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平面半刚性钢框架静力弹塑性分析的QR法

QR-Method for the Static Elastic-Plastic Analysis of Plane Steel Frame with Semi-Rigid Connection

【作者】 余兴

【导师】 李秀梅;

【作者基本信息】 广西大学 , 结构工程, 2008, 硕士

【摘要】 钢框架梁柱连接节点的性能直接影响结构的侧移及内力,传统的钢结构设计中,梁和柱的连接一般假设为完全刚接或理想铰接,大量的试验研究表明,实际使用的连接都是介于完全刚接与理想铰接之间的半刚性连接。将半刚性连接简化为完全刚性连接将低估框架的侧移量而高估框架稳定极限承载力,使结构偏于不安全;而将半刚性连接简化为理想的铰接将使结构设计偏于保守,增加钢材用量。为了更合理的进行钢结构设计,必须考虑结构梁柱半刚性连接的影响。本文对平面半刚性连接钢框架进行了研究,根据大位移小变形理论,采用梁柱法和稳定函数推导了梁柱结构考虑几何非线性、材料非线性及梁柱半刚性连接时的单元刚度矩阵,并用Kishi-Chen幂函数模型描述半刚性连接的特性。本文采用QR法研究了平面钢框架考虑几何、材料、半刚性连接三重非线性的静力问题,建立了QR法的计算格式,并采用C语言编制了相应的计算程序,用典型算例的程序计算结果分析了各种非线性因素对结构的影响。结果分析表明,结构的几何非线性、材料非线性及半刚性连接相互影响,增加了结构的侧移,并对结构的内力分布及延性产生较大影响,同时降低了结构的极限承载力。本文QR法和有限元相对比,结果精度好、未知量数目少、刚度矩阵的计算过程更为简便。

【Abstract】 The performance of beam-column connections in steel frame affects directly the sideways and internal forces of the frame. In the traditional steel structure design, beams and columns generally were assumed to be fully rigid connected or hinged ideally. Extensive tests and studies show that all connections of the steel structures in practice are between fully rigid and ideal pinned link and belong to semi-rigid connections. If the semi-rigid connections are simplified fully rigid connections, the sideways of the frame will be underestimated, the ultimate load-carrying capacity will be magnified, and the structure will lean to unsafe. If the semi-rigid connections are simplified ideal pinned connections, the design will be conservative, and the consumption of steel will increase. In order to make the design of steel frame more reasonable, the effect of semi-rigid connections must be taken account of.This paper studies the plane semi-rigid connections steel frame, according to the big displacement theory under small deformation, uses the theory of beam-to-column and stability function to derive the element stiffness matrix which considers geometric nonlinearity, the material nonlinearity and the beam-column semi-rigid connection, and using Kishi-Chen power function to describe the nonlinear behavior of semi-rigid connections.This paper use the QR method to study the static analysis of plane steel frame which considers triple non-linearity, has established the QR method computational scheme, has edited the corresponding computational programs by C programming language, has analyzed the influence to the structure of each kind of nonlinear factor by the program computation result of typical examples. Analysis shows that the geometry nonlinearity, the material nonlinearity and the semi-rigid connection mutual influence, and increase the sideways of the frame, influence the structure internal force and ductility, while reducing the ultimate bearing capacity. Compared with the traditional finite element method, this QR method has its advantages, such as high precision, fewer unknown quantity, and simple computational scheme.

  • 【网络出版投稿人】 广西大学
  • 【网络出版年期】2009年 01期
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