应用非概率凸集模型的框架结构抗震性能分析
|
摘要
为解决结构抗震性能分析结果会因地震动记录选择上的差异产生较大变异性问题,采用非概率凸集模型来考虑地震作用的不确定性,以结构最大层间位移角作为抗震性能指标,通过能力谱方法对一钢筋混凝土框架结构进行非概率性抗震性能评估,与基于概率随机模型的抗震性能分析结果进行比较.结果表明,采用非概率凸集模型进行结构抗震性能分析,在减少变异性的同时,还具有一定的合理性和适用性.
Convex model was used to consider the uncertainty of earthquake in this paper to solve the problem that the selection of different ground motion records will result in great variability in structural seismic performance analysis. Taking the inter-story displacement angle as seismic performance index, non-probabilistic seismic performance of a reinforced concrete frame was assessed under the motivation of rare earthquake by the capability spectrum analysis method. Then the results were compared with probabilistic seismic performance based on the probabilistic random model. By comparison and analysis,it shows that the evaluation of structural seismic performance based on convex model not only reduces the variability,but also is reasonable and applicable to some extent.
Convex model was used to consider the uncertainty of earthquake in this paper to solve the problem that the selection of different ground motion records will result in great variability in structural seismic performance analysis. Taking the inter-story displacement angle as seismic performance index, non-probabilistic seismic performance of a reinforced concrete frame was assessed under the motivation of rare earthquake by the capability spectrum analysis method. Then the results were compared with probabilistic seismic performance based on the probabilistic random model. By comparison and analysis,it shows that the evaluation of structural seismic performance based on convex model not only reduces the variability,but also is reasonable and applicable to some extent.
引文
[1]JIANG Chao,BI Rengui,LU Guoying,et al.Structural reliability analysis using non-probabilistic convex model[J].Computer Methods in Applied Mechanics and Engineering,2013,254:83-98.
[2]BEN-HAIM Y,ELISHAKOFF I.Convex models of uncertainty in applied mechanics[M].Amsterdam:Elsevier Science Publisher,1990.
[3]JIANG Chao,LI Wenxue,HAN Xu,et al.Structural reliability analysis based on random distributions with interval parameters[J].Computers&Structures,2011,89(23):2292-2302.
[4]TZAN S R,PANTELIDES C P.Convex models for impulsive response ofstructures[J].Journal of Engineering Mechanics,1996,122(6):521-528.
[5]JIANG Chao,HAN Xu,LI Wenxue,et al.A hybrid reliability approach based on probability and interval for uncertain structures[J].ASME,Journal of Mechanical Design,2012,134(3):1-11.
[6]张之颖,张景绘.反应谱参量双界限凸集模型及其地震作用效应[J].西安交通大学学报,1999,33(2):46-50.
[7]JIANG Chao,NI Bingyu,HAN Xu,et al.Non-probabilistic convex model process:A new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems[J].Computer Methods in Applied Mechanics and Engineering,2014,268:656-676.
[8]郭书祥,吕震宙.结构可靠性分析的概率和非概率混合模型[J].机械强度,2002,24(4):524-526.
[9]JANG Huanjun,CHEN Linzhi,CHEN Qian.Seismic damage assessment and performance levels of reinforced concrete members[J].Procedia Engineering,2011,14:939-945.
[10]李刚,程耿东.基于性能的结构抗震设计——理论、方法与应用[M].北京:科学出版社,2004.
[11]KRAWINKLER H,SENEVIRATION G D P K.Pros and cons of a push-over analysis of seismic performance evaluation[J].Engineering Structure,1998,20(5):452-464.
[12]FEMA273.NEHRP guidelines for the seismic rehabilitation of building[S].Washington D C:Federal Emergency Management Agency,1997.
[13]BAI J W.Seismic fragility analysis and loss estimation for concrete structures[D].College Station:Texas A&M University,2011.
[14]FEMA366.HAZUS 99 estimated annualized earthquake looses for the United States[S].Washington D C:Federal Emergency Management Agency,2001.
[15]BAIYingchun,HAN Xu,JIANG Chao,et al.A responsesurface-based structural reliability analysis method by using non-probability convex model[J].Applied Mathematical Modeling,2014,38:3834-3847.
[16]王睿星,王晓军,王磊,等.几种结构非概率可靠性模型的比较研究[J].应用数学与力学,2013,34(8):871-880.
[17]贾立哲,段忠东,陆钦年.基于凸集模型的界限Pushover分析[J].地震工程与工程振动,2006,26(5):81-87.
[18]杨溥,李英民,赖明.结构时程分析法输入地震波的选择控制指标[J].土木工程学报,2000,33(6):33-37.
[19]VAMVATSIKOS D,CORNELL A C.Incremental dynamicanalysis[J].Earthquake Engineering&Structure Dynamics.2002,31(3):491-514.
[2]BEN-HAIM Y,ELISHAKOFF I.Convex models of uncertainty in applied mechanics[M].Amsterdam:Elsevier Science Publisher,1990.
[3]JIANG Chao,LI Wenxue,HAN Xu,et al.Structural reliability analysis based on random distributions with interval parameters[J].Computers&Structures,2011,89(23):2292-2302.
[4]TZAN S R,PANTELIDES C P.Convex models for impulsive response ofstructures[J].Journal of Engineering Mechanics,1996,122(6):521-528.
[5]JIANG Chao,HAN Xu,LI Wenxue,et al.A hybrid reliability approach based on probability and interval for uncertain structures[J].ASME,Journal of Mechanical Design,2012,134(3):1-11.
[6]张之颖,张景绘.反应谱参量双界限凸集模型及其地震作用效应[J].西安交通大学学报,1999,33(2):46-50.
[7]JIANG Chao,NI Bingyu,HAN Xu,et al.Non-probabilistic convex model process:A new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems[J].Computer Methods in Applied Mechanics and Engineering,2014,268:656-676.
[8]郭书祥,吕震宙.结构可靠性分析的概率和非概率混合模型[J].机械强度,2002,24(4):524-526.
[9]JANG Huanjun,CHEN Linzhi,CHEN Qian.Seismic damage assessment and performance levels of reinforced concrete members[J].Procedia Engineering,2011,14:939-945.
[10]李刚,程耿东.基于性能的结构抗震设计——理论、方法与应用[M].北京:科学出版社,2004.
[11]KRAWINKLER H,SENEVIRATION G D P K.Pros and cons of a push-over analysis of seismic performance evaluation[J].Engineering Structure,1998,20(5):452-464.
[12]FEMA273.NEHRP guidelines for the seismic rehabilitation of building[S].Washington D C:Federal Emergency Management Agency,1997.
[13]BAI J W.Seismic fragility analysis and loss estimation for concrete structures[D].College Station:Texas A&M University,2011.
[14]FEMA366.HAZUS 99 estimated annualized earthquake looses for the United States[S].Washington D C:Federal Emergency Management Agency,2001.
[15]BAIYingchun,HAN Xu,JIANG Chao,et al.A responsesurface-based structural reliability analysis method by using non-probability convex model[J].Applied Mathematical Modeling,2014,38:3834-3847.
[16]王睿星,王晓军,王磊,等.几种结构非概率可靠性模型的比较研究[J].应用数学与力学,2013,34(8):871-880.
[17]贾立哲,段忠东,陆钦年.基于凸集模型的界限Pushover分析[J].地震工程与工程振动,2006,26(5):81-87.
[18]杨溥,李英民,赖明.结构时程分析法输入地震波的选择控制指标[J].土木工程学报,2000,33(6):33-37.
[19]VAMVATSIKOS D,CORNELL A C.Incremental dynamicanalysis[J].Earthquake Engineering&Structure Dynamics.2002,31(3):491-514.