半刚性连接钢框架静力分析的精细传递矩阵法
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摘要
针对半刚性连接钢框架对结构受力产生一定影响的问题,利用精细传递矩阵原理对其进行静力分析.采用三参数力学模型模拟半刚性连接梁柱节点的弯矩-转角性能,用螺旋弹簧模拟节点连接的半刚性.根据精细传递矩阵法原理和结构的平衡微分方程,推导了半刚性连接钢框架静力分析的精细传递矩阵,编制了相应的计算程序,并进行了算例计算.算例结果表明,该方法正确有效,可用于结构的初步设计和最终校核;梁柱连接的半刚性使结构的内力发生重分布,进行钢框架结构分析及设计时应考虑半刚性连接的影响.
Aiming at the problem that the steel frame with semi-rigid connection has certain influence on the force behavior of structures,the precise transfer matrix method was utilized to perform the static analysis on the steel frame.The moment-rotation behavior of beam-to-column joints with semi-rigid connection was simulated with a three-parameter mechanical model,and the semi-rigidity of the joint connection was simulated with helical springs.According to the principle of precise transfer matrix method and the equilibrium differential equation of structures,the precise transfer matrix for the static analysis on the steel frame with semi-rigid connection was derived.In addition,the corresponding calculation program was compiled,and some example calculation was carried out.The calculated results indicate that the proposed method is correct and efficient,and can be used for the initial design and final check-up of structures.The semi-rigidity of beam-to-column connection will make the internal force of structures redistribute.During the analysis or design of steel frame structures,the influence of semi-rigid connection should be considered.
Aiming at the problem that the steel frame with semi-rigid connection has certain influence on the force behavior of structures,the precise transfer matrix method was utilized to perform the static analysis on the steel frame.The moment-rotation behavior of beam-to-column joints with semi-rigid connection was simulated with a three-parameter mechanical model,and the semi-rigidity of the joint connection was simulated with helical springs.According to the principle of precise transfer matrix method and the equilibrium differential equation of structures,the precise transfer matrix for the static analysis on the steel frame with semi-rigid connection was derived.In addition,the corresponding calculation program was compiled,and some example calculation was carried out.The calculated results indicate that the proposed method is correct and efficient,and can be used for the initial design and final check-up of structures.The semi-rigidity of beam-to-column connection will make the internal force of structures redistribute.During the analysis or design of steel frame structures,the influence of semi-rigid connection should be considered.
引文
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[7]孙建鹏,李青宁.结构地震反应的频域精细传递矩阵法[J].世界地震工程,2010,26(1):131-136.(SUN Jian-peng,LI Qing-ning.Precise transfer matrixmethod for the earthquake response of structure in fre-quency domain[J].World Earthquake Engineering,2010,26(1):131-136.)
[8]孙建鹏,李青宁.求解结构自振频率的精细传递矩阵法[J].世界地震工程,2009,25(2):140-145.(SUN Jian-peng,LI Qing-ning.Precise transfer matrixmethod for resolving natural frequencies of structures[J].World Earthquake Engineering,2009,25(2):140-145.)
[9]孙建鹏,李青宁.曲线桥结构分析的精细传递矩阵法[J].应用力学学报,2010,27(1):196-199.(SUN Jian-peng,LI Qing-ning.Precise transfer matrixmethod for struture analysis of curved bridge[J].Chinese Journal of Applied Mechanics,2010,27(1):196-199.)
[10]陈惠发.钢框架稳定设计[M].上海:世界图书出版公司,1999.(CHEN Hui-fa.Stability design of steel frames[M].Shanghai:World Publishing Corporation,1999.)
[11]胡习兵,舒兴平,沈蒲生.半刚性连接钢框架的简化计算方法[J].湖南大学学报:自然科学版,2005,32(4):18-23.(HU Xi-bing,SHU Xing-ping,SHEN Pu-sheng.Asimplified calculation method for steel frame withsemi-rigid connections[J].Journal of Hunan Univer-sity:Natural Sciences Edition,2005,32(4):18-23.)
[12]陆铁坚,吴继亮,张建军.半刚性连接钢框架内力及侧移的近似计算[J].铁道科学与工程学报,2008,5(3):1-5.(LU Tie-jian,WU Ji-liang,ZHANG Jian-jun.Appro-ximate calculation of internal force and sway of thesemi-rigid jointed steel frame[J].Journal of RailwayScience and Engineering,2008,5(3):1-5.)
[13]刘庆潭,倪国荣.结构分析中的传递矩阵法[M].北京:中国铁道出版社,1997.(LIU Qing-tan,NI Guo-rong.The transfer matrixmethod used in structure analysis[M].Beijing:ChinaRailway Press,1997.)
[2]Kim S E,Lee D H.Second-order distributed plasticityanalysis of space steel frames[J].Engineering Struc-tures,2002,24(6):735-744.
[3]Li G Q,Mativo J.Approximate estimation of the ma-ximum load of semi-rigid steel frames[J].Journal ofConstructional Steel Research,2000,54(2):213-225.
[4]Chen W F.Steel beam-to-column building connec-tions[M].New York:Elsevier Applied Science,1988.
[5]Swanson J A,Leon R T.Bolted steel connections:tests on t-stub components[J].Journal of StructuralEngineering,2000,126(1):50-56.
[6]Hadianfard M A,Razani R.Effects of semi-rigid be-havior of connections in the reliability of steel frames[J].Structural Safety,2003,25(2):123-138.
[7]孙建鹏,李青宁.结构地震反应的频域精细传递矩阵法[J].世界地震工程,2010,26(1):131-136.(SUN Jian-peng,LI Qing-ning.Precise transfer matrixmethod for the earthquake response of structure in fre-quency domain[J].World Earthquake Engineering,2010,26(1):131-136.)
[8]孙建鹏,李青宁.求解结构自振频率的精细传递矩阵法[J].世界地震工程,2009,25(2):140-145.(SUN Jian-peng,LI Qing-ning.Precise transfer matrixmethod for resolving natural frequencies of structures[J].World Earthquake Engineering,2009,25(2):140-145.)
[9]孙建鹏,李青宁.曲线桥结构分析的精细传递矩阵法[J].应用力学学报,2010,27(1):196-199.(SUN Jian-peng,LI Qing-ning.Precise transfer matrixmethod for struture analysis of curved bridge[J].Chinese Journal of Applied Mechanics,2010,27(1):196-199.)
[10]陈惠发.钢框架稳定设计[M].上海:世界图书出版公司,1999.(CHEN Hui-fa.Stability design of steel frames[M].Shanghai:World Publishing Corporation,1999.)
[11]胡习兵,舒兴平,沈蒲生.半刚性连接钢框架的简化计算方法[J].湖南大学学报:自然科学版,2005,32(4):18-23.(HU Xi-bing,SHU Xing-ping,SHEN Pu-sheng.Asimplified calculation method for steel frame withsemi-rigid connections[J].Journal of Hunan Univer-sity:Natural Sciences Edition,2005,32(4):18-23.)
[12]陆铁坚,吴继亮,张建军.半刚性连接钢框架内力及侧移的近似计算[J].铁道科学与工程学报,2008,5(3):1-5.(LU Tie-jian,WU Ji-liang,ZHANG Jian-jun.Appro-ximate calculation of internal force and sway of thesemi-rigid jointed steel frame[J].Journal of RailwayScience and Engineering,2008,5(3):1-5.)
[13]刘庆潭,倪国荣.结构分析中的传递矩阵法[M].北京:中国铁道出版社,1997.(LIU Qing-tan,NI Guo-rong.The transfer matrixmethod used in structure analysis[M].Beijing:ChinaRailway Press,1997.)
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