（1 同济大学土木工程防灾国家重点实验室，上海 200092； 2 同济大学土木工程学院，上海 200092）

［摘要］以最简形式的功能函数描述平面屈曲约束支撑钢框架在静力荷载作用下的体系极限承载力状态，利用对偶变数抽样法与指数多项式近似概率密度法对结构整体抗力的概率密度函数及其统计特征进行了估计。考虑两种基本荷载组合，在对平面屈曲约束支撑钢框架结构整体可靠度评价的基础上，给出了在一定目标可靠度下的基于结构体系极限承载力可靠度的实用设计公式。通过一个具体算例表明，该设计方法既比传统的基于构件可靠度的设计方法经济，又能保证结构体系的可靠度。

［关键词］屈曲约束支撑；钢框架；整体可靠度；目标可靠度；实用设计方法

中图分类号：TU3915文献标识码：A文章编号：1002-848X(2011)08-0068-04

Integrated reliability design of planar steel frames with buckling restrained braces based on ultimate bearing capacity

Li Guoqiang^1,2, Guo Xiaokang²(1 State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China;2 College of Civil Engineering, Tongji University, Shanghai 200092, China)

Abstract:Based on the simplest performance function, the limit bearing capacity state of planar steel frames with buckling restrained braces was described under static loads. The probability density function and statistical characteristics of the system resistance were estimated by using antithetic variable sampling method and exponential polynomial approximation of probability density method. Considering two basic types of load combinations, the practical design method was proposed to achieve a target reliability index of the system resistance based on the assessment of system reliability. The proposed method was proved  to be more economical and rational than the traditional method through a design example.

Keywords:buckling restrained brace; steel frame; integrated reliability; target reliability; practical design method

作者简介：李国强，教授，Email：gqli@tongji.edu.cn。

参考文献

［1］LI JINJUN, LI GUOQIANG Reliability based integrated design of steel portal frames with tapered members［J］. Structural Safety, 2004,26(2):221\|239.

［2］刘玉姝.平面钢框架结构非线性分析及整体可靠度设计［J］. 同济大学学报, 2005,33(8):1017\|1026.

［3］宁风,包联进,徐小华. 结构抗震新技术在世博永久建筑工程中的应用［J］.建筑结构，2011,41(3):36\|39.

［4］刘晴云,闫锋,汪大绥,等.屈曲约束支撑在磁浮虹桥站结构设计中的应用［J］.建筑钢结构进展,2009,11(4):27\|34.

［5］刘玉姝.平面钢框架结构非线性分析及整体可靠度设计理论研究［D］.上海: 同济大学, 2004.

［6］李进军. 变截面门式钢刚架非线性分析及整体可靠度设计理论研究［D］.上海: 同济大学，2001.

［7］AYYUB B M, HALDAR A. Practical structural reliability techniques［J］. Journal of Structural Engineering, 1984,110(8):1701\|1724.

［8］ER G K. A method for multi-parameter PDF estimation of random variables［J］. Structural Safety, 1998,20(1):25-36.

［9］李继华. 建筑结构概率极限状态设计［M］.北京:中国建筑工业出版社, 1990.