We study the flexural wave modes existing in finite stacks of gratings containing rigid, zero-
radius pins. We group the modes into even and odd classes, and derive dispersion …

In this paper, we compute the band structure for a pinned elastic plate which is constrained
at the points of a hexagonal lattice. Existing work on platonic crystals has been restricted to …

The paper includes novel results for the scattering and localization of a time-harmonic
flexural wave by a semi-infinite herringbone waveguide of rigid pins embedded within an …

The density of states, which measures the density of the spectrum, is evaluated for a platonic
crystal (periodically structured elastic plate) using the Green's function approach. Results …

This thesis discusses properties of flexural waves in thin elastic plates that incorporate a
structured system of gratings of defects. The defects may take the form of inclusions or …

The article combines the analytical models of scattering and Bloch waves for a stack of
periodic gratings in an infinite elastic plate. The waves represent flexural deflections of the …