半刚性节点钢框架的可靠性分析
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摘要
在钢框架的设计和分析过程中,杆件的实际连接特性模型是一个重要的部分,连接性能直接影响钢框架在荷载作用下的整体行为。传统的分析理论总是将钢框架的杆件连接假设成完全刚接和理想铰接,这种理想化的假设大大地简化了钢框架的分析和设计过程,但是基于该假定的结构设计要么偏于保守要么不安全。本文对钢框架的梁柱连接采用介于上述两种节点之间的半刚性连接,以转动弹簧模拟柔性连接。在半刚性节点特性分析的基础上,考虑了钢框架的P—△效应,建立了半刚性节点力学分析模型。
根据钢架安全裕度自动生成原理,建立半刚性钢框架的安全裕度方程,寻找钢框架主要失效模式,最后采用考虑了失效模式之间相关性的PNET方法计算结构系统的失效概率,通过计算实例计算,说明了连接刚度对钢框架体系可靠度的影响。本文方法和Monte Carlo法的计算结果进行了比较,证明了这种方法在求解钢框架结构可靠度问题时的可行性,并为以后基于可靠性分析的优化设计方法研究提供有价值的参考。
The realistic modeling of beam connections is an important part during the analysis and design of steel frame. The connection character directly affects the total behavior of steel frame with load added. The behavior of beam connections is treated as either pinned of rigid joints entirely in conventional steel frame analysis.These idealized assumptions predigest the analysis and design of steel frame consumedly,but they could induce insecurity or conservative design. In this paper, we consider the precise analysis of connections that could be gained by the concept of semi—rigid and turn spring. Base on the characteristic analysis of semi-grid node. The p—△effect of steel frame is considered and establishes mechanics analysis models of semi-grid node.
According with theory of automate produce steel frame safty richness. Establish safty richness equation of semi-grid. We consider the correlation of failure modes and use PNET Method caculate steel frame reliability at the last. By calculating results of several examples for steel frame in semi-rigid joints case show the change of joint stiffness and other kinds of factors affect the system reliability of semi-rigid steel frames. Through compare the result of the PNET Method and Monte Carlo Method, It prove feasibility in calculate the reliability analysis of semi-rigid node steel frame. It is also provided availability reference based on the reliability optimizes design.
根据钢架安全裕度自动生成原理,建立半刚性钢框架的安全裕度方程,寻找钢框架主要失效模式,最后采用考虑了失效模式之间相关性的PNET方法计算结构系统的失效概率,通过计算实例计算,说明了连接刚度对钢框架体系可靠度的影响。本文方法和Monte Carlo法的计算结果进行了比较,证明了这种方法在求解钢框架结构可靠度问题时的可行性,并为以后基于可靠性分析的优化设计方法研究提供有价值的参考。
The realistic modeling of beam connections is an important part during the analysis and design of steel frame. The connection character directly affects the total behavior of steel frame with load added. The behavior of beam connections is treated as either pinned of rigid joints entirely in conventional steel frame analysis.These idealized assumptions predigest the analysis and design of steel frame consumedly,but they could induce insecurity or conservative design. In this paper, we consider the precise analysis of connections that could be gained by the concept of semi—rigid and turn spring. Base on the characteristic analysis of semi-grid node. The p—△effect of steel frame is considered and establishes mechanics analysis models of semi-grid node.
According with theory of automate produce steel frame safty richness. Establish safty richness equation of semi-grid. We consider the correlation of failure modes and use PNET Method caculate steel frame reliability at the last. By calculating results of several examples for steel frame in semi-rigid joints case show the change of joint stiffness and other kinds of factors affect the system reliability of semi-rigid steel frames. Through compare the result of the PNET Method and Monte Carlo Method, It prove feasibility in calculate the reliability analysis of semi-rigid node steel frame. It is also provided availability reference based on the reliability optimizes design.
引文
[1] Chen WF, Lui EM, Stability design of steel steel frames, CRC Press Inc, 1991
[2] Kishi N,Chen WF, Goto Y, Matsuoka KG, Design aid of semi—rigid connections for steel frame analysis,Eng J, AISC 1993,30(3):90~107
[3]赵国藩,张宽权等.工程结构可靠度[M].北京:水利水电出版社,1984
[4]Chen, W.F., Goto.Y. J.Y.R.Liew,Stability design of semi—rigid steel frames,1996
[5] Chen W.F., Toma, S., Advanced analysis of steel steel frames, 1994
[6] Chen W.F., Kim, S.E., LRFD Steel design using advanced analysis, 1997
[7]Thoft-Christensen P.MurotsuY.Application of sructural Systems Reliability Theory[M].Berlin,:IIeidelbern,NewYorkTokyo:Sprinner Yerlan, 1986 215~265.
[8]Xu L,Grierson D.E.,Computer automated design of semi—rigid steel steel frameworks,J.Struct.Eng.,ACSE 119,1993:1740~1760
[9]方小安,胡云昌,结构可靠性可靠性分析的分枝—界约法,中国造船1996,000(002),35~38
[10]陈绍藩,钢结构设计原理(第二版),北京:科学出版社, 1998
[11]中华人民共和国建设部,GB50017—2003,钢结构设计规范,中国计划出版社,北京,2003—12—1
[12]Kim Y., Chen W.F., Practical analysis for partially restrained steel frame design, J.Struct.Eng. ACSE 124, 1998:736~749
[13]Frye M.J., Morris G.A., Analysis of flexibly connected steel steel frames, Can.J.Civ.Eng 2, 1975:280~291
[14]秦权.随机有限元及其进展II:可靠度随机有限元和随机有限元的应用,北京:国防工业出版社,1999
[15]朱伯芳,黎展眉,张壁成,结构可靠性分析原理与应用,北京:水利电力出版社,1984
[16]程耿东,工程结构可靠性分析基础,北京:水利电力出版社,1983
[17]吕震宙,冯元生.结构刚度可靠性分析方法,航空学报,1994
[18]郭振邦,胡云昌,结构系统可靠性分析原理及应用,天津:天津大学出版社, 1991
[19]吴世伟.结构可靠度分析.北京:交通出版社,1988
[20]赵国藩,曹居易,张宽权.工程结构可靠度.北京:水利电力出版社,1984
[21]何水清,王善编著.结构可靠性分析与设计.北京:国防工业出版社,1993
[22]Hasofer A H, Lind N C. Exact and invariant Second Moment Format, Journal of the Engineering Mechanics Division, ASCE, 1974, Vo1.100:111一121
[23]吕烈武,沈世钊,沈祖炎等.钢结构构件稳定理论.北京:中国建筑工业出版社,1983
[24]董聪.系统可靠性理论与工程.博士后研究工作报告,1995
[25]余建星,郭振邦,徐慧,黄衍顺.船舶与海洋结构物可靠性原理.天津:天津大学出版社,2001
[26]刘刚,郑云龙.非线性刚架系统可靠性分析.工程力学增刊,1999
[27]龙驭球,包世华.结构力学教程.高等教育出版社,1987
[28]Ditlevsen0, Narrow Reliability Bounds for Structural Systems ,J.Struct.Mech.,1979,7(4):453~472
[29]冯元生.结构体系可靠性研究.中国机械下程,1992 (5)
[30]叶钟,程心恕,半刚性连接的钢框架的体系可靠度的分析,2003
[2] Kishi N,Chen WF, Goto Y, Matsuoka KG, Design aid of semi—rigid connections for steel frame analysis,Eng J, AISC 1993,30(3):90~107
[3]赵国藩,张宽权等.工程结构可靠度[M].北京:水利水电出版社,1984
[4]Chen, W.F., Goto.Y. J.Y.R.Liew,Stability design of semi—rigid steel frames,1996
[5] Chen W.F., Toma, S., Advanced analysis of steel steel frames, 1994
[6] Chen W.F., Kim, S.E., LRFD Steel design using advanced analysis, 1997
[7]Thoft-Christensen P.MurotsuY.Application of sructural Systems Reliability Theory[M].Berlin,:IIeidelbern,NewYorkTokyo:Sprinner Yerlan, 1986 215~265.
[8]Xu L,Grierson D.E.,Computer automated design of semi—rigid steel steel frameworks,J.Struct.Eng.,ACSE 119,1993:1740~1760
[9]方小安,胡云昌,结构可靠性可靠性分析的分枝—界约法,中国造船1996,000(002),35~38
[10]陈绍藩,钢结构设计原理(第二版),北京:科学出版社, 1998
[11]中华人民共和国建设部,GB50017—2003,钢结构设计规范,中国计划出版社,北京,2003—12—1
[12]Kim Y., Chen W.F., Practical analysis for partially restrained steel frame design, J.Struct.Eng. ACSE 124, 1998:736~749
[13]Frye M.J., Morris G.A., Analysis of flexibly connected steel steel frames, Can.J.Civ.Eng 2, 1975:280~291
[14]秦权.随机有限元及其进展II:可靠度随机有限元和随机有限元的应用,北京:国防工业出版社,1999
[15]朱伯芳,黎展眉,张壁成,结构可靠性分析原理与应用,北京:水利电力出版社,1984
[16]程耿东,工程结构可靠性分析基础,北京:水利电力出版社,1983
[17]吕震宙,冯元生.结构刚度可靠性分析方法,航空学报,1994
[18]郭振邦,胡云昌,结构系统可靠性分析原理及应用,天津:天津大学出版社, 1991
[19]吴世伟.结构可靠度分析.北京:交通出版社,1988
[20]赵国藩,曹居易,张宽权.工程结构可靠度.北京:水利电力出版社,1984
[21]何水清,王善编著.结构可靠性分析与设计.北京:国防工业出版社,1993
[22]Hasofer A H, Lind N C. Exact and invariant Second Moment Format, Journal of the Engineering Mechanics Division, ASCE, 1974, Vo1.100:111一121
[23]吕烈武,沈世钊,沈祖炎等.钢结构构件稳定理论.北京:中国建筑工业出版社,1983
[24]董聪.系统可靠性理论与工程.博士后研究工作报告,1995
[25]余建星,郭振邦,徐慧,黄衍顺.船舶与海洋结构物可靠性原理.天津:天津大学出版社,2001
[26]刘刚,郑云龙.非线性刚架系统可靠性分析.工程力学增刊,1999
[27]龙驭球,包世华.结构力学教程.高等教育出版社,1987
[28]Ditlevsen0, Narrow Reliability Bounds for Structural Systems ,J.Struct.Mech.,1979,7(4):453~472
[29]冯元生.结构体系可靠性研究.中国机械下程,1992 (5)
[30]叶钟,程心恕,半刚性连接的钢框架的体系可靠度的分析,2003