Método dos mínimos quadrados na utilização de curvas momento-rotação na análise de pórticos planos semirrígidos

[摘要] Usually, in the development of projects, it is assumed that the behavior of the connections between the beam-column of the system is idealized through two extremes: the flexible connections in which no moment is transmitted between the column and the beam and these elements are behave independently; and the fully rigid connections in which full moment transmission occurs. However, in real structures, experimental investigations have shown that most connections should be treated as semi-rigid connections. This behavior is described by means of moment-rotation curves, which, in turn, must be incorporated into the structural analysis in order to obtain more accurate information about the performance of the connection. Therefore, this article presents the application of the method of Ordinary Least Squares for the simulation of the semi-rigid behavior of connections of metallic plane optics. Through coupling with a numerical-computational model for prediction of frames with geometric nonlinear behavior and semi-rigid connections. For this purpose, the Corrotational Finite Element formulation is used, considering the Euler-Bernoulli beam theory. The connection between the structural members is simulated by a hybrid element. The system of nonlinear equations is solved by the incremental-iterative procedure of Potra Pták, associated with the Cylindrical Arc Length technique. Four structures found in the literature are analyzed, when compared, it is possible to affirm that the proposed method presented excellent results, faithfully representing the equilibrium path of the structure considering the deterioration of the connection.

[学科分类] 工程和技术（综合）

[关键词] Semi-rigid connections;Corrotational Formulation;Potra-Pták Method;Co-rotational formulation