（华南理工大学土木与交通学院， 广州 510640）

［摘要］目前钢结构节点初始转动刚度的理论计算方法主要是欧洲规范（EC3）中提出的组件法。基于带横向加劲肋的梁柱钢节点，结合组件法，将带加劲肋的T型件视为一个新的组件——十字型件进行分析。通过十字型件与T型件的对比分析，明确了十字型件性能分析的必要性，给出其在组件法中的适用条件。设置析因实验来给出影响十字型件初始刚度的各个因素，同时分析各个因素之间的交互效应。基于固支梁模型，提出十字型件初始刚度理论计算公式，同时结合有限元分析和蒙特卡罗模拟，对该理论公式进行检验。最后，根据析因实验和蒙特卡罗模拟计算的结果，给出了计算准确度更高、应用更为简便的十字型件刚度经验公式。

［关键词］组件法； 十字型件； 析因实验； 蒙特卡罗法； 有限元分析

中图分类号：TU392文献标识码：A文章编号：1002-848X(2019)12-0073-06

Analysis of cruciform-stub stiffness based on Monte Carlo method

Wang Zhan, Yuan Hui, Chen Shizhe

(School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, China)

Abstract:At present, the theoretical calculation method of the initial rotational stiffness of steel structure is mainly the component method proposed by Eourcode3(EC3). Based on steel  beam-column joints with transverse stiffeners, combined with the component method, T-stub with stiffeners was analyzed as a new type of component—cruciform-stub. Through the comparative analysis between cruciform-stub and T-stub, the necessity of the cruciform-stub performance analysis was explicated, and the applicable conditions of cruciform-stubs in the component method were obtained. Factorial experiments were adopted to obtain the factors that affect the initial stiffness of cruciform-stubs, and the interaction effect between the various factors was analyzed. Based on the clamped beam model, the theoretical formula for calculating the initial stiffness of the cruciform-stub was proposed. Combined with finite element analysis and Monte Carlo simulation, the theoretical formula was validated. Finally, according to the results of factorial experiment and Monte Carlo simulation, a new empirical formula for the stiffness of cruciform-stub with higher caculation accuracy and easier application  was proposed.

Keywords:component method; cruciform-stub; factorial experiment; Monte Carlo method; finite element analysis

*国家自然科学基金资助项目(51778241, 51708226, 51378009, 51378219, 51638009),中央高校基本科研业务费专项资金资助项目(2017BQ086; 2017ZD026),亚热带建筑科学国家重点实验室基金资助项目(2018ZB35, 2017ZB28, 2017KD22)。

作者简介：王湛，博士，教授，博士生导师，Email: wangzhan@scut.edu.cn。