结构周期延长对倒塌分析中地震动强度指标选择的影响
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摘要
当结构在强震作用下接近倒塌状态时,其刚度和承载力的退化会导致结构周期延长,为此,研究了周期延长对地震动强度指标选择的影响,将不同周期调整系数β对应的谱加速度(S_a(βT_1),T_1为弹性基本周期)作为地震动强度指标时,研究其倒塌分析结果的离散性。基于等效单自由度结构周期(T_(eq)),提出了等效周期谱加速度(S_a(T_(eq)))。研究结果表明:当周期调整系数β增大时,结构抗倒塌能力分析结果的离散性呈现先减小后增大的趋势。与传统地震动强度指标S_a(T_1)相比,所提出的S_a(T_(eq))可以考虑结构非线性变形引起的周期延长,能有效降低倒塌分析结果的离散性达30%以上。
The structural periods will be elongated due to strength and stiffness degradation when structures are near collapse state under strong earthquakes. This paper investigated the influence of structural period elongation on the selection of ground motion intensity index. The discreteness of collapse analysis results were studied,when S_a( βT_1)( T_1 is the elastic fundamental period) corresponding to different period adjustment coefficient β was used as a ground motion intensity index. Based on the equivalent single degree freedom structural period( T_(eq)),a new ground motion intensity index( S_a( T_(eq))) was proposed. The results show that when the period adjustment coefficient β increases,the discreteness of collapse analysis decreases initially and then increases. Compared with the traditional intensity index S_a( T_1),S_a( T_(eq)) can reflect the influence of structural period elongation due to structural nonlinear deformation and efficiently reduce the dispersion of results in collapse analysis by above 30%.
The structural periods will be elongated due to strength and stiffness degradation when structures are near collapse state under strong earthquakes. This paper investigated the influence of structural period elongation on the selection of ground motion intensity index. The discreteness of collapse analysis results were studied,when S_a( βT_1)( T_1 is the elastic fundamental period) corresponding to different period adjustment coefficient β was used as a ground motion intensity index. Based on the equivalent single degree freedom structural period( T_(eq)),a new ground motion intensity index( S_a( T_(eq))) was proposed. The results show that when the period adjustment coefficient β increases,the discreteness of collapse analysis decreases initially and then increases. Compared with the traditional intensity index S_a( T_1),S_a( T_(eq)) can reflect the influence of structural period elongation due to structural nonlinear deformation and efficiently reduce the dispersion of results in collapse analysis by above 30%.
引文
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[2]MAISON B F,KASAI K,DEIERLEIN G.PBEEevaluation of E-defense collapse experiment[C]//The14th World Conference on Earthquake Engineering.Beijing:China Earthquake Administration,2008:Paper ID:S17-01-016.
[3]DENIZ D.Stochastic prediction of collapse of building structures under seismic excitations[D].UrbanaChampaign:University of Illinois at UrbanaChampaign,2015.
[4]BERTERO V V.Strength and deformation capacities of buildings under extreme environments[J].Structural Engineering and Mechanics,1977,53(1):29-79.
[5]VAMVATSIKOS D,CORNELL C A.Incremental dynamic analysis[J].Earthquake Engineering&Structural Dynamics,2002,31(3):491-514.
[6]VAMVATSIKOS D,CORNELL C A.Applied incremental dynamic analysis[J].Earthquake Spectra,2004,20(2):523-553.
[7]VAMVATSIKOS D,CORNELL C A.Developing efficient scalar and vector intensity measures for IDAcapacity estimation by incorporating elastic spectral shape information[J].Earthquake Engineering&Structural Dynamics,2005,34(13):1573-1600.
[8]韩建平,陈继强,闫青,罗熠.考虑谱形影响的地震动强度指标研究进展[J].工程力学,2015,32(10):9-17.(HAN Jianping,CHEN Jiqiang,YANQing,LUO Yi.State of the art of ground motion intensity measures accounting for the influence of spectral shape[J].Engineering Mechanics,2015,32(10):9-17.(in Chinese)
[9]韩建平,周伟,李慧.基于汶川地震数据的地震动强度指标与中长周期SDOF体系最大响应相关性[J].工程力学,2011,28(10):185-196.(HAN Jianping,ZHOU Wei,LI Hui.Correlation between ground motion intensity indices and SDOF system responses with medium-to-long period based on the wenchuan earthquake data[J].Engineering Mechanics,2011,28(10):185-196.(in Chinese))
[10]韩建平,周伟.基于汶川地震记录的地震动强度指标与SDOF体系响应的相关性[J].土木工程学报,2010,43(增刊1):10-15.(HAN Jianping,ZHOUWei.Correlation between ground motion intensity indices and SDOF system responses based on the data of Wenchuan earthquake[J].China Civil Engineering Journal,2010,43(Suppl.1):10-15.(in Chinese))
[11]FAJFAR P,VIDIC T V Z,FISCHINGER M.Ameasure of earthquake motion capacity to damage medium-period structures[J].Soil Dynamics and Earthquake Engineering,1990,9(5):236-242.
[12]郝敏,刘晶波,谢礼立.基于RC框架结构破坏损伤的地震烈度物理标准研究[J].大连理工大学学报,2006,46(增刊1):99-104.(HAO Min,LIU Jingbo,XIE Lili.Study on physical measure of seismic intensity based on damage to RC frames[J].Journal of Dalian University of Technology,2006,46(Suppl.1):99-104.(in Chinese))
[13]BIASIO M D,GRANGE S,DUFOUR,F,et al.Intensity measures for probabilistic assessment of nonstructural components acceleration demand[J].Earthquake Engineering&Structural Dynamics,2015,44(13):2261-2280.
[14]KATSANOS E I,SEXTOS A G.Inelastic spectra to predict period elongation of structures under earthquake loading[J].Earthquake Engineering&Structural Dynamics,2015(44):1765-1782.
[15]KADAS K,YAKUT A,KAZAZ I.Spectral ground motion intensity based on capacity and period elongation[J].Journal of Structural Engineering,2011,137(3):401-409.
[16]左占宣.钢筋混凝土框架结构抗地震倒塌能力研究[D].哈尔滨:哈尔滨工业大学,2016:31-32.(ZUO Zhanxuan.Reasearch on seismic collapse resistant capacity of reinforced concrete frame structure[D].Harbin:Harbin Institute of Technology,2016:31-32.(in Chinese))
[17]CHOPRA A K,GOEL R K.Capacity-demand-diagram methods for estimating seismic deformation of inelastic structures:SDF systems[R].Berkeley,California:Pacific Earthquake Engineering Research Center,University of California at Berkeley,1999:1-67.
[18]VENTURE S J,COMMITTEE G D,VENTURE S J,et al.Recommended seismic design criteria for new steel moment-frame buildings[R].Washington DC:Federal Emergency Management Agency,2000.
[19]VAMVATSIKOS D,CORNELL C A.Tracing and post processing of IDA curves:theory and software implementation[R].Stanford:Stanford University,2001.
[20]Federal Emergency Management Agency.Quantification of building seismic performance factors:FEMA P695[R].Washington DC:Federal Emergency Management Agency,2009.
[21]LI Shuang,ZUO Zhanxuan,ZHAI Changhai,et al.Shaking table test on collapse process of a reinforced concrete frame structure[J].Engineering Structures,2016,118:156-166.
[22]MCKENNA F,FENVES G L,SCOTT M H.Open system for earthquake engineering simulation[R].Berkeley,California:Pacific Earthquake Engineering Research Center,University of California at Berkeley,2000.