结构抗倒塌能力简化评估方法及其应用
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摘要
针对增量动力分析(IDA)计算实际结构倒塌时常会遇到的工作量大、数值收敛困难等问题,提出结构抗倒塌能力的简化评估方法。该方法根据Pushover曲线与IDA曲线在定义结构倒塌极限状态上的相关性,通过单向和往复的Pushover分析确定结构的骨架参数和滞回特性,构建倒塌分析的等效单自由度模型,快速计算结构的倒塌强度。对一榀三跨六层钢框架和一榀三跨六层混凝土框架进行分析,结果显示简化方法得到的响应曲线和倒塌易损性曲线与IDA的结果接近,可以近似评估以第1振型为主的结构的抗倒塌能力。
Due to the high calculation cost and convergence problem in the numerical simulation of actual structures under earthquakes using incremental dynamic analysis( IDA) method,a simplified evaluation method of structural collapse resistant capacity is proposed. The simplified method is based on the correlation between the Pushover curve and the IDA curve in the collapse limit state. According to the results of Pushover analysis,where the backbone curve and hysteretic characteristic are determined by the unidirectional and reciprocating Pushover analysis,the equivalent single-degree-of-freedom model for collapse analysis is established. The numerical simulations of a six-story three-span steel frame and a six-story three-span RC frame show that the structural response curve and collapse fragility curve calculated by the simplified method agree with those by IDA,which indicates that the simplified method can be used to evaluate the collapse resistant capacity of structure dominating by the first mode.
Due to the high calculation cost and convergence problem in the numerical simulation of actual structures under earthquakes using incremental dynamic analysis( IDA) method,a simplified evaluation method of structural collapse resistant capacity is proposed. The simplified method is based on the correlation between the Pushover curve and the IDA curve in the collapse limit state. According to the results of Pushover analysis,where the backbone curve and hysteretic characteristic are determined by the unidirectional and reciprocating Pushover analysis,the equivalent single-degree-of-freedom model for collapse analysis is established. The numerical simulations of a six-story three-span steel frame and a six-story three-span RC frame show that the structural response curve and collapse fragility curve calculated by the simplified method agree with those by IDA,which indicates that the simplified method can be used to evaluate the collapse resistant capacity of structure dominating by the first mode.
引文
[1]Wu C L,Kuo W W,Yang Y S,et al.Collapse of a nonductile concrete frame:shaking table tests[J].Earthquake Engineering and Structural Dynamics,2009,38(2):205-224.
[2]Krawinkler H,Zareian F,Lignos D G,et al.Prediction of collapse of structures under earthquake excitations[C]//2nd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering.Rhodes,Greece:ECCOMAS,2009.
[3]Adam C,Jager C.Simplified assessment of the seismic collapse capacity of flexible moment-resisting steel frame structures[C]//7th International Conference on Behaviour of Steel Structures in Seismic Areas.London:Taylor&Francis Group,2012:463-469.
[4]Haselton C B,Liel A B,Deierlein G G,et al.Seismic collapse safety of reinforced concrete buildings:I:assessment of ductile moment frames[J].Journal of Structural Engineering,ASCE,2011,137(4):481-491.
[5]Liel A B,Haselton C B,Deierlein G G.Seismic collapse safety of reinforced concrete buildings:II:comparative assessment of nonductile and ductile moment frames[J].Journal of Structural Engineering,ASCE,2011,137(4):492-502.
[6]叶列平,曲哲,陆新征,等.提高建筑结构抗地震倒塌能力的设计思想与方法[J].建筑结构学报,2008,29(4):42-50.(YE Lieping,QU Zhe,LU Xinzheng,et al.Collapse prevention of building structures:a lesson from the Wenchuan Earthquake[J].Journal of Building Structures,2008,29(4):42-50.(in Chinese))
[7]叶列平,陆新征,赵世春,等.框架结构抗地震倒塌能力的研究:汶川地震极震区几个框架结构震害案例分析[J].建筑结构学报,2009,30(6):67-76.(YE Lieping,LU Xinzheng,ZHAO Shichun,et al.Seismic collapse resistance of RC frame structures:case studies on seismic damages of several RC frame structures under extreme ground motion in Wenchuan Earthquake[J].Journal of Building Structures,2009,30(6):67-76.(in Chinese))
[8]陆新征,张万开,柳国环.基于推覆分析的RC框架地震倒塌易损性预测[J].地震工程与工程振动,2012,32(4):1-6.(LU Xinzheng,ZHANG Wankai,LIU Guohuan.Prediction of seismic collapse vulnerability of RC frame based on pushover analysis method[J].Journal of Earthquake Engineering and Engineering Vibration,2012,32(4):1-6.(in Chinese))
[9]吕大刚,崔双双,陈志恒.基于Pushover分析的钢筋混凝土框架结构抗侧向倒塌能力评定[J].工程力学,2013,30(1):180-189.(LDagang,CUI Shuangshuang,CHEN Zhiheng.Assessment of sidesway collapse resistant capacity of reinforced concrete frame structures based on pushover analysis[J].Engineering Mechanics,2013,30(1):180-189.(in Chinese))
[10]施炜,陆新征,叶列平,等.建筑结构倒塌分析的单自由度模型[J].工程力学,2012,29(10):5-12.(SHI Wei,LU Xinzheng,YE Lieping,et al.Singledegree-of-freedom hysteretic model for collapse analysis of building structures[J].Engineering Mechanics,2012,29(10):5-12.(in Chinese))
[11]施炜,叶列平,陆新征.抗地震倒塌能力谱研究[J].建筑结构学报,2012,33(10):1-7.(SHI Wei,YE Lieping,LU Xinzheng.Study of collapse resistant capacity spectrum[J].Journal of Building Structures,2012,33(10):1-7.(in Chinese))
[12]Vamvatsikos D,Cornell C A.Incremental dynamic analysis[J].Earthquake Engineering and Structural Dynamics,2002,31(3):491-514.
[13]梁仁杰,吴京,王春林,等.考虑P-Δ效应的结构地震倒塌及影响因素分析[J].建筑结构学报,2013,34(2):69-75.(LIANG Renjie,WU Jing,WANG Chunlin,et al.Research on collapse of structure under earthquakes with consideration of P-Δeffect and its influence factors[J].Journal of Building Structures,2013,34(2):69-75.(in Chinese))
[14]梁仁杰,吴京,王春林.P-Δ效应下滞回特征对结构抗倒塌能力的影响[J].东南大学学报(自然科学版),2013,43(1):188-194.(LIANG Renjie,WU Jing,WANG Chunlin.Influence of hysteretic characteristic on collapse resistance capacity of structure with P-Δeffect[J].Journal of Southeast University(Natural Science Edition),2013,43(1):188-194.(in Chinese))
[2]Krawinkler H,Zareian F,Lignos D G,et al.Prediction of collapse of structures under earthquake excitations[C]//2nd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering.Rhodes,Greece:ECCOMAS,2009.
[3]Adam C,Jager C.Simplified assessment of the seismic collapse capacity of flexible moment-resisting steel frame structures[C]//7th International Conference on Behaviour of Steel Structures in Seismic Areas.London:Taylor&Francis Group,2012:463-469.
[4]Haselton C B,Liel A B,Deierlein G G,et al.Seismic collapse safety of reinforced concrete buildings:I:assessment of ductile moment frames[J].Journal of Structural Engineering,ASCE,2011,137(4):481-491.
[5]Liel A B,Haselton C B,Deierlein G G.Seismic collapse safety of reinforced concrete buildings:II:comparative assessment of nonductile and ductile moment frames[J].Journal of Structural Engineering,ASCE,2011,137(4):492-502.
[6]叶列平,曲哲,陆新征,等.提高建筑结构抗地震倒塌能力的设计思想与方法[J].建筑结构学报,2008,29(4):42-50.(YE Lieping,QU Zhe,LU Xinzheng,et al.Collapse prevention of building structures:a lesson from the Wenchuan Earthquake[J].Journal of Building Structures,2008,29(4):42-50.(in Chinese))
[7]叶列平,陆新征,赵世春,等.框架结构抗地震倒塌能力的研究:汶川地震极震区几个框架结构震害案例分析[J].建筑结构学报,2009,30(6):67-76.(YE Lieping,LU Xinzheng,ZHAO Shichun,et al.Seismic collapse resistance of RC frame structures:case studies on seismic damages of several RC frame structures under extreme ground motion in Wenchuan Earthquake[J].Journal of Building Structures,2009,30(6):67-76.(in Chinese))
[8]陆新征,张万开,柳国环.基于推覆分析的RC框架地震倒塌易损性预测[J].地震工程与工程振动,2012,32(4):1-6.(LU Xinzheng,ZHANG Wankai,LIU Guohuan.Prediction of seismic collapse vulnerability of RC frame based on pushover analysis method[J].Journal of Earthquake Engineering and Engineering Vibration,2012,32(4):1-6.(in Chinese))
[9]吕大刚,崔双双,陈志恒.基于Pushover分析的钢筋混凝土框架结构抗侧向倒塌能力评定[J].工程力学,2013,30(1):180-189.(LDagang,CUI Shuangshuang,CHEN Zhiheng.Assessment of sidesway collapse resistant capacity of reinforced concrete frame structures based on pushover analysis[J].Engineering Mechanics,2013,30(1):180-189.(in Chinese))
[10]施炜,陆新征,叶列平,等.建筑结构倒塌分析的单自由度模型[J].工程力学,2012,29(10):5-12.(SHI Wei,LU Xinzheng,YE Lieping,et al.Singledegree-of-freedom hysteretic model for collapse analysis of building structures[J].Engineering Mechanics,2012,29(10):5-12.(in Chinese))
[11]施炜,叶列平,陆新征.抗地震倒塌能力谱研究[J].建筑结构学报,2012,33(10):1-7.(SHI Wei,YE Lieping,LU Xinzheng.Study of collapse resistant capacity spectrum[J].Journal of Building Structures,2012,33(10):1-7.(in Chinese))
[12]Vamvatsikos D,Cornell C A.Incremental dynamic analysis[J].Earthquake Engineering and Structural Dynamics,2002,31(3):491-514.
[13]梁仁杰,吴京,王春林,等.考虑P-Δ效应的结构地震倒塌及影响因素分析[J].建筑结构学报,2013,34(2):69-75.(LIANG Renjie,WU Jing,WANG Chunlin,et al.Research on collapse of structure under earthquakes with consideration of P-Δeffect and its influence factors[J].Journal of Building Structures,2013,34(2):69-75.(in Chinese))
[14]梁仁杰,吴京,王春林.P-Δ效应下滞回特征对结构抗倒塌能力的影响[J].东南大学学报(自然科学版),2013,43(1):188-194.(LIANG Renjie,WU Jing,WANG Chunlin.Influence of hysteretic characteristic on collapse resistance capacity of structure with P-Δeffect[J].Journal of Southeast University(Natural Science Edition),2013,43(1):188-194.(in Chinese))
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