Basic Concept of the Beam Wave based Element for Mid and High Frequency Analysis

Abstract

This paper describes a Hermite beam wave based element of the steady-state dynamic response of a 1D structure system. This study focuses on the development of beam wave based elements. Compared with standard piecewise polynomial approximation, the wave basis is shown to give a considerable reduction in computational degrees of freedom. In practical terms, it is concluded that the degrees of freedom for which accurate results can be obtained, using these new techniques, can be up to half of that of the conventional finite-element method.