Open AccessLarge displacement elastic static analysis of semi-rigid planar steel frames by corotational Euler--Bernoulli finite element
Author(s) -
Nguyen Van Hai,
Le Van Binh,
Doan Ngoc Tinh Nghiem,
Ngo Huu Cuong
Publication year - 2019
Publication title -
science and technology in civil engineering
Language(s) - English
Resource type - Journals
eISSN - 2734-9268
pISSN - 1859-2996
DOI - 10.31814/stce.nuce2019-13(2)-03
Subject(s) - finite element method , context (archaeology) , displacement (psychology) , nonlinear system , bernoulli's principle , structural engineering , stiffness matrix , planar , mathematics , engineering , physics , computer science , psychology , computer graphics (images) , psychotherapist , paleontology , quantum mechanics , biology , aerospace engineering
A corotational finite element for large-displacement elastic analysis of semi-rigid planar steel frames is proposed in this paper. Two zero-length rotational springs are attached to the ends of the Euler-Bernoulli element formulated in corotational context to simulate the flexibility of the beam-to-column connections and then the equilibrium equations of the hybrid element, including the stiffness matrix which contains the stiffness terms of the rotational springs, are established based on the static condensation procedure. The linear and Kishi-Chen three-parameter power models are applied in modelling the moment-rotation relation of beam-column connections. The arc-length nonlinear algorithm combined with the sign of displacement internal product are used to predict the equilibrium paths of the system under static load. The analysis results are compared to previous studies to verify the accuracy and effectiveness of the proposed element and the applied nonlinear procedure.
Keywords: corotational context; Euler-Bernoulli element; large displacement; semi-rigid connection; steel frame; static analysis.