Phononic crystals show novel characteristics when it comes to acoustic and elastic wave
propagation control. Nevertheless, most studies on phononic crystals are based on a plane …

Objective Periodic configuration of mechanical and civil structures has shown great potential
for noise and vibration reduction. However, the use of Cartesian coordinates in studying …

The suppression of vibration and sound radiation of thin plates has always been a concern
in engineering fields such as aerospace, transportation, etc. The rainbow effect refers to that …

In many practical engineering situations, a source of vibrations may excite a large and
flexible structure such as a ship's deck, an aeroplane fuselage, a satellite antenna, a wall …

Locally resonant materials allow for wave propagation control in the subwavelength regime.
Even though these materials do not need periodicity, they are usually designed as periodic …

Structures with specific graded geometries or properties can cause spatial separation and
local field enhancement of wave energy. This phenomenon is called rainbow trapping …

Floquet theory is a classical tool for the analysis of periodic structures' acoustics. However, it
may be challenging to analyze material properties for complex cases, whereas the …

The calculation of high-frequency wave radiation in exterior domains by finite element
methods can lead to large computations. In this paper, it is shown that the solution in the …

In this paper, a generalised approximated approach to study wave propagation in structures
that exhibit radial and/or circumferential periodicity is presented. Only a circular sector of the …

A modified formulation of Floquet propagator is proposed to analyze free wave motion in
homogeneous and periodic waveguides both in the Cartesian and in the polar coordinates …