外接式组合桁架节点初始转动刚度研究
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摘要
新建银西线铁路渭河特大桥主桥为4×60 m钢桁腹-混凝土连续箱梁桥,考虑本桥型中半刚性节点转动性能不明确的问题,该文讨论了对外接式组合桁架节点初始转动刚度及其对桥梁受力性能的影响。首先定义了节点域,然后通过传力路径分析将节点域简化成弦杆、PBL剪力键群以及外露节点板三个有效力学组件,利用组件法原理推导出了各有效力学组件的弹簧刚度表达式,得到节点的初始转动刚度函数表达式。建立了节点有限元模型,并将数值结果与理论结果相比较,验证了模型的有效性以及理论分析的正确性。此研究成果为后续外接式节点的弯矩-转角曲线研究奠定了基础。
The main span crossing the Weihe river in Yinchuan to Xi'an railway is a concrete continuous box beam with steel trusses, whose length is 4×60 m. For the problem of uncertain performance of a semi-rigid joint in design, the initial rotational stiffness of an external composite truss joint is studied. First, the joint zone was defined. Then, by the transmission path, the joint zone was simplified into three effective mechanical components:a chord, a PBL shear key group, and an exposed joint plate. Based on the principle of component method, the spring stiffness expressions of effective mechanical components were derived, and the initial rotation stiffness function expression of the joint was obtained. A finite element model of the joint was established. By comparing the numerical results and the theoretical calculation results, the validity of the model and the correctness of theoretical analysis were verified. The research results laid the foundation for the study of the moment rotation curve of the external joint.
The main span crossing the Weihe river in Yinchuan to Xi'an railway is a concrete continuous box beam with steel trusses, whose length is 4×60 m. For the problem of uncertain performance of a semi-rigid joint in design, the initial rotational stiffness of an external composite truss joint is studied. First, the joint zone was defined. Then, by the transmission path, the joint zone was simplified into three effective mechanical components:a chord, a PBL shear key group, and an exposed joint plate. Based on the principle of component method, the spring stiffness expressions of effective mechanical components were derived, and the initial rotation stiffness function expression of the joint was obtained. A finite element model of the joint was established. By comparing the numerical results and the theoretical calculation results, the validity of the model and the correctness of theoretical analysis were verified. The research results laid the foundation for the study of the moment rotation curve of the external joint.
引文
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[12]刘军.外接式钢-混凝土组合桁架节点转动刚度研究[D].长沙:中南大学,2014.Liu Jun.The research on rotational stiffness of external steel-concrete composite truss joint[D]Changsha:Central South University,2014.(in Chinese)
[13]王海波,杜元涛.钢-混组合桁架节点处PBL剪力键群受力性能研究[J].中国铁道科学,2016,37(2):33―40.Wang Haibo,Du Yuantao.Mechanical behaviors of PBLshear connector group at steel concrete composite truss joints[J].China Railway Science,2016,37(2):33―40.(in Chinese)
[14]Rathbum J C.Elastic properties of riveted connections[J].Transactions of American Society of Civil Engineers,1936,101(2):524―563.
[15]Ronstad K M,Sunramanian C V.Analysis of frames with partial connection rigidity[J].Journal of the Structural Division,1970,96(11):2283―2300.
[16]Frye M J,Morris G A.Analysis of flexibly connected steel frames[J].Canadian Journal of Civil Engineering,1975,2(3):280―291.
[17]Kishi N,Chen W F.Moment-rotation relations of semi-rigid connections with angles[J].Journal of Structural Engineering,1990,116(7):1813―1834.
[18]侯娟,叶志明,邹立华.梁柱端板连接节点的初始转动刚度计算模型[J].建筑结构,2005,35(2):37―39.Hou Juan,Ye Zhiming,Zhou lihua.Calculation model of the initial stiffness of beam to column end-plate connections[J].Building Structure,2005,35(2):37―39.(in Chinese)
[19]吴兆旗,张素梅,姜绍飞.梁柱端板连接节点初始转动刚度计算模型[J].工程力学,2009,26(6):226―233.Wu Zhaoqi,Zhang Sumei,Jiang Shaofei.Calculation model of initial rotational stiffness of steel beam-to-column bolted end-plate connections[J].Engineering Mechanics,2009,26(6):226―233.(in Chinese)
[20]高婧,石文龙,李国强,等.平端板连接半刚性梁柱组合节点的初始转动刚度[J].工程力学,2011,28(3):55―61.Gao Jing,Shi Wenlong,Li Guoqiang,et al.Initial rotational stiffness of semi-rigid composite beam-to-column joints with flush end plate connections[J].Engineering Mechanics,2011,28(3):55―61.(in Chinese)
[21]王冬花,王静峰.负弯矩作用下半刚性钢管混凝土组合节点初始刚度计算[J].合肥工业大学学报,2017,40(9):1231―1236.Wang Donghua,Wang Jingfeng.Calculation of initial stiffness of semi-rigid CFST composite joints subjected to negative moment[J].Journal of Hefei University of Technology,2017,40(9):1231―1236.(in Chinese)
[22]施刚,石永久,王元清.钢结构梁柱半刚性端板连接弯矩-转角全曲线计算方法[J].工程力学,2006,23(5):67―74.Shi Gang,Shi Yongjiu,Wang Yuanqing.Calculation method on moment-rotation curves of beam-to-column semirigid end-plate connections[J].Engineering Mechanics,2006,23(5):67―74.(in Chinese)
[23]石永久,施刚,王元清.钢结构半刚性端板连接弯矩-转角曲线简化计算方法[J].工木工程学报,2006,39(3):19―23.Shi Yongjiu,Shi Gang,Wang Yuanqing.A simplified calculation method for moment-rotation curves of semi-rigid end-plate connections[J].China Civil Engineering Journal,2006,39(3):19―23.(in Chinese)
[24]施刚,袁峰,霍达,等.钢框架梁柱节点转角理论模型和测量计算方法[J].工程力学,2012,29(2):52―60.Shi Gang,Yuan Feng,Huo Da,et al.The theoretical model and measuring calculation method of the beam-to-column joint rotation in steel frames[J].Engineering Mechanics,2012,29(2):52―60.(in Chinese)
[25]陈学森,施刚,赵俊林,等.基于组件法的超大承载力端板连接节点弯矩-转角曲线计算方法[J].工程力学,2017,34(5):30―41.Chen Xueshen,Shi Gang,Zhao Junlin,et al.Calculation of moment-rotation curves of ultra-large capacity end-plate connections based on component method[J].Engineering Mechanics,2017,34(5):30―41.(in Chinese)
[26]赵楠,李正良,刘红军.角钢塔K形节点初始转动刚度计算模型[J].工程力学,2014,31(4):93―101.Zhao Nan,Li Zhengliang,Liu Hongjun.Calculation model of initial stiffness of angle steel tower K-joints[J].Engineering Mechanics,2014,31(4):93―101.(in Chinese)
[27]潘伶俐,陈以一.H形梁柱节点域弹性刚度的修正计算公式[J].工程力学,2016,33(11):68―74,94.Pan Lingli,Chen Yiyi.Modified formula for calculating elastic stiffness of panel zone in H-shaped beam-column connections[J].Engineering Mechanics,2016,33(11):68―74,94.(in Chinese)
[28]王振海.埋入式PBL剪力连接件力学特性及承载机理研究[D].成都:西南交通大学,2011.Wang Zhenhai.Study on mechanical property and loadbearing mechanism of embedded PBL shear connectors[D].Chengdu:Southwest Jiaotong University,2011.(in Chinese)
[2]Fukumoto T.Morita K.Elastoplastic behavior of panel zone in steel beam-to concrete filled tube column moment connection[J].Journal of Structural Engineering,2005,13(7):1841―1853.
[3]陈志华,苗纪奎,赵莉华,等.方钢管混凝土柱-H钢梁节点研究[J].建筑结构,2007,37(1):50―56.Chen Zhihua,Miao Jikui,Zhao Lihua,et al.Study on joint of concrete-filled rectangular tubular column and h-shaped steel beam[J].Building Structure,2007,37(1):50―56.(in Chinese)
[4]王静峰.竖向荷载作用下半刚性连接组合框架的使用设计方法[D].上海:同济大学,2005.Wang Jingfeng.The practical design approach of semi-rigidly connected composite frames under vertical loads[D].Shanghai:Tongji University,2005.(in Chinese)
[5]刘清平.水平荷载作用下半刚性连接组合框架的使用设计方法[D].上海:同济大学,2006.Liu Qingping.The practical design approach of semi-rigidly connected composite frames under lateral loads[D].Shanghai:Tongji University,2006.(in Chinese)
[6]周凌宇,贺桂超.2种不同构造形式的钢-混组合桁架节点试验研究[J].铁道科学与工程,2012,9(6):7―12.Zhou Lingyu,He Guichao.Experimental study on steelconcrete composite joints with two kinds of fabrication[J].Journal of Railway Science and Engineering,2012,9(6):7―12.(in Chinese)
[7]李正良,赵楠,尤军,等.角钢塔K形节点弯矩-转角曲线研究[J].四川大学学报,2013,45(4):46―54.Li Zhengliang,Zhao Nan,You Jun,et al.Development of moment-rotation curves of angle steel tower K-joints[J].Journal of Sichuan University(Engineering Science Edition),2013,45(4):46―54.(in Chinese)
[8]张爱林,孙勇,刘学春,等.方钢管混凝土柱-H形钢梁螺栓连接节点受力性能试验研究[J].建筑结构学报,2017,38(11):64―73.Zhang Ailin,Sun Yong,Liu Xuechun,et al.Experimental study on mechanical performance of concrete-filled square steel tubular columns to H-section steel beam bolted connection[J].Journal of Building Structures,2017,38(11):64―73.(in Chinese)
[9]赵根田,王丽娜,狄昊.部分包裹混凝土组合柱-钢梁端板连接框架结构抗震性能试验研究[J].建筑结构,2018,48(6):68―75.Zhao Gentian,Wang Lina,Di Hao.Experimental research on frame seismic behavior of the PECcolumn-steel beam connected by end plate[J].Building Structure,2018,48(6):68―75.(in Chinese)
[10]Monforton G R,Wu T S.Matrix analysis of semi-rigidly connected frames[J].Journal of the Structural Division,1963,89(6):13―24.
[11]Barakat M,Chen W F.Practical analysis of semi-rigid frames[J].Engineering Journal,1990,27(2):54―68.
[12]刘军.外接式钢-混凝土组合桁架节点转动刚度研究[D].长沙:中南大学,2014.Liu Jun.The research on rotational stiffness of external steel-concrete composite truss joint[D]Changsha:Central South University,2014.(in Chinese)
[13]王海波,杜元涛.钢-混组合桁架节点处PBL剪力键群受力性能研究[J].中国铁道科学,2016,37(2):33―40.Wang Haibo,Du Yuantao.Mechanical behaviors of PBLshear connector group at steel concrete composite truss joints[J].China Railway Science,2016,37(2):33―40.(in Chinese)
[14]Rathbum J C.Elastic properties of riveted connections[J].Transactions of American Society of Civil Engineers,1936,101(2):524―563.
[15]Ronstad K M,Sunramanian C V.Analysis of frames with partial connection rigidity[J].Journal of the Structural Division,1970,96(11):2283―2300.
[16]Frye M J,Morris G A.Analysis of flexibly connected steel frames[J].Canadian Journal of Civil Engineering,1975,2(3):280―291.
[17]Kishi N,Chen W F.Moment-rotation relations of semi-rigid connections with angles[J].Journal of Structural Engineering,1990,116(7):1813―1834.
[18]侯娟,叶志明,邹立华.梁柱端板连接节点的初始转动刚度计算模型[J].建筑结构,2005,35(2):37―39.Hou Juan,Ye Zhiming,Zhou lihua.Calculation model of the initial stiffness of beam to column end-plate connections[J].Building Structure,2005,35(2):37―39.(in Chinese)
[19]吴兆旗,张素梅,姜绍飞.梁柱端板连接节点初始转动刚度计算模型[J].工程力学,2009,26(6):226―233.Wu Zhaoqi,Zhang Sumei,Jiang Shaofei.Calculation model of initial rotational stiffness of steel beam-to-column bolted end-plate connections[J].Engineering Mechanics,2009,26(6):226―233.(in Chinese)
[20]高婧,石文龙,李国强,等.平端板连接半刚性梁柱组合节点的初始转动刚度[J].工程力学,2011,28(3):55―61.Gao Jing,Shi Wenlong,Li Guoqiang,et al.Initial rotational stiffness of semi-rigid composite beam-to-column joints with flush end plate connections[J].Engineering Mechanics,2011,28(3):55―61.(in Chinese)
[21]王冬花,王静峰.负弯矩作用下半刚性钢管混凝土组合节点初始刚度计算[J].合肥工业大学学报,2017,40(9):1231―1236.Wang Donghua,Wang Jingfeng.Calculation of initial stiffness of semi-rigid CFST composite joints subjected to negative moment[J].Journal of Hefei University of Technology,2017,40(9):1231―1236.(in Chinese)
[22]施刚,石永久,王元清.钢结构梁柱半刚性端板连接弯矩-转角全曲线计算方法[J].工程力学,2006,23(5):67―74.Shi Gang,Shi Yongjiu,Wang Yuanqing.Calculation method on moment-rotation curves of beam-to-column semirigid end-plate connections[J].Engineering Mechanics,2006,23(5):67―74.(in Chinese)
[23]石永久,施刚,王元清.钢结构半刚性端板连接弯矩-转角曲线简化计算方法[J].工木工程学报,2006,39(3):19―23.Shi Yongjiu,Shi Gang,Wang Yuanqing.A simplified calculation method for moment-rotation curves of semi-rigid end-plate connections[J].China Civil Engineering Journal,2006,39(3):19―23.(in Chinese)
[24]施刚,袁峰,霍达,等.钢框架梁柱节点转角理论模型和测量计算方法[J].工程力学,2012,29(2):52―60.Shi Gang,Yuan Feng,Huo Da,et al.The theoretical model and measuring calculation method of the beam-to-column joint rotation in steel frames[J].Engineering Mechanics,2012,29(2):52―60.(in Chinese)
[25]陈学森,施刚,赵俊林,等.基于组件法的超大承载力端板连接节点弯矩-转角曲线计算方法[J].工程力学,2017,34(5):30―41.Chen Xueshen,Shi Gang,Zhao Junlin,et al.Calculation of moment-rotation curves of ultra-large capacity end-plate connections based on component method[J].Engineering Mechanics,2017,34(5):30―41.(in Chinese)
[26]赵楠,李正良,刘红军.角钢塔K形节点初始转动刚度计算模型[J].工程力学,2014,31(4):93―101.Zhao Nan,Li Zhengliang,Liu Hongjun.Calculation model of initial stiffness of angle steel tower K-joints[J].Engineering Mechanics,2014,31(4):93―101.(in Chinese)
[27]潘伶俐,陈以一.H形梁柱节点域弹性刚度的修正计算公式[J].工程力学,2016,33(11):68―74,94.Pan Lingli,Chen Yiyi.Modified formula for calculating elastic stiffness of panel zone in H-shaped beam-column connections[J].Engineering Mechanics,2016,33(11):68―74,94.(in Chinese)
[28]王振海.埋入式PBL剪力连接件力学特性及承载机理研究[D].成都:西南交通大学,2011.Wang Zhenhai.Study on mechanical property and loadbearing mechanism of embedded PBL shear connectors[D].Chengdu:Southwest Jiaotong University,2011.(in Chinese)