Dispersion Curves Computation for Waveguides Buried in Infinite Space by Semi-Analytical Finite Element Method

Ultrafast Wave Finite Element Method for the computation of dispersion properties in periodic viscoelastic waveguides

Abstract In this work a procedure to compute the dispersion curves for one dimensional viscoelastic waveguides exploiting the finite element based global mass matrix and complex stiffness matrix is proposed. The global matrices of a finite length portion of the waveguide, the unit cell, are post-processed by enforcing Bloch-type boundary conditions along the wave propagation direction and next ...

Application of Dynamic Analysis in Semi-Analytical Finite Element Method

Analyses of dynamic responses are significantly important for the design, maintenance and rehabilitation of asphalt pavement. In order to evaluate the dynamic responses of asphalt pavement under moving loads, a specific computational program, SAFEM, was developed based on a semi-analytical finite element method. This method is three-dimensional and only requires a two-dimensional FE discretizat...

The Finite Element Method for Infinite Domains

Numerical methods (finite element methods) for the approximate solution of elliptic partial differential equations on unbounded domains are considered, and error bounds, with respect to the number of unknowns which have to be determined, are proven.

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 freque...

Semi-Analytical Finite Element Analysis of the Influence of Axial Loads on Elastic Waveguides