Large displacement elastic analysis of planar steel frames with flexible beam-to-column connections under static loads by corotational beam-column element

N. Hải, Doan Ngoc Tinh Nghiem, L. Binh, L. Tin, Ngo-Huu Cuong
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引用次数: 2

Abstract

This paper presents the elastic large-displacement analysis of planar steel frames with flexible connections under static loads. A corotational beam-column element is established to derive the element stiffness matrix considering the effects of axial force on bending moment (P-Δ effect), the additional axial strain caused by end rotations and the nonlinear moment – rotation relationship of beam-to-column connections. A structural nonlinear analysis program is developed by MATLAB programming language based on the modified spherical arc-length algorithm in combination with the sign of displacement internal product to automate the analysis process. The obtained numerical results are compared with those from previous studies to prove the effectiveness and reliability of the proposed element and program.
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静力荷载作用下具有柔性梁柱连接的平面钢框架大位移弹性分析
本文研究了平面柔性连接钢框架在静荷载作用下的弹性大位移分析。考虑轴向力对弯矩的影响(P-Δ效应)、端部转动引起的附加轴向应变以及梁柱连接的非线性弯矩-转动关系,建立梁柱旋转单元,推导单元刚度矩阵。基于改进的球面弧长算法,结合位移内积符号,利用MATLAB编程语言编写了结构非线性分析程序,实现了结构非线性分析过程的自动化。将所得到的数值结果与前人的研究结果进行了比较,验证了所提出的单元和程序的有效性和可靠性。
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