地下洞室群随机地震响应研究中传递函数的应用探讨
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摘要
在证明随机响应的统计参数可以用传递函数进行直接表达的前提下,将传递函数引入地下洞室群随机地震响应研究中,对白鹤滩水电工程13#机组剖面地下洞群进行了随机地震响应分析,并对之进行了地震动力可靠度的探讨。结果表明:较之常规方法,基于传递函数的方法除可得到洞室群的随机地震响应以外,还可同时得到洞室群的地震响应频谱特性,并可以直接利用传递函数得到确定性地震动输入下洞室群的响应值进行验证,显示对问题的研究具有更加深刻的优势;将所得到的随机地震响应结果与基于传递函数的确定性估算结果,与实际时程计算得到的确定性结果比较,吻合良好;首次采用超越破坏理论对地下洞室群进行地震动力可靠度分析的可行性,为地下工程抗震可靠度计算中如何以动力方式考虑地震荷载的随机性提供了一些新思路。
It is proved that the statistical parameters of a random response can be directly expressed in terms of transfer function;and then a transfer function-based stochastic seismic response analysis is made on Baihetan underground caverns.The seismic reliability of underground caverns is also discussed.The results indicate that in addition to stochastic seismic response of the caverns,spectral characteristics of seismic response and seismic response estimations can be conducted at the same time,which leads to a more profound point of view in comparison with conventional methods.Results of stochastic seismic analysis and transfer function-based estimation are well consistent with the results of numerical computation.The theory of excursion failure criterion is firstly applied to provide a new approach to consider the randomness of earthquake loading in stochastic seismic response analysis of underground caverns.
It is proved that the statistical parameters of a random response can be directly expressed in terms of transfer function;and then a transfer function-based stochastic seismic response analysis is made on Baihetan underground caverns.The seismic reliability of underground caverns is also discussed.The results indicate that in addition to stochastic seismic response of the caverns,spectral characteristics of seismic response and seismic response estimations can be conducted at the same time,which leads to a more profound point of view in comparison with conventional methods.Results of stochastic seismic analysis and transfer function-based estimation are well consistent with the results of numerical computation.The theory of excursion failure criterion is firstly applied to provide a new approach to consider the randomness of earthquake loading in stochastic seismic response analysis of underground caverns.
引文
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[2]王如宾,徐卫亚,石崇,等.高地震烈度区岩体地下洞室动力响应分析[J].岩石力学与工程学报,2009,28(3):568-575.WANG Ru-bin,XU Wei-ya,SHI Chong,et al.Dynamicresponse analysis of rock underground caverns in highlyseismic region[J].Chinese Journal of Rock Mechanicsand Engineering,2009,28(3):568-575.
[3]李小军,卢滔.水电站地下厂房洞室群地震反应显式有限元分析[J].水力发电学报,2009,28(5):41-46.LI Xiao-jun,LU Tao.Explicit finite element analysis ofearthquake response for underground caverns ofhydropower stations[J].Journal of Hydroelectric Engi-neering,2009,28(5):41-46.
[4]赵宝友,马震岳,丁秀丽.不同地震动输入方向下的大型地下岩体洞室群地震反应分析[J].岩石力学与工程学报,2010,29(增刊1):3395-3402.ZHAO Bao-you,MA Zhen-yue,DING Xiu-li.Seismicresponse of a large underground rock cavern groupsconsidering different incident angles of earthquakewaves[J].Chinese Journal of Rock Mechanics andEngineering,2010,29(Supp.1):3395-3402.
[5]张志国,肖明,陈俊涛.大型地下洞室地震灾变过程三维动力有限元模拟[J].岩石力学与工程学报,2011,30(3):509-523.ZHANG Zhi-guo,XIAO Ming,CHEN Jun-tao,et al.Simulation of earthquake disaster process of large-scaleunderground caverns using three-dimensional dynamicfinite element method[J].Chinese Journal of RockMechanics and Engineering,2011,30(3):509-523.
[6]胡聿贤.地震工程学[M].北京:地震出版社,2006.
[7]陈健云,胡志强,林皋.超大型地下洞室群的随机地震响应分析[J].水利学报,2002,(1):71-75.CHEN Jian-yun,HU Zhi-qiang,LIN Gao.Randomseismic response analysis of large-scale undergroundcaverns[J].Journal of Hydraulic Engineering,2002,(1):71-75.
[8]严松宏.地下结构随机地震响应分析及其动力可靠度研究[博士学位论文D].成都:西南交通大学,2003.
[9]张鸿儒,曹国安.地下结构随机地震响应分析[C]//第五届全国土动力学学术会议论文集.大连:大连理工大学出版社,1998.
[10]李志强,张鸿儒,陆传波.挡土结构物随机地震响应分析及动力可靠度研究[J].工程地质学报,2006,14(3):345-350.LI Zhi-qiang,ZHANG Hong-ru,LU Chuan-bo.Stochastic analysis of seismic responses and dynamicreliability of retaining structures[J].Journal of Engi-neering Geology,2006,14(3):345-350.
[11]季文美.机械振动[M].北京:科学出版社,1985.
[12]刘延柱.振动力学[M].北京:高等教育出版社,1998.
[13]傅志方.模态分析理论与应用[M].上海:上海交通大学出版社,2000.
[14]BERND GIROD,RUDOLF RABENSTEIN,ALEXANDERSTENGER.Signals and systems,2nd ed[M].New York:Wiley,2001:50.
[15]YAMAGUCHI Y,IWASHITA T.Earthquake motions atan embankment dam base and an estimation method ofincident seismic waves using the observations[C]//The32nd Joint Meeting of the U.S.-Japan CooperativeProgram in Natural Resources Panel on Wind and SeismicEffects.Gaithersburg:[s.n.],2001:253-262.
[16]蒋良潍,姚令侃,吴伟,等.传递函数分析在边坡振动台模型试验的应用探讨[J].岩土力学,2010,31(5):1368-1374.JIANG Liang-wei,YAO Ling-kan,WU Wei,et al.Transfer function analysis of earthquake simulationshaking table model test of side slopes[J].Rock and SoilMechanics,2010,31(5):1368-1374.
[17]李桂清.结构动力可靠性理论及其应用[M].北京:地震出版社,1993
[18]崔臻,盛谦,刘加进,等.基于小波包的地下洞室群地震响应及其频谱特性研究[J].岩土力学,2010,31(12):3525-3530.CUI Zhen,SHENG Qian,LIU Jia-jin,et al.Spectrumcharacteristics analysis of seismic response for under-ground houses via wavelet packet[J].Rock and SoilMechanics,2010,31(12):3525-3530.
[19]The MathWorks Inc..MATLAB signal processingtoolbox user's guide[M].Natick:The MathWorks Inc.,2010.
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