Análise estática e dinâmica de pórticos planos com o uso da formulação corrotacional

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Data

2018-10-22

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Editor

Universidade Federal de Goiás

Resumo

This research presents a survey of the corrotational kinematic description applied to the Finite Element Method for 2D beam element, based on the Euler-Benoulli beam hypothesis, with the purpose to handle the effects of geometric non-linearity in the behavior of structures. In order to complete this survey two Matlab\textregistered programs were implemented in the finite element method based on the kinematic description presented in this research. The first one was to static analysis, denominated PPNLG, and the second one to dynamic analysis, denominated PPNLD . In relation of the field of static analysis, the method of load displacement control was the cylindrical arch length method. To the dynamic analysis, the method used to solve the systems of nonlinear differential equations was the implicit direct integration method of Newmark. Both programs were successfully validated when comparing the results obtained in numerical examples with the results obtained by other bibliographies.

Descrição

Palavras-chave

Descrição corrotacional, Análise não-linear geométrica, Elemento de viga 2D, Pórtico plano, Corotational formulation, Geometrica nonlinear analysis, 2D beam element, Planar frames

Citação

CUNHA, J. P. F. B. Análise estática e dinâmica de pórticos planos com o uso da formulação corrotacional. 2018. 109 f. Dissertação (Mestrado em Modelagem e Otimização) - Universidade Federal de Goiás, Catalão, 2018.