The Generalized Finite Element Method applied to dynamic transient analysis of Euler-Bernoulli beams
Debella, L. B. C.1; Arndt, M.1; Machado, R. D.1
1 UFPR
doi:10.20906/CPS/CILAMCE2017-0198
Resumo
The Finite Element Method (FEM), although widely used as an approximate solution method, has some limitations when applied in dynamic analysis. As the loads excite the high frequencies and modes, the method may lose precision. To improve the representation of these high frequency modes, the Generalized Finite Element Method (GFEM) is used to enrich the approach space with appropriate functions according to the problem under study. Although the GFEM has proven to be efficient in dynamic analysis of structures, there are still some issues to be analyzed. In this context, the present work presents an alternative to improve the numerical response of the structure obtained by GFEM, condensing the modal matrix and eliminating from it the modes of vibration with bad approximation. The proposal was particularized for a Euler-Bernoulli beam element, and the results showed that the technique improves the transient response, and does not affect the computational cost of the method itself.
Palavras-chave: dynamic analysis; FEM; GFEM