支撑屈服后屈曲约束支撑框架损伤集中效应分析
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摘要
屈曲约束支撑(BRB)屈服后刚度较低,某一层或几层BRB率先屈服会造成屈曲约束支撑框架(BRBF)进入弹塑性阶段后不同楼层间刚度的突变,框架弯矩会重分布,进而影响框架的损伤机制。为此,提出框架基于柱端弯矩比的强柱弱梁计算公式,公式表明:当框架节点下部与上部柱端弯矩同号相等时,柱梁承载力比需求最小为1;当弯矩反向相等时,需求则为无穷大;通过分析楼层间BRB刚度比对两层BRBF弯矩分布的影响,说明BRBF中某层支撑屈服会导致该层节点下部与上部柱端弯矩比发生较大的改变,节点上部柱端弯矩甚至反向增大;综上,支撑屈服后BRBF易出现层间柱铰机制。最后,通过算例验证提出的强柱弱梁计算公式和BRBF弯矩分布规律,同时表明:当BRB-框架刚度比较大或者框架柱梁承载力比较小时,BRBF损伤集中效应较为明显。
The post-yield stiffness of a buckling-restrained brace(BRB) is low. The yielding of the BRBs at one story or multiple stories may cause the stiffness mutation of stories after the buckling-restrained braced frame(BRBF) goes into the elastic-plastic stage. Consequently, the frame moment may redistribute with the damage mechanism of the frame being affected. A weak beam-strong column calculation formula is proposed based on the moment ratio of column end. The formula shows that the demand of column-beam strength ratio is at least equal to 1(the minimum value) when the moments of the upper and lower column ends at frame joint are equal and have the same directions, while the demand is infinite when the moments are equal, but have opposite directions. Furthermore, the influences of the BRB stiffness ratio of stories on the moment distribution of two-story BRBF are analyzed, disclosing that the yielding of the BRBs at one story in the BRBF can lead to significant change of the moment ratio of lower and upper column ends of frame joint at this story, and the moment of upper column end of the joint may even reverse its direction and increase. Therefore, the BRBF is susceptible to inter-story column hinge mechanism after the yielding of braces. Lastly, the proposed weak beam-strong column calculation formula and moment distribution law of BRBFs are verified via examples.Additionally, the examples show that when the stiffness ratio of BRB-frame is relatively large or the strength ratio of frame column-beam is relatively small, the damage concentration effect of BRBF is more evident.
The post-yield stiffness of a buckling-restrained brace(BRB) is low. The yielding of the BRBs at one story or multiple stories may cause the stiffness mutation of stories after the buckling-restrained braced frame(BRBF) goes into the elastic-plastic stage. Consequently, the frame moment may redistribute with the damage mechanism of the frame being affected. A weak beam-strong column calculation formula is proposed based on the moment ratio of column end. The formula shows that the demand of column-beam strength ratio is at least equal to 1(the minimum value) when the moments of the upper and lower column ends at frame joint are equal and have the same directions, while the demand is infinite when the moments are equal, but have opposite directions. Furthermore, the influences of the BRB stiffness ratio of stories on the moment distribution of two-story BRBF are analyzed, disclosing that the yielding of the BRBs at one story in the BRBF can lead to significant change of the moment ratio of lower and upper column ends of frame joint at this story, and the moment of upper column end of the joint may even reverse its direction and increase. Therefore, the BRBF is susceptible to inter-story column hinge mechanism after the yielding of braces. Lastly, the proposed weak beam-strong column calculation formula and moment distribution law of BRBFs are verified via examples.Additionally, the examples show that when the stiffness ratio of BRB-frame is relatively large or the strength ratio of frame column-beam is relatively small, the damage concentration effect of BRBF is more evident.
引文
[1]Uang C M,Nakashima M,Tsai K C.Research and application of buckling-restrained braced frames[J].International Journal of Steel Structures,2004,4(4):301-313
[2]朱江.防屈曲支撑体系的研究现状及其应用[J].沈阳大学学报:自然科学版,2010,22(2):35-38(Zhu Jiang.The research situation and application of bucking-restrained braced system[J].Journal of Shenyang University:Natural Science Edition,2010,22(2):35-38(in Chinese))
[3]郭彦林,童精中,周鹏.防屈曲支撑的型式、设计理论与应用研究进展[J].工程力学,2016,33(9):1-14(Guo Yanlin,Tong Jingzhong,Zhou Peng.Research progress of buckling restrained braces:types,design methods and applications[J].Engineering Mechanics,2016,33(9):1-14(in Chinese))
[4]Jones P,Zareian F.Seismic response of a 40-storey buckling-restrained braced frame designed for the Los Angeles region[J].The Structural Design of Tall and Special Buildings,2013,22(3):291-299
[5]高杰,徐自国,任重翠,等.北京市轨道交通指挥中心(二期)屈曲约束支撑设计及动力弹塑性分析[J].建筑结构学报,2014,35(1):56-62(Gao Jie,Xu Ziguo,Ren Chongcui,et al.Beijing Rail Transit Command Center(Phase II)energy dissipation technology and dynamic elasto-plastic analysis[J].Journal of Building Structures,2014,35(1):56-62(in Chinese))
[6]杨昌民,牧野俊雄,李宏男.防屈曲支撑的研究进展及其工程应用[J].建筑科学与工程学报,2011,28(4):75-85(Yang Changmin,Toshio Makino,Li Hongnan.Research progress and its engineering application of buckling-restrained braces[J].Journal Architecture and Civil Engineering,2011,28(4):75-85(in Chinese))
[7]潘毅,阎勋章,易路行,等.基于剪力比的防屈曲支撑-RC框架抗震设计方法研究[J].工程力学,2018,35(3):96-105(Pan Yi,Yan Xunzhang,Yi Luxing,et al.Study on the seismic design of buckling-restrained braced-reinforced concrete frame structures based on shear force ratios[J].Engineering Mechanics,2018,35(3):96-105(in Chinese))
[8]张家广,吴斌,赵俊贤.防屈曲支撑加固钢筋混凝土框架的实用设计方法[J].工程力学,2018,35(3):151-158(Zhang Jiaguang,Wu Bin,Zhao Junxian.Apractical design method of reinforced concrete frames retrofitted with buckling-restrained braces[J].Engineering Mechanics,2018,35(3):151-158(in Chinese))
[9]郭彩娟,何斌,刘成清,等.某博物馆结构防屈曲支撑减震分析[J].土木工程学报,2013,45(增1):38-44(Guo Caijuan,He Bin,Liu Chengqing,et al.The damping analysis of a museum structure with buckling-restrained braces[J].China Civil Engineering Journal,2013,45(S1):38-44(in Chinese))
[10]高向宇,李自强,李建勤,等.用外贴BRB减震框架加固既有混凝土结构的研究[J].工程力学,2014,31(8):116-125(Gao Xiangyu,Li Ziqiang,Li Jianqin,et al.Seismic refofitting of existing concrete structure with BRBs installed in additional concrete frames[J].Engineering Mechanics,2014,31(8):116-125(in Chinese))
[11]Kiggins S,Uang CM.Reducing residual drift of buckling-restrained braced frames as a dual system[J].Engineering Structures,2006,28(11):1525-1532
[12]顾志超,吴京,王春林,等.带间隙拉索保护的屈曲约束支撑受力性能研究[J].建筑结构,2013(19):78-82(Gu Zhichao,Wu Jing,Wang Chunlin,et al.Research on behavior of buckling-restrained brace with gapped tendon protections[J].Building Structure,2013(19):78-82(in Chinese))
[13]高承勇,安东亚.耗能型屈曲约束支撑在结构设计中的合理应用与参数控制[J].建筑结构学报,2016,37(6):69-77(Gao Chengyong,An Dongya.Application and parameter controlling for dissipative BRB in structural design[J].Journal of Building Structures,2016,37(6):69-77(in Chinese))
[14]杨家琦,杨超,郁银泉.基于能量的不同类型耗能支撑对钢框架抗震性能的影响[J].建筑结构学报,2016,37(7):105-113(Yang Jiaqi,Yang Chao,Yu Yinquan.Energy-based study on seismic performance of steel frame with different types of energy dissipating braces[J].Journal of Building Structures,2016,37(7):105-113(in Chinese))
[15]孙逊,崔永平,黄明,等.人民日报社报刊综合业务楼结构设计[J].建筑结构,2012(9):57-60(Sun Xun,Cui Yongping,Huang Ming,et al.Structural design of the People’s Daily office building[J].Building Structure,2012(9):57-60(in Chinese))
[16]冯玉龙,吴京,孟少平.屈曲约束支撑框架的支撑布置原则研究[J].工程力学,2016,33(12):104-111(Feng Yulong,Wu Jing,Meng Shaoping.Research on layout principle of braces for buckling-restrained braced frames[J].Engineering Mechanics,2016,33(12):104-111(in Chinese))
[17]张文鑫,周云.不同方案的防屈曲支撑框架的地震反应对比分析[J].土木工程学报,2014,47(增1):102-107(Zhang Wenxin,Zhou Yun.Seismic response comparison of different BRBFs[J].China Civil Engineering Journal,2014,47(S1):102-107(in Chinese))
[18]沈绍冬,李钢,潘鹏.屈曲约束支撑与黏滞阻尼器的减震效果对比研究[J].建筑结构学报,2016,37(9):33-42(Shen Shaodong,Li Gang,Pan Peng.Comparison on seismic response between structures using buckling restrained braces and viscous dampers[J].Journal of Building Structures,2016,37(9):33-42(in Chinese))
[19]Sabelli R,Mahin S,Chang C.Seismic demands on steel braced frame buildings with buckling-restrained braces[J].Engineering Structures,2003,25(5):655-666
[20]Erochko J,Christopoulos C,Tremblay R,et al.Residual drift response of SMRFs and BRB frames in steel buildings designed according to ASCE 7-05[J].Journal of Structural Engineering,2010,137(5):589-599
[21]叶列平,马千里,缪志伟.钢筋混凝土框架结构强柱弱梁设计方法的研究[J].工程力学,2010,27(12):102-113(Ye Lieping,Ma Qianli,Miao Zhiwei.Study on weak beam-strong column design method of RC frame structures[J].Engineering Mechanics,2010,27(12):102-113(in Chinese))
[22]曲哲,叶列平.基于损伤机制控制的钢筋混凝土结构抗震设计方法研究[J].建筑结构学报,2011,32(10):21-29(Qu Zhe,Ye Lieping.Seismic design methodology based on damage mechanism control for reinforced concrete structures[J].Journal of Building Structures,2011,32(10):21-29(in Chinese))
[23]杨红,朱振华,白绍良.双向地震作用下我国“强柱弱梁”措施的有效性评估[J].土木工程学报,2011,44(1):58-64(Yang Hong,Zhu Zhenhua,Bai Shaoliang.An evaluation of the effectiveness of the Chinese strong column weak beam measure under bi-directional horizontal seismic excitations[J].China Civil Engineering Journal,2011,44(1):58-64(in Chinese))
[24]GB 50011-2010建筑抗震设计规范[S].北京:中国建筑工业出版社,2010(GB 50011-2010 Code for seismic design of buildings[S].Beijing:China Architecture&Buliding Press,2010(in Chinese))
[25]MacRae G A,Kimura Y,Roeder C.Effect of column stiffness on braced frame seismic behavior[J].Journal of Structural Engineering,2004,130(3):381-391
[2]朱江.防屈曲支撑体系的研究现状及其应用[J].沈阳大学学报:自然科学版,2010,22(2):35-38(Zhu Jiang.The research situation and application of bucking-restrained braced system[J].Journal of Shenyang University:Natural Science Edition,2010,22(2):35-38(in Chinese))
[3]郭彦林,童精中,周鹏.防屈曲支撑的型式、设计理论与应用研究进展[J].工程力学,2016,33(9):1-14(Guo Yanlin,Tong Jingzhong,Zhou Peng.Research progress of buckling restrained braces:types,design methods and applications[J].Engineering Mechanics,2016,33(9):1-14(in Chinese))
[4]Jones P,Zareian F.Seismic response of a 40-storey buckling-restrained braced frame designed for the Los Angeles region[J].The Structural Design of Tall and Special Buildings,2013,22(3):291-299
[5]高杰,徐自国,任重翠,等.北京市轨道交通指挥中心(二期)屈曲约束支撑设计及动力弹塑性分析[J].建筑结构学报,2014,35(1):56-62(Gao Jie,Xu Ziguo,Ren Chongcui,et al.Beijing Rail Transit Command Center(Phase II)energy dissipation technology and dynamic elasto-plastic analysis[J].Journal of Building Structures,2014,35(1):56-62(in Chinese))
[6]杨昌民,牧野俊雄,李宏男.防屈曲支撑的研究进展及其工程应用[J].建筑科学与工程学报,2011,28(4):75-85(Yang Changmin,Toshio Makino,Li Hongnan.Research progress and its engineering application of buckling-restrained braces[J].Journal Architecture and Civil Engineering,2011,28(4):75-85(in Chinese))
[7]潘毅,阎勋章,易路行,等.基于剪力比的防屈曲支撑-RC框架抗震设计方法研究[J].工程力学,2018,35(3):96-105(Pan Yi,Yan Xunzhang,Yi Luxing,et al.Study on the seismic design of buckling-restrained braced-reinforced concrete frame structures based on shear force ratios[J].Engineering Mechanics,2018,35(3):96-105(in Chinese))
[8]张家广,吴斌,赵俊贤.防屈曲支撑加固钢筋混凝土框架的实用设计方法[J].工程力学,2018,35(3):151-158(Zhang Jiaguang,Wu Bin,Zhao Junxian.Apractical design method of reinforced concrete frames retrofitted with buckling-restrained braces[J].Engineering Mechanics,2018,35(3):151-158(in Chinese))
[9]郭彩娟,何斌,刘成清,等.某博物馆结构防屈曲支撑减震分析[J].土木工程学报,2013,45(增1):38-44(Guo Caijuan,He Bin,Liu Chengqing,et al.The damping analysis of a museum structure with buckling-restrained braces[J].China Civil Engineering Journal,2013,45(S1):38-44(in Chinese))
[10]高向宇,李自强,李建勤,等.用外贴BRB减震框架加固既有混凝土结构的研究[J].工程力学,2014,31(8):116-125(Gao Xiangyu,Li Ziqiang,Li Jianqin,et al.Seismic refofitting of existing concrete structure with BRBs installed in additional concrete frames[J].Engineering Mechanics,2014,31(8):116-125(in Chinese))
[11]Kiggins S,Uang CM.Reducing residual drift of buckling-restrained braced frames as a dual system[J].Engineering Structures,2006,28(11):1525-1532
[12]顾志超,吴京,王春林,等.带间隙拉索保护的屈曲约束支撑受力性能研究[J].建筑结构,2013(19):78-82(Gu Zhichao,Wu Jing,Wang Chunlin,et al.Research on behavior of buckling-restrained brace with gapped tendon protections[J].Building Structure,2013(19):78-82(in Chinese))
[13]高承勇,安东亚.耗能型屈曲约束支撑在结构设计中的合理应用与参数控制[J].建筑结构学报,2016,37(6):69-77(Gao Chengyong,An Dongya.Application and parameter controlling for dissipative BRB in structural design[J].Journal of Building Structures,2016,37(6):69-77(in Chinese))
[14]杨家琦,杨超,郁银泉.基于能量的不同类型耗能支撑对钢框架抗震性能的影响[J].建筑结构学报,2016,37(7):105-113(Yang Jiaqi,Yang Chao,Yu Yinquan.Energy-based study on seismic performance of steel frame with different types of energy dissipating braces[J].Journal of Building Structures,2016,37(7):105-113(in Chinese))
[15]孙逊,崔永平,黄明,等.人民日报社报刊综合业务楼结构设计[J].建筑结构,2012(9):57-60(Sun Xun,Cui Yongping,Huang Ming,et al.Structural design of the People’s Daily office building[J].Building Structure,2012(9):57-60(in Chinese))
[16]冯玉龙,吴京,孟少平.屈曲约束支撑框架的支撑布置原则研究[J].工程力学,2016,33(12):104-111(Feng Yulong,Wu Jing,Meng Shaoping.Research on layout principle of braces for buckling-restrained braced frames[J].Engineering Mechanics,2016,33(12):104-111(in Chinese))
[17]张文鑫,周云.不同方案的防屈曲支撑框架的地震反应对比分析[J].土木工程学报,2014,47(增1):102-107(Zhang Wenxin,Zhou Yun.Seismic response comparison of different BRBFs[J].China Civil Engineering Journal,2014,47(S1):102-107(in Chinese))
[18]沈绍冬,李钢,潘鹏.屈曲约束支撑与黏滞阻尼器的减震效果对比研究[J].建筑结构学报,2016,37(9):33-42(Shen Shaodong,Li Gang,Pan Peng.Comparison on seismic response between structures using buckling restrained braces and viscous dampers[J].Journal of Building Structures,2016,37(9):33-42(in Chinese))
[19]Sabelli R,Mahin S,Chang C.Seismic demands on steel braced frame buildings with buckling-restrained braces[J].Engineering Structures,2003,25(5):655-666
[20]Erochko J,Christopoulos C,Tremblay R,et al.Residual drift response of SMRFs and BRB frames in steel buildings designed according to ASCE 7-05[J].Journal of Structural Engineering,2010,137(5):589-599
[21]叶列平,马千里,缪志伟.钢筋混凝土框架结构强柱弱梁设计方法的研究[J].工程力学,2010,27(12):102-113(Ye Lieping,Ma Qianli,Miao Zhiwei.Study on weak beam-strong column design method of RC frame structures[J].Engineering Mechanics,2010,27(12):102-113(in Chinese))
[22]曲哲,叶列平.基于损伤机制控制的钢筋混凝土结构抗震设计方法研究[J].建筑结构学报,2011,32(10):21-29(Qu Zhe,Ye Lieping.Seismic design methodology based on damage mechanism control for reinforced concrete structures[J].Journal of Building Structures,2011,32(10):21-29(in Chinese))
[23]杨红,朱振华,白绍良.双向地震作用下我国“强柱弱梁”措施的有效性评估[J].土木工程学报,2011,44(1):58-64(Yang Hong,Zhu Zhenhua,Bai Shaoliang.An evaluation of the effectiveness of the Chinese strong column weak beam measure under bi-directional horizontal seismic excitations[J].China Civil Engineering Journal,2011,44(1):58-64(in Chinese))
[24]GB 50011-2010建筑抗震设计规范[S].北京:中国建筑工业出版社,2010(GB 50011-2010 Code for seismic design of buildings[S].Beijing:China Architecture&Buliding Press,2010(in Chinese))
[25]MacRae G A,Kimura Y,Roeder C.Effect of column stiffness on braced frame seismic behavior[J].Journal of Structural Engineering,2004,130(3):381-391