基于《电力设施抗震设计规范》的地震动随机模型参数研究
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摘要
依据《电力设施抗震设计规范》(GB50260-96)中的设计反应谱,对随机地震动功率谱参数的取值进行了具体研究。首先,采用时间包络函数考虑地震的非平稳特性,给出了地震动持时的取值;然后,根据加速度峰值等效原则,迭代计算得到地面的加速度功率谱密度曲线;最后,选定Clough-Penzien修正过滤白噪声模型作为拟合函数,通过非线性拟合技术拟合了与《规范》中的地震烈度、场地类别相对应的谱参数。研究结果表明,Clough-Penzien修正过滤白噪声模型能较好地拟合其曲线形状。本文给出了相对于规范中的地面加速度功率谱参数值,可供这种模型作为地震地面运动输入时选用。
The spectral parameters of a seismic random model have been studied on the basis of the design response spectrum in the Chinese standard Code for design of seismic of electrical Installations(GB50260-96).First,the nonstationarity of the ground motion is represented with an envelope function,which defines the duration of the ground motion at same time.Then,the power spectral density(PSD) of the acce-leration at ground level is evaluated by an iterative approach according to the principle of equivalent peak acceleration.Finally,the Clough-Penzien acceleration spectrum is selected as a target function to calculate the PSD curve through nonlinear fitting on the parameters,such as earthquake intensity and site type,defined in the code.The results show that the Clough-Penzien spectrum can fit the PSD curve well.The spectrum parameters of the random model of ground motion are given in this paper,and they provide a re-ference for the selection of ground motion input.
The spectral parameters of a seismic random model have been studied on the basis of the design response spectrum in the Chinese standard Code for design of seismic of electrical Installations(GB50260-96).First,the nonstationarity of the ground motion is represented with an envelope function,which defines the duration of the ground motion at same time.Then,the power spectral density(PSD) of the acce-leration at ground level is evaluated by an iterative approach according to the principle of equivalent peak acceleration.Finally,the Clough-Penzien acceleration spectrum is selected as a target function to calculate the PSD curve through nonlinear fitting on the parameters,such as earthquake intensity and site type,defined in the code.The results show that the Clough-Penzien spectrum can fit the PSD curve well.The spectrum parameters of the random model of ground motion are given in this paper,and they provide a re-ference for the selection of ground motion input.
引文
[1]Kanai K.Semi-empirical formula for the seismic cha-racteristic of ground[J].Bulletin of the EarthquakeResearch Institute,University of Tokyo,1957,(35):309-325.
[2]胡聿贤,周锡元.弹性体系在平稳和平稳化地面运动下的反应[C]∥地震工程研究所报告集(第一集),北京:科学出版社,1962.Hu Y X,Zhou X Y.Response of elastic systems un-der stationary ground motion[C]∥Report on Earth-quake Engineering(),Beijing:Science Press,1962.
[3]Clough R W,Penzien J.Dynamic of Structure[M].New York:Mc-Graw-Hill,Inc.,1975.
[4]欧进萍,牛荻涛.地震地面运动随机过程模型的参数及其结构效应[J].哈尔滨建筑工程学院学报,1990,23(2):24-34.Ou J P,Niu D T.Parameters in the random processmodels of earthquake ground motion and their effectson the response of structures[J].Chinese Journal ofHarbin Architecture and Civil Engineering Institute,1990,23(2):24-34.
[5]赖明,叶天义,李英民.地震动的双重过滤白噪声模型[J].土木工程学报,1995,28(6):60-66.Lai M,Ye T Y,Li Y M.Bi-filtered white noisemodel of earthquake ground motion[J].Chinese CivilEngineering Journal,1995,28(6):60-66.
[6]杜修力,陈厚群.地震动随机模拟及其参数确定方法[J].地震工程与工程振动,1994,14(4):1-5.Du X L,Chen H Q.Random simulation and its pa-rameter determination method of earthquake groundmotion[J].Chinese Earthquake Engineering andEngineering Vibration,1994,14(4):1-5.
[7]杜修力.水工建筑物抗震可靠度设计和分析用的随机地震输入模型[J].地震工程与工程振动,1998,18(4):76-81.Du X L.A random seismic input model used in seis-mic reliability design and analysis of hydraulic building[J].Chinese Earthquake Engineering and EngineeringVibration,1998,18(4):76-81.
[8]欧进萍,牛荻涛,杜修力.设计随机地震动的模型及其参数确定[J].地震工程与工程振动,1991,11(3):45-53.Ou J P,Niu D T,Du X L.Random earthquakeground motion model and its parameter determinationused in aseismic design[J].Chinese EarthquakeEngineering and Engineering Vibration,1991,11(3):45-53.
[9]洪峰,江近仁,李玉亭.地震地面运动的功率谱模型及其参数的确定[J].地震工程与工程振动,1994,14(2):46-51.Hong F,Jiang J R,Li Y T.Power spectral models ofearthquake ground motions and evaluation of its para-meters[J].Chinese Earthquake Engineering andEngineering Vibration,1994,14(2):46-51.
[10]张冶勇,孙柏涛,宋天舒.新抗震规范地震动功率谱模型参数的研究[J].世界地震工程,2000,16(3):33-38.Zhang Y Y,Sun B T,Song T S.Study on the para-meters of seismic power spectrum model based on thenew seismic code[J].Chinese World Information onEarthquake Engineering,2000,16(3):33-38.
[11]潘晓东,秦从律,钱磊.与建筑抗震设计规范相对应的地面地震动随机参数研究[J].地震研究,2005,28(1):82-85.Pan X D,Qin C L,Qian L.Study on the randommodel parameters of ground motion corresponding tothe architectural aseismic code[J].Chinese Journal ofSeismological Research,2005,28(1):82-85.
[12]薛素铎,王雪生,曹资.基于新抗震规范的地震动随机模型参数研究[J].土木工程学报,2003,36(5):5-10.Xue S D,Wang X S,Cao Z.Parameters study onseismic random model based on the new seismic code[J].Chinese Civil Engineering Journal,2003,36(5):5-10.
[13]GB 50011-2001,建筑抗震设计规范[S].
[14]GB 50260-96,电力设施抗震设计规范[S].
[15]李桂青,曹宏,李秋胜,等.结构动力可靠性理论及其应用[M].北京:地震出版社,1993.Li G Q,Cao H,Li Q S,et al.The Theory and Appli-cation for Dynamics Reliability of Structure[M].Beijing:Seismic Press,1993.
[16]Davenport A G.Note on the distribution of thelargest value of a random function with application togust loading[J].Proceedings of the Institution of CivilEngineering,1964,(28):187-196.
[17]Housner G W,Jennings P C.Generation of artificialearthquake[J].Journal of the Engineering MechanicsDivision,ASCE,1964,90(1):113-150.
[18]Amin M,Ang A H-S.Nonstationary stochastic modelof earthquake motion[J].Journal of the EngineeringMechanics Division,1968,94(EM2):559-583.
[19]江近仁,洪峰.功率谱与反应谱的转换和人造地震波[J].地震工程与工程振动,1984,4(3):1-10.Jiang J R,Hong F.Conversion between powerspectrum and response spectrum and artificial earth-quakes[J].Chinese Earthquake Engineering andEngineering Vibration,1984,4(3):1-10.
[20]孙景江,江近仁.与规范反应谱对应的金井清谱的谱参数[J].世界地震工程,1990,8(1):42-48.
[21]王济,胡晓.MATLAB在振动信号处理中的应用[M].北京:中国水利水电出版社,知识产权出版社,2006.104-107.Wang J,Hu X.Application of MATLAB in Data Pro-cessing for Vibration Signals[M].Beijing:China Wa-terpower Press,China Intellectual Property Press,2006.104-107.
[2]胡聿贤,周锡元.弹性体系在平稳和平稳化地面运动下的反应[C]∥地震工程研究所报告集(第一集),北京:科学出版社,1962.Hu Y X,Zhou X Y.Response of elastic systems un-der stationary ground motion[C]∥Report on Earth-quake Engineering(),Beijing:Science Press,1962.
[3]Clough R W,Penzien J.Dynamic of Structure[M].New York:Mc-Graw-Hill,Inc.,1975.
[4]欧进萍,牛荻涛.地震地面运动随机过程模型的参数及其结构效应[J].哈尔滨建筑工程学院学报,1990,23(2):24-34.Ou J P,Niu D T.Parameters in the random processmodels of earthquake ground motion and their effectson the response of structures[J].Chinese Journal ofHarbin Architecture and Civil Engineering Institute,1990,23(2):24-34.
[5]赖明,叶天义,李英民.地震动的双重过滤白噪声模型[J].土木工程学报,1995,28(6):60-66.Lai M,Ye T Y,Li Y M.Bi-filtered white noisemodel of earthquake ground motion[J].Chinese CivilEngineering Journal,1995,28(6):60-66.
[6]杜修力,陈厚群.地震动随机模拟及其参数确定方法[J].地震工程与工程振动,1994,14(4):1-5.Du X L,Chen H Q.Random simulation and its pa-rameter determination method of earthquake groundmotion[J].Chinese Earthquake Engineering andEngineering Vibration,1994,14(4):1-5.
[7]杜修力.水工建筑物抗震可靠度设计和分析用的随机地震输入模型[J].地震工程与工程振动,1998,18(4):76-81.Du X L.A random seismic input model used in seis-mic reliability design and analysis of hydraulic building[J].Chinese Earthquake Engineering and EngineeringVibration,1998,18(4):76-81.
[8]欧进萍,牛荻涛,杜修力.设计随机地震动的模型及其参数确定[J].地震工程与工程振动,1991,11(3):45-53.Ou J P,Niu D T,Du X L.Random earthquakeground motion model and its parameter determinationused in aseismic design[J].Chinese EarthquakeEngineering and Engineering Vibration,1991,11(3):45-53.
[9]洪峰,江近仁,李玉亭.地震地面运动的功率谱模型及其参数的确定[J].地震工程与工程振动,1994,14(2):46-51.Hong F,Jiang J R,Li Y T.Power spectral models ofearthquake ground motions and evaluation of its para-meters[J].Chinese Earthquake Engineering andEngineering Vibration,1994,14(2):46-51.
[10]张冶勇,孙柏涛,宋天舒.新抗震规范地震动功率谱模型参数的研究[J].世界地震工程,2000,16(3):33-38.Zhang Y Y,Sun B T,Song T S.Study on the para-meters of seismic power spectrum model based on thenew seismic code[J].Chinese World Information onEarthquake Engineering,2000,16(3):33-38.
[11]潘晓东,秦从律,钱磊.与建筑抗震设计规范相对应的地面地震动随机参数研究[J].地震研究,2005,28(1):82-85.Pan X D,Qin C L,Qian L.Study on the randommodel parameters of ground motion corresponding tothe architectural aseismic code[J].Chinese Journal ofSeismological Research,2005,28(1):82-85.
[12]薛素铎,王雪生,曹资.基于新抗震规范的地震动随机模型参数研究[J].土木工程学报,2003,36(5):5-10.Xue S D,Wang X S,Cao Z.Parameters study onseismic random model based on the new seismic code[J].Chinese Civil Engineering Journal,2003,36(5):5-10.
[13]GB 50011-2001,建筑抗震设计规范[S].
[14]GB 50260-96,电力设施抗震设计规范[S].
[15]李桂青,曹宏,李秋胜,等.结构动力可靠性理论及其应用[M].北京:地震出版社,1993.Li G Q,Cao H,Li Q S,et al.The Theory and Appli-cation for Dynamics Reliability of Structure[M].Beijing:Seismic Press,1993.
[16]Davenport A G.Note on the distribution of thelargest value of a random function with application togust loading[J].Proceedings of the Institution of CivilEngineering,1964,(28):187-196.
[17]Housner G W,Jennings P C.Generation of artificialearthquake[J].Journal of the Engineering MechanicsDivision,ASCE,1964,90(1):113-150.
[18]Amin M,Ang A H-S.Nonstationary stochastic modelof earthquake motion[J].Journal of the EngineeringMechanics Division,1968,94(EM2):559-583.
[19]江近仁,洪峰.功率谱与反应谱的转换和人造地震波[J].地震工程与工程振动,1984,4(3):1-10.Jiang J R,Hong F.Conversion between powerspectrum and response spectrum and artificial earth-quakes[J].Chinese Earthquake Engineering andEngineering Vibration,1984,4(3):1-10.
[20]孙景江,江近仁.与规范反应谱对应的金井清谱的谱参数[J].世界地震工程,1990,8(1):42-48.
[21]王济,胡晓.MATLAB在振动信号处理中的应用[M].北京:中国水利水电出版社,知识产权出版社,2006.104-107.Wang J,Hu X.Application of MATLAB in Data Pro-cessing for Vibration Signals[M].Beijing:China Wa-terpower Press,China Intellectual Property Press,2006.104-107.
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