DYNAMIC ANALYSIS OF PLANE STEEL FRAMES WITH SEMI-RIGID CONNECTIONS BY THE GENERALIZED FINITE ELEMENT METHOD

Vinícius Hanser de Souza¹; Marcos Arndt¹

¹ Federal University of Paraná (UFPR)

doi:10.20906/CPS/CILAMCE2017-0466

Resumo

A structural analysis of plane steel frames assumes simplifying assumptions in the structural model, as the behavior of structural connections. They are generally supposed as a fully rigid connection or as an ideally pinned connection. In practice, all connections have relative rotation and connection moment, thus they are classified as semi-rigid connections. For dynamic analysis, only a few structural systems have known analytical solutions, so that approximate computational methods are indicated for the problem solution, like the Finite Element Method (FEM). Shape functions with polynomial terms are generally used in FEM, however in problems like as dynamic analysis of structures the solutions have non-polynomial terms, and the FEM become inaccurate in relation to the real behavior. The addition of non-polynomial functions in the approximate method can be performed with enriched methods like as the Generalized Finite Element Method (GFEM). Therefore, this work seeks to present how the semi-rigid connections are coupled to GFEM from two different formulations proposed by Chen and Lui (1991) and Chan and Chui (2000). The analyses will be performed by a code developed in the Maple® program. An example encountered in the literature will be modeled and the GFEM results will be compared with the literature results.

Palavras-chave: Semi-rigid connections; Dynamic analysis; Finite element method; Generalized finite element method