基于水工抗震规范的地震动概率模型研究
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摘要
地震动的强度和频率全非平稳性对结构反应具有重要的影响,尤其对结构非线性反应更为敏感。在平稳地震动过程的Clough-Penzien功率谱基础上,建议一类全非平稳地震动加速度过程的广义Clough-Penzien演变谱模型。应用非平稳随机过程模拟的谱表示-随机函数方法,针对我国《水工建筑物抗震设计规范》(DL 5073–2000)中的4类场地条件,进行全非平稳地震动演变功率谱模型的参数识别研究。同时,建立4类场地条件下的水工建筑物抗震设计所用地震动的代表性样本集合,为水工建筑物抗震设计提供合理的地震动输入。
Non-stationary ground motion with intensity and frequency has important influence on seismic response of structures, especially, on nonlinear response will be more sensitive. Based on the Clough-Penzien power spectrum of stationary ground motion processes, a new evolutionary power spectrum model of non-stationary ground motion is suggested. According to the four types of site condition in the specifications for seismic design of hydraulic structures, the hybrid spectral representation & random function approach of non-stationary stochastic processes is used to identify these parameters of the evolutionary power spectrum model, and generate the representative sample ensemble of non-stationary ground motion. In practice, these representative samples of ground motion can be used to analyse seismic response of hydraulic structures.
Non-stationary ground motion with intensity and frequency has important influence on seismic response of structures, especially, on nonlinear response will be more sensitive. Based on the Clough-Penzien power spectrum of stationary ground motion processes, a new evolutionary power spectrum model of non-stationary ground motion is suggested. According to the four types of site condition in the specifications for seismic design of hydraulic structures, the hybrid spectral representation & random function approach of non-stationary stochastic processes is used to identify these parameters of the evolutionary power spectrum model, and generate the representative sample ensemble of non-stationary ground motion. In practice, these representative samples of ground motion can be used to analyse seismic response of hydraulic structures.
引文
[1]陈厚群,吴胜兴,党发宁.高拱坝抗震安全[M].北京:中国电力出版社,2011
[2]Douglas J,Aochi H.A survey of techniques for predicting earthquake ground motions for engineering purposes[J].Surveys in Geophysics,2008,29(3):187-220
[3]Shinozuka M,Jan C M.Digital simulation of random processes and its applications[J].Journal of Sound and Vibration,1972,25(1):111-128
[4]Priestley M B.Evolutionary spectra and non-stationary processes[J].Journal of the Royal Statistical Society:Series B,1965,27:204-237
[5]刘章军,方兴.平稳地震动过程的随机函数-谱表示模拟[J].振动与冲击,2013,32(24):6-10(Liu Zhangjun,Fang Xing.Simulation of stationary ground motion with random functions and spectral representation[J].Journal of Vibration and Shock,2013,32(24):6-10(in Chinese))
[6]Liang J W,Chaudhuri S R,Shinozuka M.Simulation of nonstationary stochastic processes by spectral representation[J].Journal of Engineering Mechanics,2007,133(6):616-627
[7]Clough R W,Penzien J.Dynamics of Structures[M].second edition.USA:Elsevier Computers and Structures,Inc.,2003
[8]刘章军,曾波,周宜红等.地震动过程的概率模型及在重力坝抗震可靠度分析中的应用[J].水利学报,2014,45(9):1066-1074(Liu Zhangjun,Zeng Bo,Zhou Yihong,et al.Probabilistic model of ground motion processes and seismic dynamic reliability analysis of the gravity dam[J].Journal of Hydraulic Engineering,2014,45(9):1066-1074(in Chinese))
[9]Li Jie,Chen Jianbing.Stochastic dynamics of structures[M].Singapore:John Wiley&Sons,2009
[10]李杰,陈建兵.随机动力系统中的概率密度演化方程及其研究进展[J].力学进展,2010,40(2):170-188(Li Jie,Chen Jianbing.Advances in the research on probability density evolution equations of stochastic dynamical systems[J].Advances in Mechanics,2010,40(2):170-188(in Chinese))
[11]Deodatis G.Non-stationary stochastic vector processes:seismic ground motion applications[J].Probabilistic Engineering Mechanics,1996,11:149-168
[12]Cacciola P,Deodatis G.A method for generating fully nonstationary and spectrum-compatible ground motion vector processes[J].Soil Dynamics and Earthquake Engineering,2011,31:351-360
[13]欧进萍,王光远.结构随机振动[M].北京:高等教育出版社,1998
[14]DL 5073—2000水工建筑物抗震设计规范[S].北京:中国电力出版社,2001(DL 5073—2000 Specifications for seismic design of hydraulic structures[S].Beijing:China Electric Power Press,2001(in Chinese))
[15]Li J,Chen J B.The number theoretical method in response analysis of nonlinear stochastic structures[J].Computational Mechanics,2007,39(6):693-708
[2]Douglas J,Aochi H.A survey of techniques for predicting earthquake ground motions for engineering purposes[J].Surveys in Geophysics,2008,29(3):187-220
[3]Shinozuka M,Jan C M.Digital simulation of random processes and its applications[J].Journal of Sound and Vibration,1972,25(1):111-128
[4]Priestley M B.Evolutionary spectra and non-stationary processes[J].Journal of the Royal Statistical Society:Series B,1965,27:204-237
[5]刘章军,方兴.平稳地震动过程的随机函数-谱表示模拟[J].振动与冲击,2013,32(24):6-10(Liu Zhangjun,Fang Xing.Simulation of stationary ground motion with random functions and spectral representation[J].Journal of Vibration and Shock,2013,32(24):6-10(in Chinese))
[6]Liang J W,Chaudhuri S R,Shinozuka M.Simulation of nonstationary stochastic processes by spectral representation[J].Journal of Engineering Mechanics,2007,133(6):616-627
[7]Clough R W,Penzien J.Dynamics of Structures[M].second edition.USA:Elsevier Computers and Structures,Inc.,2003
[8]刘章军,曾波,周宜红等.地震动过程的概率模型及在重力坝抗震可靠度分析中的应用[J].水利学报,2014,45(9):1066-1074(Liu Zhangjun,Zeng Bo,Zhou Yihong,et al.Probabilistic model of ground motion processes and seismic dynamic reliability analysis of the gravity dam[J].Journal of Hydraulic Engineering,2014,45(9):1066-1074(in Chinese))
[9]Li Jie,Chen Jianbing.Stochastic dynamics of structures[M].Singapore:John Wiley&Sons,2009
[10]李杰,陈建兵.随机动力系统中的概率密度演化方程及其研究进展[J].力学进展,2010,40(2):170-188(Li Jie,Chen Jianbing.Advances in the research on probability density evolution equations of stochastic dynamical systems[J].Advances in Mechanics,2010,40(2):170-188(in Chinese))
[11]Deodatis G.Non-stationary stochastic vector processes:seismic ground motion applications[J].Probabilistic Engineering Mechanics,1996,11:149-168
[12]Cacciola P,Deodatis G.A method for generating fully nonstationary and spectrum-compatible ground motion vector processes[J].Soil Dynamics and Earthquake Engineering,2011,31:351-360
[13]欧进萍,王光远.结构随机振动[M].北京:高等教育出版社,1998
[14]DL 5073—2000水工建筑物抗震设计规范[S].北京:中国电力出版社,2001(DL 5073—2000 Specifications for seismic design of hydraulic structures[S].Beijing:China Electric Power Press,2001(in Chinese))
[15]Li J,Chen J B.The number theoretical method in response analysis of nonlinear stochastic structures[J].Computational Mechanics,2007,39(6):693-708
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