单自由度体系等强度残余位移谱研究
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摘要
残余位移是基于性能抗震设计方法中一个重要的性能参数,其研究逐步得到重视,但是目前还没有简单有效的工程计算方法。该文通过计算不同参数的双折线单自由度(SDOF)体系在120条地震动作用下的残余位移响应,提出残余位移角的概念,分析屈服后刚度比、强度折减系数、周期、场地条件等参数对残余位移角的影响。分析结果表明,屈服后刚度比、周期、场地条件是影响结构震后残余位移率的主要参数,其中以屈服后刚度比的影响最为明显,而强度折减系数对残余位移率的影响不明显。文中还分析了地震动峰值参数(PGA、PGV、PGD)与残余位移率之间的相关性,结果显示地震动峰值参数与残余位移率的相关性随周期的不同而不同,其中以PGV参数与残余位移之间的相关性最好。基于这些研究,给出等强度残余位移谱,并且提出形式简单的拟合公式。
Residual deformation is a vital parameter for Performance-Based Seismic Design(PBSD),which attracts research attentions all around the world.However,there is no efficient way to calculate the residual deformation of structure after it experiences a major earthquake.This study calculated the residual deformation of SDOF(singledegree of freedom) system with various parameters under 120 different earthquake inputs.The concept of residual deformation ratio was proposed.The influences of post-yield stiffness ratio,strength reduction ratio,structure period and site condition on the residual deformation ratio were evaluated.The analysis results show that the post-yield stiffness ratio,structure period and site condition are three major parameters,among which the post-yield stiffness ratio is the most important parameter that controls the residual deformation.The influence of strength reduction ratio can be neglected.This work also analyzed the correlation between residual deformation and three ground motion intensity indices,namely,Peak Ground Acceleration(PGA),Peak Ground Velocity(PGV) and Peak Ground Displacement(PGD).The results show that the Spearman correlation coefficient between PGA / PGV / PGD and residual deformation ratio differs with the structure period,and PGV has the best linear correlation among these three indices.Based on these studies,a constantrelative-strength residual deformation ratio spectrum was proposed and a fitting formula in simple form was presented for seismic design.
Residual deformation is a vital parameter for Performance-Based Seismic Design(PBSD),which attracts research attentions all around the world.However,there is no efficient way to calculate the residual deformation of structure after it experiences a major earthquake.This study calculated the residual deformation of SDOF(singledegree of freedom) system with various parameters under 120 different earthquake inputs.The concept of residual deformation ratio was proposed.The influences of post-yield stiffness ratio,strength reduction ratio,structure period and site condition on the residual deformation ratio were evaluated.The analysis results show that the post-yield stiffness ratio,structure period and site condition are three major parameters,among which the post-yield stiffness ratio is the most important parameter that controls the residual deformation.The influence of strength reduction ratio can be neglected.This work also analyzed the correlation between residual deformation and three ground motion intensity indices,namely,Peak Ground Acceleration(PGA),Peak Ground Velocity(PGV) and Peak Ground Displacement(PGD).The results show that the Spearman correlation coefficient between PGA / PGV / PGD and residual deformation ratio differs with the structure period,and PGV has the best linear correlation among these three indices.Based on these studies,a constantrelative-strength residual deformation ratio spectrum was proposed and a fitting formula in simple form was presented for seismic design.
引文
[1]梁兴文.结构抗震性能设计理论与方法[M].北京:科学出版社,2011
[2]Riddell R,Newmark N M.Statistical analysis of the response of nonlinear systems subjected to earthquakes[R].Urbana:University of Illinois,1979
[3]Macrae G A,Kawashima K.Post-earthquake residual displacements of bilinear oscillators[J].Earthquake Engineering&Structural Dynamics,1997,26(7):701-716
[4]Borzi B,Calvi G M,Elnashai A S,et al.Inelastic spectra for displacement-based seismic design[J].Soil Dynamics and Earthquake Engineering,2001,21(1):47-61
[5]Christopoulos C,Pampanin S,Nigel Priestley M J.Performance-based seismic response of frame structures including residual deformations.Part I:single-degree of freedom systems[J].Journal of Earthquake Engineering,2003,7(1):97-118
[6]Design specifications of highway bridges.Part V:seismic design[S].Tokyo:Maruzen Publishing Company,1996
[7]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 Structures,2009,30(2):17-29(in Chinese))
[8]孙泽阳,吴刚,吴智深,等.钢-连续纤维复合筋增强混凝土柱抗震性能试验研究[J].土木工程学报,2011,44(11):24-33(Sun Zeyang,Wu Gang,Wu Zhishen,et al.Experimental study on seismic performance of concrete columns reinforced by steel-FRP composite bars[J].China Civil Engineering Journal,2011,44(11):24-33(in Chinese))
[9]吕红山,赵凤新.适用于中国场地分类的地震动反应谱放大系数[J].地震学报,2007,29(1):67-76(Lu Hongshan,Zhao Fengxin.Site coefficients suitable to China site category[J].Acta Seismologica Sinica,2007,29(1):67-76(in Chinese))
[10]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))
[11]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(Yang Pu,Li Yingmin,Lai Ming.A new method for selecting inputting waves for time-history analysis[J].China Civil Engineering Journal,2000,33(6):33-37(in Chinese))
[12]R.L.奥特,M.朗格内克.统计学方法与数据分析引论[M].北京:科学出版社,2003
[13]叶列平,马千里,缪志伟.结构抗震分析用地震动强度指标的研究[J].地震工程与工程振动,2009,29(4):9-22(Ye Lieping,Ma Qianli,Miao Zhiwei.Study on earthquake intensities for seismic analysis of structures[J].Earthquake Engineering and Engineering Vibration,2009,29(4):9-22(in Chinese))
[14]易伟建,张海燕.弹塑性反应谱的比较及其应用[J].湖南大学学报:自然科学版,2005,32(2):42-45(Yi Weijian,Zhang Haiyan.Comparison and application of elastic-plastic response spectra[J].Journal of Hunan University:Natural Sciences Edition,2005,32(2):42-45(in Chinese))
[15]翟长海,谢礼立,张敏政.工程结构等强度位移比谱研究[J].哈尔滨工业大学学报,2005,37(1):45-48,73(Zhai Changhai,Xie Lili,Zhang Minzheng.A study on constant-relative-strength inelastic displacement ratio spectra for evaluation of existing structures[J].Journal of Harbin Institute of Technology,2005,37(1):45-48(in Chinese))
[16]Miranda E.Estimation of inelastic deformation demands of SDOF systems[J].Journal of Structural Engineering,2001,127(9):1005-1012
[17]Ruiz-Garcia J,Miranda E,Performance-based assessment of existing structures accounting for residual displacements[R].Stanford:Stanford University,2005
[2]Riddell R,Newmark N M.Statistical analysis of the response of nonlinear systems subjected to earthquakes[R].Urbana:University of Illinois,1979
[3]Macrae G A,Kawashima K.Post-earthquake residual displacements of bilinear oscillators[J].Earthquake Engineering&Structural Dynamics,1997,26(7):701-716
[4]Borzi B,Calvi G M,Elnashai A S,et al.Inelastic spectra for displacement-based seismic design[J].Soil Dynamics and Earthquake Engineering,2001,21(1):47-61
[5]Christopoulos C,Pampanin S,Nigel Priestley M J.Performance-based seismic response of frame structures including residual deformations.Part I:single-degree of freedom systems[J].Journal of Earthquake Engineering,2003,7(1):97-118
[6]Design specifications of highway bridges.Part V:seismic design[S].Tokyo:Maruzen Publishing Company,1996
[7]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 Structures,2009,30(2):17-29(in Chinese))
[8]孙泽阳,吴刚,吴智深,等.钢-连续纤维复合筋增强混凝土柱抗震性能试验研究[J].土木工程学报,2011,44(11):24-33(Sun Zeyang,Wu Gang,Wu Zhishen,et al.Experimental study on seismic performance of concrete columns reinforced by steel-FRP composite bars[J].China Civil Engineering Journal,2011,44(11):24-33(in Chinese))
[9]吕红山,赵凤新.适用于中国场地分类的地震动反应谱放大系数[J].地震学报,2007,29(1):67-76(Lu Hongshan,Zhao Fengxin.Site coefficients suitable to China site category[J].Acta Seismologica Sinica,2007,29(1):67-76(in Chinese))
[10]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))
[11]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(Yang Pu,Li Yingmin,Lai Ming.A new method for selecting inputting waves for time-history analysis[J].China Civil Engineering Journal,2000,33(6):33-37(in Chinese))
[12]R.L.奥特,M.朗格内克.统计学方法与数据分析引论[M].北京:科学出版社,2003
[13]叶列平,马千里,缪志伟.结构抗震分析用地震动强度指标的研究[J].地震工程与工程振动,2009,29(4):9-22(Ye Lieping,Ma Qianli,Miao Zhiwei.Study on earthquake intensities for seismic analysis of structures[J].Earthquake Engineering and Engineering Vibration,2009,29(4):9-22(in Chinese))
[14]易伟建,张海燕.弹塑性反应谱的比较及其应用[J].湖南大学学报:自然科学版,2005,32(2):42-45(Yi Weijian,Zhang Haiyan.Comparison and application of elastic-plastic response spectra[J].Journal of Hunan University:Natural Sciences Edition,2005,32(2):42-45(in Chinese))
[15]翟长海,谢礼立,张敏政.工程结构等强度位移比谱研究[J].哈尔滨工业大学学报,2005,37(1):45-48,73(Zhai Changhai,Xie Lili,Zhang Minzheng.A study on constant-relative-strength inelastic displacement ratio spectra for evaluation of existing structures[J].Journal of Harbin Institute of Technology,2005,37(1):45-48(in Chinese))
[16]Miranda E.Estimation of inelastic deformation demands of SDOF systems[J].Journal of Structural Engineering,2001,127(9):1005-1012
[17]Ruiz-Garcia J,Miranda E,Performance-based assessment of existing structures accounting for residual displacements[R].Stanford:Stanford University,2005
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