单自由度体系残余位移分析及损伤评价
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摘要
结构经历地震后的残余位移可作为结构震后可修复能力的重要指标,研究结构的残余位移对于地震灾区震损结构性能的评价具有重要意义。本文以双线型单自由度体系为计算模型,选取了中国规范对应的4种场地120条地震动,通过弹塑性动力时程分析,分析了场地条件、屈服后刚度比、强度折减系数和周期等参数对残余位移的影响。分析结果表明,场地条件、屈服后刚度比和周期是影响残余位移的主要因素,强度折减系数对残余位移的影响不大。相关性分析表明,结构的残余位移与最大位移、滞回耗能之间存在较好的线性关系。以Park-Ang损伤模型为基础,提出了震后单自由度体系基于残余位移的损伤评价方法。
Residual displacement is an important index for the repairable ability of structures after earthquake striking,so it is of great significance to analyze the residual displacement for evaluating the structural performance after earthquakes. In this paper,120 ground motions from four kinds of sites have been selected for the bilinear single degree of freedom(SDOF) system. Through the elastic-plastic dynamic time history analysis,the parameters such as site condition,post-yield stiffness ratio,strength reduction coefficient and period are analyzed to find out their effects on residual displacement. The results show that site condition,post-yield stiffness ratio and period are the main factors affecting residual displacement,but the strength reduction coefficient has little effect on residual displacement. The correlation analysis shows that there is a good linear relationship among the residual displacement,the maximum displacement and the hysteretic energy. On the basis of Park-Ang damage model,a damage evaluation method based on residual displacement is proposed for SDOF system.
Residual displacement is an important index for the repairable ability of structures after earthquake striking,so it is of great significance to analyze the residual displacement for evaluating the structural performance after earthquakes. In this paper,120 ground motions from four kinds of sites have been selected for the bilinear single degree of freedom(SDOF) system. Through the elastic-plastic dynamic time history analysis,the parameters such as site condition,post-yield stiffness ratio,strength reduction coefficient and period are analyzed to find out their effects on residual displacement. The results show that site condition,post-yield stiffness ratio and period are the main factors affecting residual displacement,but the strength reduction coefficient has little effect on residual displacement. The correlation analysis shows that there is a good linear relationship among the residual displacement,the maximum displacement and the hysteretic energy. On the basis of Park-Ang damage model,a damage evaluation method based on residual displacement is proposed for SDOF system.
引文
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[4]张勤,朱绩超,贡金鑫.单自由度体系地震残余变形分析及计算[J].土木建筑与环境工程,2013,35(3):32-41.ZHANG Qin,ZHU Jichao,GONG Jinxin.Post-earthquake residual deformation prediction of SDOF system[J].Journal of Civil,Architecture&Environmental Engineering,2013,35(3):32-41.(in Chinese)
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[10]胡晓斌,贺慧高.等强残余位移系数谱研究[J].工程力学,2015,32(1):163-167.HU Xiaobin,HE Huigao.Study on equal-strength residual displacement ratio spectrum[J].Engineering Mechanics,2015,32(1):163-167.(in Chinese)
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[12]Pacific Earthquake Engineering Research Center.PEER Ground Motion Database[DB].http://peer.Berkeley.edu/peer.ground.motion.database,2010.
[13]郝建兵,吴刚,吴智深.单自由度体系等强度残余位移谱研究[J].土木工程学报,2013,46(10):82-88.HAO Jianbing,WU Gang,WU Zhishen.A study on constant-relative-strength residual deformation ratio spectrum of SDOF system[J].China Civil Engineering Journal,2013,46(10):82-88.(in Chinese)
[14]郭锋,吴东明,许国富,等.中外抗震设计规范场地分类对应关系[J].土木工程与管理学报,2011,28(2):63-66.GUO Feng,WU Dongming,XU Guofu,et al.Site classification corresponding relationship between Chinese and the overseas seismic design codes[J].Journal of Civil Engineering and Management,2011,28(2):63-66.(in Chinese)
[15]Park Y J,Ang A H S.Mechanistic seismic damage model for reinforced concrete[J].Journal of Structural Engineering,1985,111(4):722-739.
[16]Park Y J,Ang A H S.Wen Y K.Seismic damage analysis of reinforced concrete buildings[J].Journal of Structural Engineering,1985,111(4):740-757.
[2]Takada S,Okimura T,Lee T Y.Seismic motion and damage characteristics[R].Tokyo:Preliminary Report on the Great Hanshin Earthquake Japan Society of Civil Engineers,Tokyo,Japan,1995,270-286.
[3]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&Building Press,2010.(in Chinese)
[4]张勤,朱绩超,贡金鑫.单自由度体系地震残余变形分析及计算[J].土木建筑与环境工程,2013,35(3):32-41.ZHANG Qin,ZHU Jichao,GONG Jinxin.Post-earthquake residual deformation prediction of SDOF system[J].Journal of Civil,Architecture&Environmental Engineering,2013,35(3):32-41.(in Chinese)
[5]MacRae G A,Kawashima K.Post-earthquake residual displacements of bilinear oscillators[J].Earthquake Engineering and Structural Dynamics,1997,26:701-716.
[6]Ruiz-Garcia J,Miranda E.Residual displacement ratios for assessment of existing structures[J].Earthquake Engineering&Structural Dynamics,2006,35(3):315-336.
[7]Kawashima K,Macrae G A,Hoshikuma J I,et al.Residual displacement response spectrum[J].Journal of Structural Engineering,1998,124(5):523-530.
[8]叶列平,陆新征,马千里,等.屈服后刚度对建筑结构地震响应影响的研究[J].建筑结构学报,2009,30(2):17-29.YE Lieping,LU Xinzheng,MA Qianli,et al.Influence of post-yielding stiffness to seismic response of building structures[J].Journal of Building Structure,2009,30(2):17-29.(in Chinese)
[9]欧阳承新,刘畅.单自由度体系的地震残余变形研究[J].世界地震工程,2010,16(1):143-146.OUYANG Chengxin,LIU Chang.Residual displacement of SDOF system under earthquakes[J].World Earthquake Engineering,2010,16(1):143-146.(in Chinese)
[10]胡晓斌,贺慧高.等强残余位移系数谱研究[J].工程力学,2015,32(1):163-167.HU Xiaobin,HE Huigao.Study on equal-strength residual displacement ratio spectrum[J].Engineering Mechanics,2015,32(1):163-167.(in Chinese)
[11]Zhai C H,Wen W P,Chen Z Q,et al.Damage spectra for the mainshock-aftershock sequence-type ground motions[J].Soil Dynamics and Earthquake Engineering,2013,45:1-12.
[12]Pacific Earthquake Engineering Research Center.PEER Ground Motion Database[DB].http://peer.Berkeley.edu/peer.ground.motion.database,2010.
[13]郝建兵,吴刚,吴智深.单自由度体系等强度残余位移谱研究[J].土木工程学报,2013,46(10):82-88.HAO Jianbing,WU Gang,WU Zhishen.A study on constant-relative-strength residual deformation ratio spectrum of SDOF system[J].China Civil Engineering Journal,2013,46(10):82-88.(in Chinese)
[14]郭锋,吴东明,许国富,等.中外抗震设计规范场地分类对应关系[J].土木工程与管理学报,2011,28(2):63-66.GUO Feng,WU Dongming,XU Guofu,et al.Site classification corresponding relationship between Chinese and the overseas seismic design codes[J].Journal of Civil Engineering and Management,2011,28(2):63-66.(in Chinese)
[15]Park Y J,Ang A H S.Mechanistic seismic damage model for reinforced concrete[J].Journal of Structural Engineering,1985,111(4):722-739.
[16]Park Y J,Ang A H S.Wen Y K.Seismic damage analysis of reinforced concrete buildings[J].Journal of Structural Engineering,1985,111(4):740-757.