地基液化评价的模糊不确定性分析
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摘要
基于世界范围内19次中强震的CPT液化案例,通过构建客观性较强的液化隶属函数映射地基液化模糊性;基于LOG ISTIC模型导出地基抗液化强度CRR曲线及其概率密度函数;借用中国华北地区地震动加速度衰减关系,构建CSR的概率密度函数,进而分析地基液化评价的模糊不确定性。结果表明,忽略地基液化评价的模糊不确定性,评价结果可能偏于危险;基于模糊不确定性的地基液化评价工程意义较为明显,可作为规范方法的有益参考。
Apart from the random uncertainty,the fuzzy uncertain must also be involved in the evaluation of soil liquefaction.According to the field testing liquefaction data of cone penetration test from 19 strong earthquakes around the world,the fuzzy membership function is established,and the CRR curves is developed using logistic model,through which the PDF and the statistics for CRR are deduced.Then the empirical acceleration attenuation law in Northern China area is employed to derive PDF and the statistics for CSR in the sense that the maximum of acceleration is the dominant factor producing the CSR variation.Through theoretical and contractive analyses on a representative sample,the fuzzy liquefaction probability can systematically,quantificationally consider the fuzziness and randomness of soil liquefaction compared with the traditional methods,and the decision-making based on the analysis of the fuzzy reliability will more agree to the property of the engineering.It can be used as a significant reference of the code.
Apart from the random uncertainty,the fuzzy uncertain must also be involved in the evaluation of soil liquefaction.According to the field testing liquefaction data of cone penetration test from 19 strong earthquakes around the world,the fuzzy membership function is established,and the CRR curves is developed using logistic model,through which the PDF and the statistics for CRR are deduced.Then the empirical acceleration attenuation law in Northern China area is employed to derive PDF and the statistics for CSR in the sense that the maximum of acceleration is the dominant factor producing the CSR variation.Through theoretical and contractive analyses on a representative sample,the fuzzy liquefaction probability can systematically,quantificationally consider the fuzziness and randomness of soil liquefaction compared with the traditional methods,and the decision-making based on the analysis of the fuzzy reliability will more agree to the property of the engineering.It can be used as a significant reference of the code.
引文
[1]孙悦,袁晓铭.第11届国际土动力学和地震工程会议及第13届地震工程会议砂土液化研究综述[J].世界地震工程,2006,22(4):15-20.
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[3]薛新华,张我华,刘红军.砂土地震液化的模糊综合评判法[J].重庆建筑大学学报,2006,28(1):55-79.
[4]何广讷.土工的若干新理论研究与应用[M].北京:水利电力出版社,1994:1-117.
[5]汪闻韶.土的动力强度和液化特性[M].北京:中国电力出版社,1997:88-90.
[6]周健,白冰,徐建平.土动力理论与计算[M].北京:中国建筑工业出版社,2001:124-125.
[7]GB50011-2001建筑物抗震设计规范[S].
[8]衡朝阳,裘以惠.含粘粒砂土抗液化性能的试验研究[J].工程地质学报,2001,9(4):339-344.
[9]Youd TL,Idriss I M.Liquefaction resistance of soils:Summary re-port from the 1996 NCEER and 1998 NCEER/NSF workshops onevaluation of liquefaction resistance of soils[J].Geotechnical andGeoenvironmental Engineering,ASCE,2001(4):297-313.
[10]GB50021-2001岩土工程勘察设计规范[S].
[11]陈国兴,张克绪,谢君斐.以剪切波速为指标的液化判别方法及其适用性[J].哈尔滨建筑大学学报,1996,29(1):97-103.
[12]Samson S C Liao,Robert V Whitman.Regression models for evalu-ation liquefaction probability[J].Journal of Engineering,ASCE,1988(4):389-411.
[13]Hsein Juang C,Haiming Yuan.Simplified cone penetration test-based method for evaluating liquefaction resistance of soils[J].Geotechnical and Geoenvironmental Engineering,ASCE,2003(1):66-79.
[14]刘玉彬,王光远.工程结构广义可靠度理论[M].北京:科学出版社,2005.
[15]Hsein Juang C,Tao Jiang.Assessing probability-based methodsfor liquefaction potential evaluation[J].Geotechnical and Geoen-vironmental Engineering,ASCE,2002(6):580-589.
[16]Juang C H,Chen C J.CPTliquefaction analysis,part1:Determina-tion of limit state function[J].Geotechnique,2000(5):583-592.
[17]Juang C H,Chen C J.CPTliquefaction analysis,part 2:Reliabilityfor design[J].Geotechnique.2000(5):593-599.
[18]Hsein Juang C,Sunny Ye Fang.First order reliability method forprobabilistic liquefaction trigging analysis using CPT[J].Geotechnical and Geoenvironmental Engineering,ASCE,2006(5):337-350.
[19]王济川,郭志刚.LOGISTIC回归模型方法与应用[M].北京:高等教育出版社,2001.
[20]霍俊荣,胡聿贤.地震动峰值参数衰减规律的研究[J].地震工程与工程振动,1992,6(12):2-11.
[21]谭东耀,王光远.结构随机模糊优化的广义可靠度法[J].哈尔滨建筑工程学院学报,1989,22(2):15-26.
[22]刘恢先.唐山大地震震害(第一分册)[M].北京:地震出版社,1985.
[23]陈国兴,李方明.基于径向基函数神经网络模型的砂土液化概率判别方法[J].岩土工程学报,2006,28(3):301-305.
[2]汪培庄,韩立岩.应用模糊数学[M].北京:经济学院出版社,1988.
[3]薛新华,张我华,刘红军.砂土地震液化的模糊综合评判法[J].重庆建筑大学学报,2006,28(1):55-79.
[4]何广讷.土工的若干新理论研究与应用[M].北京:水利电力出版社,1994:1-117.
[5]汪闻韶.土的动力强度和液化特性[M].北京:中国电力出版社,1997:88-90.
[6]周健,白冰,徐建平.土动力理论与计算[M].北京:中国建筑工业出版社,2001:124-125.
[7]GB50011-2001建筑物抗震设计规范[S].
[8]衡朝阳,裘以惠.含粘粒砂土抗液化性能的试验研究[J].工程地质学报,2001,9(4):339-344.
[9]Youd TL,Idriss I M.Liquefaction resistance of soils:Summary re-port from the 1996 NCEER and 1998 NCEER/NSF workshops onevaluation of liquefaction resistance of soils[J].Geotechnical andGeoenvironmental Engineering,ASCE,2001(4):297-313.
[10]GB50021-2001岩土工程勘察设计规范[S].
[11]陈国兴,张克绪,谢君斐.以剪切波速为指标的液化判别方法及其适用性[J].哈尔滨建筑大学学报,1996,29(1):97-103.
[12]Samson S C Liao,Robert V Whitman.Regression models for evalu-ation liquefaction probability[J].Journal of Engineering,ASCE,1988(4):389-411.
[13]Hsein Juang C,Haiming Yuan.Simplified cone penetration test-based method for evaluating liquefaction resistance of soils[J].Geotechnical and Geoenvironmental Engineering,ASCE,2003(1):66-79.
[14]刘玉彬,王光远.工程结构广义可靠度理论[M].北京:科学出版社,2005.
[15]Hsein Juang C,Tao Jiang.Assessing probability-based methodsfor liquefaction potential evaluation[J].Geotechnical and Geoen-vironmental Engineering,ASCE,2002(6):580-589.
[16]Juang C H,Chen C J.CPTliquefaction analysis,part1:Determina-tion of limit state function[J].Geotechnique,2000(5):583-592.
[17]Juang C H,Chen C J.CPTliquefaction analysis,part 2:Reliabilityfor design[J].Geotechnique.2000(5):593-599.
[18]Hsein Juang C,Sunny Ye Fang.First order reliability method forprobabilistic liquefaction trigging analysis using CPT[J].Geotechnical and Geoenvironmental Engineering,ASCE,2006(5):337-350.
[19]王济川,郭志刚.LOGISTIC回归模型方法与应用[M].北京:高等教育出版社,2001.
[20]霍俊荣,胡聿贤.地震动峰值参数衰减规律的研究[J].地震工程与工程振动,1992,6(12):2-11.
[21]谭东耀,王光远.结构随机模糊优化的广义可靠度法[J].哈尔滨建筑工程学院学报,1989,22(2):15-26.
[22]刘恢先.唐山大地震震害(第一分册)[M].北京:地震出版社,1985.
[23]陈国兴,李方明.基于径向基函数神经网络模型的砂土液化概率判别方法[J].岩土工程学报,2006,28(3):301-305.
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