结构随机延性需求谱的理论研究
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摘要
引入结构屈服水平系数,建立了结构的延性需求谱,使地震动的幅值特性和频谱特性可以分开考虑。利用双线性单自由度体系的时程反应分析结果,对延性需求系数的条件分布类型进行了假设检验,通过回归得到了Ⅰ类和Ⅱ类场地上延性系数的条件均值和条件标准差的拟合公式。在此基础上,提出了延性系数的统计参数的计算方法,建立了随机的延性需求谱,进而可获得随机的弹塑性位移反应谱。
By introducing the yielding level factor and constructing the ductility demand spectrum,the characteristic of peak values and frequency contents of ground motions are considered separately.Taking advantage of nonlinear time history analysis results of a single-degree-of-freedom system with the hysteretic model of bilinear,conditional distribution type of ductility demand factors are verified by goodness-of-fit tests.The formulations of the conditional mean and standard deviation of ductility demand factor for soil type I and II are obtained by nonlinear regression.Utilizing these formulations and the conditional probabilistic density function of ductility demand factor,the calculation method of the statistics of ductility factor is proposed,and the probabilistic ductility demand spectrum and displacement response spectrum are established.
By introducing the yielding level factor and constructing the ductility demand spectrum,the characteristic of peak values and frequency contents of ground motions are considered separately.Taking advantage of nonlinear time history analysis results of a single-degree-of-freedom system with the hysteretic model of bilinear,conditional distribution type of ductility demand factors are verified by goodness-of-fit tests.The formulations of the conditional mean and standard deviation of ductility demand factor for soil type I and II are obtained by nonlinear regression.Utilizing these formulations and the conditional probabilistic density function of ductility demand factor,the calculation method of the statistics of ductility factor is proposed,and the probabilistic ductility demand spectrum and displacement response spectrum are established.
引文
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[11]陈聃.抗震结构的延性谱[R].清华大学抗震抗爆工程研究报告集.北京:清华大学出版社,1980.Chen Dan.Ductility spectrum of seismic-resistant structures[R].Research Reports of Seismic-and Exploding-Resistant Engineering of Tsinghua University.Beijing:Tsinghua University Press,1980.(in Chinese)
[2]Elghadamsi F E,Mohraz B.Inelastic earthquake spectra[J].Earthquake Engng.Struct.Dyn.,1987,15:91～104.
[3]Chopra A K,Goel R K,Capacity-demand-diagram methods for estimating seismic deformation of inelastic structures:SDF systems[R].Pacific Earthquake Engrg.Res.Ctr.,University of California,Berkeley,Calif.Report No.PEER-1999/02,1999.
[4]吕西林,周定松.考虑场地类别与设计分组的延性需求谱和弹塑性位移反应谱[J].地震工程与工程振动,2004,24(1):39～48.LüXilin,Zhou Dingsong.Ductility demand spectra and inelastic displacement spectra considering soil conditions and design characteristic periods[J].Earthquake Engineering and Engineering Vibrations,2004,24(1):39～48.(in Chinese)
[5]Tena-Colunga A.Displacement ductility demand spectra for the seismic evaluation of structures[J].Engng Struct.,2001(23):1319～1330.
[6]Miranda E.Estimation of inelastic deformation demands of SDOF systems[J].J.Struct.Engng.ASCE,2001,127(9):1005～1012.
[7]欧进萍,刘会仪.基于随机地震动模型的结构随机地震反应谱及其应用[J].地震工程与工程振动,1994,14(3):14～22.Ou Jinping,Liu Huiyi.Random seismic response spectrum and its application based on the random seismic ground motion[J].Earthquake Engineering and Engineering Vibration,1994,14(3):14～22.(in Chinese)
[8]欧进萍,侯纲领,吴斌.概率Pushover分析方法及其在结构体系抗震可靠度评估中的应用[J].建筑结构学报,2001,22(6):81～86.Ou Jinping,Hou Gangling,Wu Bin.Random pushover analysis method and its application in earthquake-resistant reliability evaluation of structural systems[J].Journal of Building Structures,2001,22(6):81～86.(in Chinese)
[9]Fajfar.P.,Capacity spectrum method based on inelastic demand spectra[J].Earthquake Eng.Struct.Dyn.,1999,28:979～993.
[10]高小旺,龚思礼,苏经宇.建筑抗震设计规范理解与应用[M].北京:中国建筑工业出版社,2002.Gao Xiaowang,Gong Sili,Su Jingxu.Comprehension and application of code for seismic design of buildings[M].Beijing:China Architecture and Building Press.2002.(in Chinese)
[11]陈聃.抗震结构的延性谱[R].清华大学抗震抗爆工程研究报告集.北京:清华大学出版社,1980.Chen Dan.Ductility spectrum of seismic-resistant structures[R].Research Reports of Seismic-and Exploding-Resistant Engineering of Tsinghua University.Beijing:Tsinghua University Press,1980.(in Chinese)
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