Dynamic interfacial trapping of flexural waves in structured plates

TL;DR

This paper investigates how flexural waves localize and transmit at interfaces in structured plates with rigid pin arrays, revealing new surface wave phenomena and connections to Bloch wave dispersion.

Contribution

It introduces a novel analysis of surface waves at the interface of structured plates and links these to the dispersion of Bloch waves in periodic pin arrays.

Findings

Identification of surface waves at the interface boundary.

Connection between interface waves and Bloch wave dispersion.

Discovery of unique solutions in a single half-grating problem.

Abstract

The paper presents new results on localisation and transmission of flexural waves in a structured plate containing a semi-infinite two-dimensional array of rigid pins. In particular, surface waves are identified and studied at the interface boundary between the homogeneous part of the flexural plate and the part occupied by rigid pins. A formal connection has been made with the dispersion properties of flexural Bloch waves in an infinite doubly periodic array of rigid pins. Special attention is given to regimes corresponding to standing waves of different types as well as Dirac-like points, that may occur on the dispersion surfaces. A single half-grating problem, hitherto unreported in the literature, is also shown to bring interesting solutions.