2 research outputs found
Numerical investigation of Rayleigh waves in layered composite piezoelectric structures using the SIGA-PML approach
Existence of surface acoustic waves(SAW) on a piezoelectric layer with the half-infinite elastic layer is investigated. This structure belongs to an open waveguide with the unbounded boundary in the transverse direction. Except for trapped modes, leaky modes have often been considered in SAW applications, which requires waves of low attenuation in order to maximize the propagation distance. Therefore, we develop an another formulation of piezoelectric layer structures for the computation of trapped and leaky modes in open waveguides. This method combines the so-called semi-analytical isogeometric analysis and a perfectly matched layer technique (SIGA-PML). The comparison between semi-analytical finite element (SAFE-PML) and SIGA-PML is given, in order to show the effective and accuracy of SIGA-PML. Finally, we analyze propagation properties of Rayleigh waves and discuss the impact of the thickness of Cu films on the dispersive relationships
A recursive approach for the finite element computation of waveguides
The finite element computation of structures such as waveguides can lead to
heavy computations when the length of the structure is large compared to the
wavelength. Such waveguides can in fact be seen as one-dimensional periodic
structures. In this paper a simple recursive method is presented to compute the
global dynamic stiffness matrix of finite periodic structures. This allows to
get frequency response functions with a small amount of computations. Examples
are presented to show that the computing time is of order where
is the number of periods of the waveguide