Building Spectral Elements from Finite Element Models of Waveguide Slices

摘要

In this paper it is shown that from a slice of the waveguide modeled with solid finite elements it is possible to develop spectral finite elements to be used in long homogeneous waveguides without the need of mesh refinement. Such elements can be used to model waveguides with constant cross section and long spans. The dynamic stiffness matrix of a simple rod element obtained using the standard spectral formulation and obtained via the FE model of a slice are shown to be similar, thus validating the proposed method. This approach may be used to generate spectral elements of waveguides of arbitrary cross section.