位移谱阻尼调整系数模型研究
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摘要
基于408条地震地面运动记录的统计分析,首先研究了地震动持时、矩震级、断层距和场地类别等对阻尼调整系数的影响,然后采用非线性回归分析提出了能体现持时和矩震级影响的阻尼调整系数模型.研究结果表明:持时和矩震级对阻尼调整系数有显著的影响,而断层距和场地类别影响较弱;阻尼调整系数相对于阻尼比存在异方差性;持时的影响可以通过在模型中包含线性震级项来体现.本文所提出的包含线性矩震级项的阻尼调整系数模型既能体现矩震级的影响,也能间接地体现地震动持时对阻尼调整系数的影响;模型的标准差能体现阻尼调整系数相对于阻尼比的异方差性.本文的研究结果可直接用于阻尼比为5%的位移谱衰减模型,也可为我国抗震设计规范的制订和修改提供参考.
Dependencies of the damping scaling factor(DSF)on variables 1including duration,moment magnitude,fault distance,and local site conditions were examined from 408 acceleration time histories.Then the DSF model was derived 2that can be used to capture the influence of duration and moment magnitude.It is shown that the influence of 3duration and moment magnitude on DSF is significant,but that of4 fault distance and local site conditions is weak.Furthermore,the DSF is heteroscedastic,where the variance is a function of the damping ratio.The significant influence of 5duration and moment magnitude can be captured by inclusion of a linear magnitude term in the DSF model.The heteroscedasticity can be reflected in the standard deviation of the DSF model.The results can be directly applicable to the attenuation model for displacement response spectra of 5% damping ratio and can also provide the reference for the revisions of seismic design codes.
Dependencies of the damping scaling factor(DSF)on variables 1including duration,moment magnitude,fault distance,and local site conditions were examined from 408 acceleration time histories.Then the DSF model was derived 2that can be used to capture the influence of duration and moment magnitude.It is shown that the influence of 3duration and moment magnitude on DSF is significant,but that of4 fault distance and local site conditions is weak.Furthermore,the DSF is heteroscedastic,where the variance is a function of the damping ratio.The significant influence of 5duration and moment magnitude can be captured by inclusion of a linear magnitude term in the DSF model.The heteroscedasticity can be reflected in the standard deviation of the DSF model.The results can be directly applicable to the attenuation model for displacement response spectra of 5% damping ratio and can also provide the reference for the revisions of seismic design codes.
引文
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[2]WU J,HANSON R D.Study of inelastic spectra with high damping[J].Journal of Structural Engineering,1989,115(6):1412-1431.
[3]IDRISS I M.Procedures for selecting earthquake ground motions at rock sites[R].Washington,DC:National Institute of Standards and Technology,1993:2-3.
[4]ASHOUR S A.Elastic seismic response of buildings with supplemental damping[D].Ann Arbor:University of Michigan,1987:24-29.
[5]TOLIS S V,FACCIOLI E.Displacement design spectra[J].Journal of Structural Engineering,1999,3(1):107-125.
[6]GB 50011—2001建筑抗震设计规范[S].北京:中国建筑工业出版社,2001:28-29.GB 50011—2001Code for seismic design of buildings[S].Beijing:China Architecture and Building Press,2001:28-29.(In Chinese)
[7]GB 50011—2010建筑抗震设计规范[S].北京:中国建筑工业出版社,2010:33-35.GB 50011—2010Code for seismic design of buildings[S].Beijing:China Architecture and Building Press,2010:33-35.(In Chinese)
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[9]王曙光,杜东升,刘伟庆,等.隔震结构不同阻尼比地震影响系数曲线的改进研究[J].建筑结构学报,2009,30(3):112-119.WANG Shu-guang,DU Dong-sheng,LIU Wei-qing,et al.Research on seismic influence coefficient of seismic isolated structure with different damping ratio[J].Journal of Building Structures,2009,30(3):112-119.(In Chinese)
[10]曹加良,施卫星,汪洋,等.我国抗震设计规范设计反应谱及谱阻尼折减系数研究[J].建筑结构学报,2011,32(9):34-43.CAO Jia-liang,SHI Wei-xing,WANG Yang,et al.Study on spectra and spectral damping reduction factors in Chinese seismic design codes[J].Journal of Building Structures,2011,32(9):34-43.(In Chinese)
[11]LIN Y Y,CHANG K C.Effects of site class on damping reduction factors[J].Journal of Structural Engineering,2004,130(11):1667-1675.
[12]BOMMER J J,MENDIS R.Scaling of spectral displacement ordinates with damping ratios[J].Earthquake Engineering and Structural Dynamics,2005,34(2):145-165.
[13]CAMERON W I,GREEN I.Damping correction factors for horizontal ground motion response spectra[J].Bulletin of the Seismological Society of America,2007,97(3):934-960.
[14]STAFFORD P J,MENDIS R,BOMMER J J.Dependence of damping correction factors for response spectra on duration and numbers of cycles[J].Journal of Structural Engineering,2008,134(8):1364-1373.
[15]ABRAHAMSON N A,SILVA W J.Summary of the Abrahamson&Silva NGA ground motion relations[J].Earthquake Spectra,2008,24(1):67-97.
[16]BOORE D M,ATKINSON G M.Ground-motion prediction equations for the average horizontal component of PGA,PGV,and 5%damped PSA at spectral periods between 0.01sand 10s[J].Earthquake Spectra,2008,24(1):99-138.
[17]CAMPBELL K W,BOZORGNIA Y.NGA ground motion model for the geometric mean horizontal component of PGA,PGV,PGD,and 5%damped linear elastic response spectra for periods ranging from 0.01sto 10.0s[J].Earthquake Spectra,2008,24(1):139-171.
[18]CHIOU B S,YOUNGS R R.An NGA model for the average horizontal component of peak ground motion and response spectra[J].Earthquake Spectra,2008,24(1):173-215.
[19]IDRISS I M.An NGA empirical model for estimating the horizontal spectral values generated by shallow crustal earthquakes[J].Earthquake Spectra,2008,24(1):217-242.
[20]KEMPTON J J,STEWART J P.Prediction equations for significant duration of earthquake ground motions considering site and near-source effects[J].Earthquake Spectra,2006,22(4):985-1013.
[21]谢礼立,张晓志.地震动记录持时和工程持时[J].地震工程与工程振动,1988,8(1):31-38XIE Li-li,ZHANG Xiao-zhi.Accelerogram-based duration and engineering duration of ground motion[J].Earthquake Engineering and Engineering Vibration,1988,8(1):31-38.(In Chinese)
[22]JAYARAM N,BAKER J W.Statistical tests of the joint distribution of spectral acceleration values[J].Bulletin of the Seismological Society of America,2008,98(5):2231-2243.
[23]ARIAS A.A measure of earthquake intensity in seismic design for nuclear power plants[R].Cambridge,MA:MIT Press,1970:438-468.
[24]ASCE 7-10.Minimum design loads for buildings and other structures[S].Washington,DC:American Society of Civil Engineers,2010:203-205.
[25]郝安民,周德源,李亚明,等.考虑震级影响的规范阻尼修正系数评估[J].同济大学学报,2012,40(5):657-661.HAO An-min,ZHOU De-yuan,LI Ya-ming,et al.Evaluation of damping modification factors in codes with a consideration of effect of earthquake magnitude[J].Journal of Tongji University,2012,40(5):657-661.(In Chinese)
[26]ANG A H-S,TANG W H.Probability concepts in engineering planning and design:Volume 1basic principles[M].New York:John Wily&Sons,Inc,1975:297-300.
[2]WU J,HANSON R D.Study of inelastic spectra with high damping[J].Journal of Structural Engineering,1989,115(6):1412-1431.
[3]IDRISS I M.Procedures for selecting earthquake ground motions at rock sites[R].Washington,DC:National Institute of Standards and Technology,1993:2-3.
[4]ASHOUR S A.Elastic seismic response of buildings with supplemental damping[D].Ann Arbor:University of Michigan,1987:24-29.
[5]TOLIS S V,FACCIOLI E.Displacement design spectra[J].Journal of Structural Engineering,1999,3(1):107-125.
[6]GB 50011—2001建筑抗震设计规范[S].北京:中国建筑工业出版社,2001:28-29.GB 50011—2001Code for seismic design of buildings[S].Beijing:China Architecture and Building Press,2001:28-29.(In Chinese)
[7]GB 50011—2010建筑抗震设计规范[S].北京:中国建筑工业出版社,2010:33-35.GB 50011—2010Code for seismic design of buildings[S].Beijing:China Architecture and Building Press,2010:33-35.(In Chinese)
[8]胡聿贤.地震工程学[M].北京:地震出版社,2006:135-138.HU Yu-xian.Earthquake engineering[M].Beijing:Seismological Press,2006:135-138.(In Chinese)
[9]王曙光,杜东升,刘伟庆,等.隔震结构不同阻尼比地震影响系数曲线的改进研究[J].建筑结构学报,2009,30(3):112-119.WANG Shu-guang,DU Dong-sheng,LIU Wei-qing,et al.Research on seismic influence coefficient of seismic isolated structure with different damping ratio[J].Journal of Building Structures,2009,30(3):112-119.(In Chinese)
[10]曹加良,施卫星,汪洋,等.我国抗震设计规范设计反应谱及谱阻尼折减系数研究[J].建筑结构学报,2011,32(9):34-43.CAO Jia-liang,SHI Wei-xing,WANG Yang,et al.Study on spectra and spectral damping reduction factors in Chinese seismic design codes[J].Journal of Building Structures,2011,32(9):34-43.(In Chinese)
[11]LIN Y Y,CHANG K C.Effects of site class on damping reduction factors[J].Journal of Structural Engineering,2004,130(11):1667-1675.
[12]BOMMER J J,MENDIS R.Scaling of spectral displacement ordinates with damping ratios[J].Earthquake Engineering and Structural Dynamics,2005,34(2):145-165.
[13]CAMERON W I,GREEN I.Damping correction factors for horizontal ground motion response spectra[J].Bulletin of the Seismological Society of America,2007,97(3):934-960.
[14]STAFFORD P J,MENDIS R,BOMMER J J.Dependence of damping correction factors for response spectra on duration and numbers of cycles[J].Journal of Structural Engineering,2008,134(8):1364-1373.
[15]ABRAHAMSON N A,SILVA W J.Summary of the Abrahamson&Silva NGA ground motion relations[J].Earthquake Spectra,2008,24(1):67-97.
[16]BOORE D M,ATKINSON G M.Ground-motion prediction equations for the average horizontal component of PGA,PGV,and 5%damped PSA at spectral periods between 0.01sand 10s[J].Earthquake Spectra,2008,24(1):99-138.
[17]CAMPBELL K W,BOZORGNIA Y.NGA ground motion model for the geometric mean horizontal component of PGA,PGV,PGD,and 5%damped linear elastic response spectra for periods ranging from 0.01sto 10.0s[J].Earthquake Spectra,2008,24(1):139-171.
[18]CHIOU B S,YOUNGS R R.An NGA model for the average horizontal component of peak ground motion and response spectra[J].Earthquake Spectra,2008,24(1):173-215.
[19]IDRISS I M.An NGA empirical model for estimating the horizontal spectral values generated by shallow crustal earthquakes[J].Earthquake Spectra,2008,24(1):217-242.
[20]KEMPTON J J,STEWART J P.Prediction equations for significant duration of earthquake ground motions considering site and near-source effects[J].Earthquake Spectra,2006,22(4):985-1013.
[21]谢礼立,张晓志.地震动记录持时和工程持时[J].地震工程与工程振动,1988,8(1):31-38XIE Li-li,ZHANG Xiao-zhi.Accelerogram-based duration and engineering duration of ground motion[J].Earthquake Engineering and Engineering Vibration,1988,8(1):31-38.(In Chinese)
[22]JAYARAM N,BAKER J W.Statistical tests of the joint distribution of spectral acceleration values[J].Bulletin of the Seismological Society of America,2008,98(5):2231-2243.
[23]ARIAS A.A measure of earthquake intensity in seismic design for nuclear power plants[R].Cambridge,MA:MIT Press,1970:438-468.
[24]ASCE 7-10.Minimum design loads for buildings and other structures[S].Washington,DC:American Society of Civil Engineers,2010:203-205.
[25]郝安民,周德源,李亚明,等.考虑震级影响的规范阻尼修正系数评估[J].同济大学学报,2012,40(5):657-661.HAO An-min,ZHOU De-yuan,LI Ya-ming,et al.Evaluation of damping modification factors in codes with a consideration of effect of earthquake magnitude[J].Journal of Tongji University,2012,40(5):657-661.(In Chinese)
[26]ANG A H-S,TANG W H.Probability concepts in engineering planning and design:Volume 1basic principles[M].New York:John Wily&Sons,Inc,1975:297-300.
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