mathematics -- Periodicals; 500
• DOI: 10.1098/rsta.2021.0381
• Languages: English
• ISSNs: 1364-503X

Abstract

Abstract : 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)'.