Finite element analysis of the vibrations of waveguides and periodic structures

A 2d Wave Finite Element-Based Superelement Formulation for Acoustic Analysis of Cavities of Arbitrary Shapes

“…It makes use of the wave finite element (WFE) method which aims at assessing numerical wave modes traveling along periodic systems [3,4,5]. Within this framework, a so-called hybrid WFE/FE superelement is formulated which consists in a rectangular acoustic domain, with a periodic FE mesh, surrounded by an arbitrary-meshed FE layer with a small width.…”

Infinite Periodic Structure of Lightweight Elements: Representation of Wave Propagation

“…The method is seen to yield accurate results for the wavenumbers and group velocities of both propagating and evanescent waves. Finite element analysis of the vibrations of waveguides and periodic structures was done by Duhamel, Mace and Brennan [7 ] where it was concluded that, point force responses for beams and plates showed the accuracy of the wave finite element approach when the size of the cell is small compared to a wavelength.…”

Detecting the position of non-linear component in periodic structures from the system responses to dual sinusoidal excitations

“…The real life systems which can be modelled as either finite or infinite, one-dimension or multi-dimension periodic structures range from the simple structures like periodically supported beams [1]~ [6], plates [5][6] and building block [7]. Analysis of the free and forced vibration and the mode analysis of linear periodic structures are of particular interests [1]- [6].…”