We investigate the dynamic behavior and topology of quasiperiodic resonant
metastructures. We show that the quasiperiodic arrangement of resonators introduces …

We investigate a family of quasiperiodic continuous elastic beams, the topological properties
of their vibrational spectra, and their relation to the existence of localized modes. We …

Inspired by some recent results in elastodynamics of layered composites, we address here
the problem of an antiplane elastic wave obliquely incident at the interface between a …

In this paper we report on adiabatic pumping in quasiperiodic stiffness-modulated beams.
We show that distinct topological states populating nontrivial gaps can nucleate avoided …

Introducing an axis of reflection symmetry in a quasicrystal leads to the creation of localised
edge modes that can be used to build waveguides. We develop theory that characterises …

The dynamic behavior of the class of periodic waveguides whose unit cells are generated
through a quasicrystalline sequence can be interpreted geometrically in terms of a trace …

We present mathematical theory for self-similarity induced spectral gaps in the spectra of
systems generated by generalised Fibonacci tilings. Our results characterise super band …

This article focuses on characterizing a class of quasi-periodic metamaterials created
through the repeated arrangement of an elementary cell in a fixed direction. The elementary …

A doubly periodic geometric transformation is applied to the problem of out of plane shear
wave propagation in a doubly periodic perforated elastic medium. The technique leads to …

During the lifetime of nuclear power plants, irradiation and mechanical interactions can
cause permanent damage to their structural materials. In nuclear reactors, one of the most …