钢-混凝土组合箱梁弯矩-曲率恢复力模型研究
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摘要
截面弯矩-曲率滞回规则是钢-混凝土组合梁最重要的力学特性之一,该滞回模型的建立为组合箱梁结构的弹塑性分析提供了可行性。利用幂函数插值方法,考虑剪力连接度对组合箱梁截面弯曲刚度的影响,提出了考虑界面滑移的钢-混凝土组合箱梁正向、负向截面弹性刚度及截面屈服弯矩计算方法,建立了组合箱梁截面弯矩-曲率三折线骨架曲线模型;在试验数据与理论分析的基础上,获得了组合箱梁正向及负向刚度退化规律表达式,并进一步提出了钢-混凝土组合箱梁截面弯矩-曲率最大点指向型滞回模型,将该模型的分析结果同试验结果进行了比较。结果表明:提出的组合箱梁截面弹性刚度、屈服弯矩、弯矩-曲率骨架曲线模型及滞回模型均与试验结果吻合良好,且模型计算方法简单明了,便于手算。
Characteristics of bending moment-curvature hysteresis rule are one of the most important mechanical properties of the steel-concrete composite box-beams. The theoretical elasto-plastic characteristics of composite box beams was provided by establishing the moment-curvature restoring force model. The influence of shear connection degree on bending rigidity of steel-concrete composite box beams was considered by employing power function interpolation. The positive and negative elastic stiffness as well as the section yield moment considering the interface slip were proposed. A trilinear skeleton model of steel-concrete composite box beams was established,which was convenient for engineering application. Based on the test data and theoretical analysis,the positive and negative stiffness degradation rules were obtained. The maximum-oriented restoring force model was further proposed. The computation results using methods proposed in this paper were compared with the test results. The comparison shows that the computing methods of elastic stiffness,yield moment,skeleton curve and moment-curvature restoring force model are in good agreement with the test results. The computing method of the model is very simple,which is easy to calculate by hand.
Characteristics of bending moment-curvature hysteresis rule are one of the most important mechanical properties of the steel-concrete composite box-beams. The theoretical elasto-plastic characteristics of composite box beams was provided by establishing the moment-curvature restoring force model. The influence of shear connection degree on bending rigidity of steel-concrete composite box beams was considered by employing power function interpolation. The positive and negative elastic stiffness as well as the section yield moment considering the interface slip were proposed. A trilinear skeleton model of steel-concrete composite box beams was established,which was convenient for engineering application. Based on the test data and theoretical analysis,the positive and negative stiffness degradation rules were obtained. The maximum-oriented restoring force model was further proposed. The computation results using methods proposed in this paper were compared with the test results. The comparison shows that the computing methods of elastic stiffness,yield moment,skeleton curve and moment-curvature restoring force model are in good agreement with the test results. The computing method of the model is very simple,which is easy to calculate by hand.
引文
[1]聂建国.钢-混凝土组合结构原理与实例[M].北京:科学出版社,2009:23-55.(NIE Jianguo.Composite structures of steel and concrete:theory and practice[M].Beijing:Science Press,2009:23-55.(in Chinese))
[2]聂建国.钢-混凝土组合梁结构:试验、理论与应用[M].北京:科学出版社,2005:1-36.
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[4]段留省,苏明周,郝麒麟,等.高强钢组合K形偏心支撑钢框架抗震性能试验研究[J].建筑结构学报,2014,35(7):18-25.(DUAN Liusheng,SU Mingzhou,HAO Qilin,et al.Experimental study on seismic behavior of high strength steel composite K-type eccentrically braced frames[J].Journal of Building Structures,2014,35(7):18-25.(in Chinese))
[5]周旺保,蒋丽忠,李书进,等.钢-混凝土组合框架地震响应有限元时程分析[J].华中科技大学学报(自然科学版),2014,42(7):61-65.(ZHOU Wangbao,JIANG Lizhong,LI Shujin,et al.Finite element time history analysis on seismic response of steel-concrete composite frame structure[J].Journal of Huazhong University of Science and Technology(Natural Science Edition),2014,42(7):61-65.(in Chinese))
[6]韩林海.钢管混凝土结构:理论与实践[M].北京:科学出版社,2007:123-201.
[7]韩林海,陶忠,王文达.现代组合结构和混合结构:试验、理论和方法[M].北京:科学出版社,2009:34-107.(HAN Linhai,TAO Zhong,WANG Wenda.Advanced composite and mixed structures testing,theory and design approach[M].Beijing:Science Press,2009:34-107.(in Chinese))
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[11]王文达,韩林海.钢管混凝土框架实用荷载-位移恢复力模型研究[J].工程力学,2008,25(11):62-69.(WANG Wenda,HAN Linhai.Research on practical resilience model of load versus displacement for concrete filled steel tubular frame[J].Engineering Mechanics,2008,25(11):62-69.(in Chinese))
[12]蒋丽忠,余志武,曹华,等.钢-混凝土简支组合梁的恢复力模型[J].工业建筑,2007,37(11):85-87.(JIANG Lizhong,YU Zhiwu,CAO Hua,et al.Research on restoring force model of steel-concrete composite beams[J].Industrial Construction,2007,37(11):85-87.(in Chinese))
[13]辛学忠,蒋丽忠,曹华.钢-混凝土连续组合梁的恢复力模型[J].建筑结构学报,2006,27(1):83-89.(XIN Xuezhong,JIANG Lizhong,CAO Hua.Research of restoring force model on steel concrete composite continuous beams[J].Journal of Building Structures,2006,27(1):83-89.(in Chinese))
[14]李国强,崔大光.钢骨混凝土梁柱框支剪力墙试验与恢复力模型研究[J].建筑结构学报,2008,29(4):73-80.(LI Guoqiang,CUI Daguang.Experimental study on the restoring force model of shear wall supported on the frame with steel reinforcing[J].Journal of Building Structures,2008,29(4):73-80.(in Chinese))
[15]石文龙.平端板连接半刚性梁柱组合节点的试验与理论研究[D].上海:同济大学,2006:22-56.(SHI Wenlong.Experimental and theoretical study on semirigid beam-to-column composite joints with flush end-plate connection[D].Shanghai:Tongji University,2006:22-56.(in Chinese))
[16]Ayoub A,Filippou F C.Mixed formulation of nonlinear steel-concrete composite beam element[J].Journal of Structural Engineering,ASCE,2000,126(3):371-381.
[17]DL/T 5085—1999钢-混凝土组合结构设计规程[S].北京:中国电力出版社,1999.(DL/T 5085—1999 Code for design of steel-concrete composite structure[S].Beijing:China Electric Power Press,1999.(in Chinese))
[18]郭志毅.钢-混凝土简支组合梁抗弯性能的试验与理论研究[D].西安:西安建筑科技大学,2007:63-70.(GUO Zhiyi.Experiments and theoretic research on flexural behavior of simple supported steel-conerete composite beams[D].Xi’an:Xi’an University of Architecture and Technology,2007:63-70.(in Chinese))
[19]ANSI/AISC 360-10 Specification for structural steel buildings[S].Chicago,Illinois:AISC,2010.
[20]周旺保.钢-混凝土组合箱梁及其框架结构的静动力性能分析[D].长沙:中南大学,2013:75-95.(ZHOU Wangbao.Static and dynamic performance of steel-concrete composite box-beam and frame structure[D].Changsha:Central South University,2013:75-95.(in Chinese))
[21]聂建国,谭英,王洪全.钢-高强混凝土组合梁栓钉剪力连接件的设计计算[J].清华大学学报(自然科学版),1999,39(12):94-97.(NIE Jianguo,TAN Ying,WANG Hongquan.Strength of stud shear connectors in composite steel-HC beams[J].Journal of Tsinghua University(Science and Technology),1999,39(12):94-97.(in Chinese))
[22]聂建国,崔玉萍,石中柱,等.部分剪力连接钢—混凝土组合梁受弯极限承载力的计算[J].工程力学,2000,17(3):37-42.(NIE Jianguo,CUI Yuping,SHI Zhongzhu,et al.Ultimate flexural capacity of composite steel-concrete beams with partial shear connection[J].Engineering Mechanics,2000,17(3):37-42.(in Chinese))
[2]聂建国.钢-混凝土组合梁结构:试验、理论与应用[M].北京:科学出版社,2005:1-36.
[3]戚菁菁,蒋丽忠,周旺保.钢-混凝土组合框架结构恢复力模型研究[J].中南大学学报(自然科学版),2013,44(9):3863-3872.(QI Jingjing,JIANG Lizhong,ZHOU Wangbao.Restoring force model of steel-concrete composite frame structure[J].Journal of Central South University(Science and Technology),2013,44(9):3863-3872.(in Chinese))
[4]段留省,苏明周,郝麒麟,等.高强钢组合K形偏心支撑钢框架抗震性能试验研究[J].建筑结构学报,2014,35(7):18-25.(DUAN Liusheng,SU Mingzhou,HAO Qilin,et al.Experimental study on seismic behavior of high strength steel composite K-type eccentrically braced frames[J].Journal of Building Structures,2014,35(7):18-25.(in Chinese))
[5]周旺保,蒋丽忠,李书进,等.钢-混凝土组合框架地震响应有限元时程分析[J].华中科技大学学报(自然科学版),2014,42(7):61-65.(ZHOU Wangbao,JIANG Lizhong,LI Shujin,et al.Finite element time history analysis on seismic response of steel-concrete composite frame structure[J].Journal of Huazhong University of Science and Technology(Natural Science Edition),2014,42(7):61-65.(in Chinese))
[6]韩林海.钢管混凝土结构:理论与实践[M].北京:科学出版社,2007:123-201.
[7]韩林海,陶忠,王文达.现代组合结构和混合结构:试验、理论和方法[M].北京:科学出版社,2009:34-107.(HAN Linhai,TAO Zhong,WANG Wenda.Advanced composite and mixed structures testing,theory and design approach[M].Beijing:Science Press,2009:34-107.(in Chinese))
[8]聂建国,黄远.钢-混凝土组合梁非线性地震反应分析模型[J].清华大学学报(自然科学版),2009,49(3):329-332.(NIE Jianguo,HUANG Yuan.Nonlinear model for seismic analysis of steel-concrete composite beams[J].Journal of Tsinghua University(Science and Technology),2009,49(3):329-332.(in Chinese))
[9]聂建国,余洲亮,叶清华.钢-混凝土叠合板组合梁抗震性能的试验研究[J].清华大学学报(自然科学版),1998,38(10):36-38.(NIE Jianguo,YU Zhouliang,YE Qinghua.Seismic behaviour of composite steel-concrete beams[J].Journal of Tsinghua University(Science and Technology),1998,38(10):36-38.(in Chinese))
[10]聂建国,余洲亮,袁彦声,等.钢-混凝土组合梁恢复力模型的研究[J].清华大学学报(自然科学版),1999,39(6):122-124.(NIE Jianguo,YU Zhouliang,YUAN Yansheng,et al.Research on restoring force model of composite steel-concrete beams[J].Journal of Tsinghua University(Science and Technology),1999,39(6):121-124.(in Chinese))
[11]王文达,韩林海.钢管混凝土框架实用荷载-位移恢复力模型研究[J].工程力学,2008,25(11):62-69.(WANG Wenda,HAN Linhai.Research on practical resilience model of load versus displacement for concrete filled steel tubular frame[J].Engineering Mechanics,2008,25(11):62-69.(in Chinese))
[12]蒋丽忠,余志武,曹华,等.钢-混凝土简支组合梁的恢复力模型[J].工业建筑,2007,37(11):85-87.(JIANG Lizhong,YU Zhiwu,CAO Hua,et al.Research on restoring force model of steel-concrete composite beams[J].Industrial Construction,2007,37(11):85-87.(in Chinese))
[13]辛学忠,蒋丽忠,曹华.钢-混凝土连续组合梁的恢复力模型[J].建筑结构学报,2006,27(1):83-89.(XIN Xuezhong,JIANG Lizhong,CAO Hua.Research of restoring force model on steel concrete composite continuous beams[J].Journal of Building Structures,2006,27(1):83-89.(in Chinese))
[14]李国强,崔大光.钢骨混凝土梁柱框支剪力墙试验与恢复力模型研究[J].建筑结构学报,2008,29(4):73-80.(LI Guoqiang,CUI Daguang.Experimental study on the restoring force model of shear wall supported on the frame with steel reinforcing[J].Journal of Building Structures,2008,29(4):73-80.(in Chinese))
[15]石文龙.平端板连接半刚性梁柱组合节点的试验与理论研究[D].上海:同济大学,2006:22-56.(SHI Wenlong.Experimental and theoretical study on semirigid beam-to-column composite joints with flush end-plate connection[D].Shanghai:Tongji University,2006:22-56.(in Chinese))
[16]Ayoub A,Filippou F C.Mixed formulation of nonlinear steel-concrete composite beam element[J].Journal of Structural Engineering,ASCE,2000,126(3):371-381.
[17]DL/T 5085—1999钢-混凝土组合结构设计规程[S].北京:中国电力出版社,1999.(DL/T 5085—1999 Code for design of steel-concrete composite structure[S].Beijing:China Electric Power Press,1999.(in Chinese))
[18]郭志毅.钢-混凝土简支组合梁抗弯性能的试验与理论研究[D].西安:西安建筑科技大学,2007:63-70.(GUO Zhiyi.Experiments and theoretic research on flexural behavior of simple supported steel-conerete composite beams[D].Xi’an:Xi’an University of Architecture and Technology,2007:63-70.(in Chinese))
[19]ANSI/AISC 360-10 Specification for structural steel buildings[S].Chicago,Illinois:AISC,2010.
[20]周旺保.钢-混凝土组合箱梁及其框架结构的静动力性能分析[D].长沙:中南大学,2013:75-95.(ZHOU Wangbao.Static and dynamic performance of steel-concrete composite box-beam and frame structure[D].Changsha:Central South University,2013:75-95.(in Chinese))
[21]聂建国,谭英,王洪全.钢-高强混凝土组合梁栓钉剪力连接件的设计计算[J].清华大学学报(自然科学版),1999,39(12):94-97.(NIE Jianguo,TAN Ying,WANG Hongquan.Strength of stud shear connectors in composite steel-HC beams[J].Journal of Tsinghua University(Science and Technology),1999,39(12):94-97.(in Chinese))
[22]聂建国,崔玉萍,石中柱,等.部分剪力连接钢—混凝土组合梁受弯极限承载力的计算[J].工程力学,2000,17(3):37-42.(NIE Jianguo,CUI Yuping,SHI Zhongzhu,et al.Ultimate flexural capacity of composite steel-concrete beams with partial shear connection[J].Engineering Mechanics,2000,17(3):37-42.(in Chinese))
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