刘书会¹，  刘书贤²，  魏晓刚²，  魏亚强³
    （1 辽宁省阜新公路学校桥梁教研室，阜新123000；2 辽宁工程技术大学建筑工程学院，阜新123000；3郑州交通职业学院交通工程系，郑州450000）

[摘要] 钢管混凝土结构的理论研究由于钢材和混凝土的本构关系、屈服准则等尚未统一，试验分析因为边界条件、尺寸效应、加载方法误差等的存在，加之节点区应力复杂，一般处于压、剪、弯复合应力状态，很难按照经典的数学和力学模型进行统一度量并加以分析研究，无法真实反映现实钢管混凝土结构梁柱加强环中节点在动力荷载作用下的状态。基于此，采用模糊数学中的模糊有限元的基本原理和方法，利用有限元软件ANSYS建立了钢管混凝土梁柱加强环中节点有限元模型，在模糊数学中截集定理的基础上，通过改变截集A值来实现钢管混凝土柱端不同的约束，实现了比较符合实际情况的柱端约束，并对其在动力荷载的工作性能进行了综合分析和判断，算例分析结果表明所建立的模糊有限元计算模型可以用于节点区的受力性能分析，可以为钢管混凝土梁柱节点的设计和施工提供一定的参考价值和指导意义。
[关键词] 钢管混凝土；模糊有限元；抗晨性能；截集
中图分类号：TU398.7    文献标识码：A  文章编号：1002-848X(2011) S2-0211-04

    Finite element analysis on joints of CFST beam-column based on fuzzy mathematics
    Liu Shuhui¹,  Liu Shuxian²,  Wei Xiaogang²,  Wei Yaqiang³
    (1 Bridge Department, Fuxin Highway School, Fuxin 123000, China; 2 College of Civil Engineering and Architecture, Liaoning Technical University, Fuxin 123000, China; 3 College of Zhengzhou Transportation, Zhengzhou 450000, China)

Abstract: The theory about the joints of concrete-filled steel tube beam-column is imperfect, and especially the imperfect dynamic performance of the joint needs much further study. Now the theoretical research about the constitutive relation between the steel and concrete is inconsistent, and so do the yield criterion. According to the classical mathematical and mechanical model, the research of experiments cannot be done because of the error of the boundary conditions, the size effect, the loading method and so on. Besides these, the stress which is complex cannot be ignored. As the factors exist, we cannot leam about the knowledge of the joints which were tested by the reactions in the effect of the dynamical load. Considering these factors, finite element analysis on the seismic behavior of the joint of new type of concrete-filled steel tubes was carried out based on fuzzy mathematics; and the analysis of joints of concrete-filled steel tube beam-column, through changing the valuables of cut sets A, the different side constraints of joints of CFST can be achieved by ANSYS software. The results of the example analysis show that the finite element calculation model based on fuzzy mathematics is suited for the mechanical properties of the joints. The results were also compared with the data of experiment. It is a valuable method for design of joints of concrete-filled steel tubes beam-column.
Keywords: concrete-filled steel tube; finite element analysis; seisnuc behavior; cut sets