挡土结构物随机地震响应分析及动力可靠度研究
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摘要
本文提供了一种简单的确定性数值方法,来分析在平稳随机地震荷载作用下的结构随机地震响应及动力可靠度。该方法基于有限元动力分析软件,以单位加速度脉冲函数作为地震荷载的输入,当计算出结构的脉冲响应函数后,再运用傅立叶变换得到随机激励和结构响应之间的传递函数,由此来计算结构的均方根响应和峰值响应。基于此方法,分析了挡土结构物在平稳随机地震荷载作用下的位移、弯矩、基底水平合力、基底竖向合力以及沿墙高的土压力极值的随机地震响应及动力可靠度。从分析结果可以看出:用Kanai谱模型的计算值比欧进萍谱模型的计算值更趋保守,而把响应过程当作马尔可夫过程似比泊松过程更精确。
This paper presents a simple numerical deterministic approach for analysis of stochastic response and dynamic reliability of retaining structures under the stationary random seismic activity.The method is based on general FEM software for structure dynamic analysis.A numerical equivalent unit impulse function is used as an input of seismic load.After the impulse response function of the structure was obtained,a transfer function between the random excitation and response of the structure was adopted to calculate the mean square response and peak response by the Fourier transform.The random seismic response and dynamic reliability of retaining structures including displacement,moment,horizontal and vertical resultant forces on the base,earth pressure along the back of wall are calculated.The results show that Kanai model was more conservative than Ou-Jinping model.Assuming the passage of the response process to a given level as a Markov process was more precise than a Poisson process.
This paper presents a simple numerical deterministic approach for analysis of stochastic response and dynamic reliability of retaining structures under the stationary random seismic activity.The method is based on general FEM software for structure dynamic analysis.A numerical equivalent unit impulse function is used as an input of seismic load.After the impulse response function of the structure was obtained,a transfer function between the random excitation and response of the structure was adopted to calculate the mean square response and peak response by the Fourier transform.The random seismic response and dynamic reliability of retaining structures including displacement,moment,horizontal and vertical resultant forces on the base,earth pressure along the back of wall are calculated.The results show that Kanai model was more conservative than Ou-Jinping model.Assuming the passage of the response process to a given level as a Markov process was more precise than a Poisson process.
引文
[1]Ch ing-Chuan Huang.Investigations of soil retain ing structuresdamaged during the Ch i-Ch i(Taiwan)earthquake[J].Journalof the Ch inese Institute of Engineers,Transactions of the Ch ineseInstitute of Engineers,Series A/Chung-kuo Kung Ch′eng HsuchK′an,2000,23(4):417~428.
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[5]黄润秋,王贤能,唐胜传.深埋隧道地震动力响应复反应分析[J].工程地质学报,1997,5(1):1~7.Huang Runq iu,W ang X ianneng,Tang Shengchuan.Complex a-nalysis of seism ic response of a mountain tunnel.Journal of Engi-neering Geology,1997,5(1):1~7.
[6]李桂青.结构动力可靠性理论及其应用[M].北京:地震出版社,1993.L i Gu iq ing.Structural dynam ic reliab ility and applications.Bei-jing:pub lish ing company of earthquake,1993.
[7]W u Y ingwei.D isplacem ent-based analysis and design of rigid re-tain ing walls during earthquakes[Ph.D.Thesis][D].Un iversity ofM issouri-Rolla,1999.
[8]黄润秋,余嘉顺.软弱夹层特性对地震波强度影响的模拟研究[J].工程地质学报,2003,11(3):312~317.Huang Runq iu,Yu Jiashun.Modelling of the effects of propertiesof a buried weak layer on sism ic waves.Journal of Engineering Ge-ology,2003,11(3):312~317.
[9]李新乐,朱②.考虑场地和震源机制的近断层地震动衰减特性的研究[J].工程地质学报,2004,12(2):141~147.L i X in le,Zhu X i.Attenuation characteristics of near-fau lt groundmotions based on site and focalm echan ism.Journal of EngineeringGeology,2004,12(2):141~147.
[10]韩文峰,宋畅,梁庆国.极震区的地震动与潜在震源区内重大工程安全[J].工程地质学报,2004,12(4):346~353.Han W enfeng,Song Chang,L iang Q ingguo.Strong ground motionatm eizoseismal area&safety of important engineering projects atpotential earthquake region.Journal of Engineering Geology,2004,12(4):346~353.
[2]Yang,Y.C.Chen.T.J..Retain ing walls damaged in the Ch i-Ch i earthquake[J].Canad ian Geotechn ical Journal,2003,40(6):1142~1153.
[3]严松宏.地下结构随机地震响应分析及其动力可靠度研究[D].西南交通大学博士学位论文,2003.Yan Songhong.Study on underground structural stochastic seism icresponse and dynam ic reliab ility.Southwest Jiaotong Un iversity,2003.
[4]曹国安.地下结构随机地震响应和极值分析[D].北方交通大学博士学位论文,1997.Cao Guoan.Study on underground structural stochastic seism ic re-sponse and extremal analysis.Northern Jiaotong Un iversity,1997.
[5]黄润秋,王贤能,唐胜传.深埋隧道地震动力响应复反应分析[J].工程地质学报,1997,5(1):1~7.Huang Runq iu,W ang X ianneng,Tang Shengchuan.Complex a-nalysis of seism ic response of a mountain tunnel.Journal of Engi-neering Geology,1997,5(1):1~7.
[6]李桂青.结构动力可靠性理论及其应用[M].北京:地震出版社,1993.L i Gu iq ing.Structural dynam ic reliab ility and applications.Bei-jing:pub lish ing company of earthquake,1993.
[7]W u Y ingwei.D isplacem ent-based analysis and design of rigid re-tain ing walls during earthquakes[Ph.D.Thesis][D].Un iversity ofM issouri-Rolla,1999.
[8]黄润秋,余嘉顺.软弱夹层特性对地震波强度影响的模拟研究[J].工程地质学报,2003,11(3):312~317.Huang Runq iu,Yu Jiashun.Modelling of the effects of propertiesof a buried weak layer on sism ic waves.Journal of Engineering Ge-ology,2003,11(3):312~317.
[9]李新乐,朱②.考虑场地和震源机制的近断层地震动衰减特性的研究[J].工程地质学报,2004,12(2):141~147.L i X in le,Zhu X i.Attenuation characteristics of near-fau lt groundmotions based on site and focalm echan ism.Journal of EngineeringGeology,2004,12(2):141~147.
[10]韩文峰,宋畅,梁庆国.极震区的地震动与潜在震源区内重大工程安全[J].工程地质学报,2004,12(4):346~353.Han W enfeng,Song Chang,L iang Q ingguo.Strong ground motionatm eizoseismal area&safety of important engineering projects atpotential earthquake region.Journal of Engineering Geology,2004,12(4):346~353.
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