黏性土的动剪切模量比和阻尼比与剪应变关系的统计分析
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摘要
动剪切模量比和阻尼比是土体重要的动力特性参数,这两种参数取值的合理性对场地地震响应分析的结果有重要影响。为进一步完善黏性土的动剪切模量比和阻尼比随剪应变的变化关系的研究,给出了新的计算模型和推荐曲线。新曲线的计算模型基于Davidenkov模型和新的阻尼比计算模型,通过对搜集的大量黏性土数据进行非线性回归分析后得到。将分析结果与已有国内外学者的成果进行对比,验证了新计算模型具有较好的可靠性和工程实用性。
Shear modulus and damping ratio are two important dynamic parameters of soil.Their rationality has great influence on the analysis results of seismic response.With the purpose of improving the relationship research of shear modulus ratio and damping ratio to shear strain for cohesive soil,a new model was proposed,which was based on Davidenkov model and a new model of damping ratio was obtained by nonlinear regression analysis of a mass of data.By comparing the results from the new model with those from domestic and overseas scholars,it is proved that the new model is of high reliability and qualified for engineering application.
Shear modulus and damping ratio are two important dynamic parameters of soil.Their rationality has great influence on the analysis results of seismic response.With the purpose of improving the relationship research of shear modulus ratio and damping ratio to shear strain for cohesive soil,a new model was proposed,which was based on Davidenkov model and a new model of damping ratio was obtained by nonlinear regression analysis of a mass of data.By comparing the results from the new model with those from domestic and overseas scholars,it is proved that the new model is of high reliability and qualified for engineering application.
引文
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[18]史丙新,张力方,吕悦军,等.天津滨海场地土动力学参数研究[J].震灾防御技术,2010,5(3):288-298.SHI Bingxin,ZHANG Lifang,LU Yuejun,et al.Research on dynamic parameters of soil site in Tianjin coastal area[J].Technology for EarthquakeDisaster Prevention,2010,5(3):288-298.(in Chinese)
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[20]张勇.武汉软黏土的变形特征与循环荷载动力响应研究[D].武汉:中国科学院武汉岩土力学研究所,2008.ZHANG Yong.The deformation characteristics of Wuhan soft clay and its dynamic responses subjected to cyclic loading[D].Wuhan:Chinese Acad-emy of Sciences,2008.(in Chinese)
[21]陈国兴,王炳辉,刘建达.新近沉积土的动剪切模量和阻尼比试验研究[J].地下空间与工程学报,2008,4(3):539-543.CHEN Guoxing,WANG Binghui,LIU jianda.Experimental study on dynamic shear modulus and damping ratio of recently deposited soils[J].Chi-nese Journal of Underground Space and Engineering,2008,4(3):539-543.(in Chinese)
[22]冯志仁,郭德存,刘红帅,等.最大剪切模量对土动力参数及地震反应的影响[J].自然灾害学报,2007,16(3):90-95.FENG Zhiren,GUO Decun,LIU Hongshuai,et al.Influence of maximum shear modulus on dynamic parameters and seismic response of soil layer[J].Journal of Natural Disasters,2007,16(3):90-95.(in Chinese)
[23]Seed H B,Idriss I M.Soil moduli and damping factors for dynamic response analysis[R].Report EERC70-10.Earthquake Engineering ResearchCenter.University of California.Berkeley,1970.
[24]张亚军,兰宏亮,崔永高.上海地区土动剪切模量比和阻尼比的统计研究[J].世界地震工程,2010,26(2):171-175.ZHANG Yajun,LAN Hongliang,CUI Yonggao.Statistical studies on shear modulus ratios and damping ratios of soil in Shanghai area[J].WorldEarthquake Engineering,2010,26(2):171-175.(in Chinese)
[25]陈国兴,陈继华,刘雪珠,等.长江下游地区新近沉积土动剪切模量比和阻尼比的试验研究[J].防灾减灾工程学报,2005,25(1):49-57.CHEN Guoxing,CHEN Jihua,LIU Xuezhu,et al.Experimental study on dynamic shear modulus ratio and damping ratio of recently deposited soilsin the lower reaches of the Yangtze River[J].Journal of Disaster Prevention and Mitigation Engineering,2005,25(1):49-57.(in Chinese)
[26]张麟,严蕴,相树珍,等.舟山地区工程场地土动力特性试验研究[J].河海大学学报:自然科学版,2005,33(增):223-226.ZHANG Lin,YAN Yun,XIANG Shuzhen,et al.Experimental research of dynamic characteristics on project site soil in Zhoushan area[J].Journal ofHohai University:Natural Sciences,2005,33(supp):223-226.(in Chinese)
[27]陈国兴.岩土工程地震学[M].北京:科学出版社,2006.CHEN Guoxing.Geotechnical Earthquake Engineering[M].Beijing:Science Press,2006.(in Chinese)
[28]谢定义.土动力学[M].北京:高等教育出版社,2011:279-300.XIE Dingyi.Soil dynamics[M].Beijing,Higher Education Press,2011:279-300.(in Chinese)
[29]Zhang Jianfeng,Andrus D,Juang C H.Nomalized shear modulus and material damping ratio relationships[J].Journal of Geotechnical and Geoenvir-onmental Engineering,ASCE,2005,131(4):453-464.
[30]Isao Ishibashi,Zhang Xinjian.Unified dynamic shear moduli and damping ratios of sand and clay[J].Soils and Foundation,1993,33(1):182-191.
[31]Borden R H,Member,ASCE.Dynamic properties of piedmont residual Soils[J].Journal of Geotechnical Engineering,ASCE,1996,122(10):813-821.
[32]孙静.岩土动力学参数测试技术与应用[M].哈尔滨:黑龙江大学出版社,2007,12:169-170.SUN Jing.Geotechnical dynamic parameter test technology and application[M].Harbin:Heilongjiang University Press,2007,12:169-170.(inChinese)
[2]Martin P P,Seed H Bolton.One-dimensional dynamic ground response analyses[J].Journal of the Geotechnical Engineering Division,1982,108(7):935-952.
[3]Sun J I,Seed H B.Dynamic moduli and damping ratios for cohesive soils[M].University of California,Berkeley,1988:UCB/EERC-88/15.
[4]陈国兴,谢君斐,张克绪.土的动模量和阻尼比的经验估计[J].地震工程与工程振动,1995,15(1):73-84.CHEN Guoxing,XIE Junfei,ZHANG Kexu.The empirical evaluation of soil moduli and damping ratio for dynamic analysis[J].Journal of Earth-quake Engineering and Engineering Vibration,1995,15(1):73-84.(in Chinese)
[5]袁晓铭,孙锐,孙静,等.常规土类动剪切模量比和阻尼比试验研究[J].地震工程与工程动,2000,20(4):133-193.YUAN Xiaoming,SUN Rui,SUN Jing,et al.Laboratory experimental study on dynamic shear modulus ratio and damping ratio of soils[J].Journal ofEarthquake Engineering and Engineering Vibration,2000,20(4):133-193.(in Chinese)
[6]张如林,楼梦麟.基于达维坚科夫骨架曲线的软土非线性动力本构模型研究[J].岩土力学,2012,33(9):2588-2594.ZHANG Rulin,LOU Menglin.Study of nonlinear dynamic constitutive model of soft soils based on Davidenkov skeleton curve[J].Rock and SoilMechanics,2012,33(9):2588-2594.(in Chinese)
[7]孙田,陈国兴,周恩全,等.深层海床粉质黏土动剪切模量和阻尼比试验研究[J].土木工程学报,2012,45(增刊1):9-14.SUN Tian,CHEN Guoxing,ZHOU Enquan,et al.Experimental research on the dynamic shear modulus and the damping ratio of deep-seabed marinesilty clay[J].China Civil Engineering Journal,2012,45(supp1):9-14.(in Chinese)
[8]齐剑锋,栾茂田,杨庆,等.饱和粘土动剪切模量与阻尼比的试验研究[J].岩土工程学报,2008,30(4):518-523.QI Jianfeng,LUAN Maotian,YANG Qing,et al.Dynamic shear modulus and damping ratio of saturated clay[J].Chinese Journal of GeotechnicalEngineering,2008,30(4):518-523.(in Chinese)
[9]吕悦军,唐荣余,沙海军.渤海海底土类动剪切模量比和阻尼比试验研究[J].防灾减灾工程学报.2003,23(2):35-42.LU Yuejun,TANG Rongyu,SHA Haijun.Experimental study on dynamic shear modulus ratio and damping ratio of the soils of Bohai seafloor[J].Journal of Disaster Prevention and Mitigation Engineering.2003,23(2):36-42.(in Chinese)
[10]刘霞,贾荣光,杜历英,等.动三轴试验固结时间对动剪切模量比和阻尼比影响的初步分析[J].华北地震科学.2010,28(4):31-36.LIU Xia,JIA Rongguang,DU Liying,et al.Effect of consolidation time on dynamic shear modulus ratio and damping ratio in dynamic triaxial test[J].North China Earthquake Sciences,2010,28(4):31-36.(in Chinese)
[11]尚守平,卢华喜,任慧,等.粉质粘土动剪切模量的试验对比研究[J].岩土工程学报,2006,28(3):410-414.SHANG Shouping,LU Huaxi,Ren Hui,et al.Comparative study on dynamic shear modulus of silty caly[J].Chinese Journal of Geotechnical Engi-neering,2006,28(3):410-414.(in Chinese)
[12]聂影.复杂应力条件下饱和重塑黏土动力个性试验研究[D].大连:大连理工大学,2008.NIE Ying.Experimental study on shear behavior of saturated clay under complex stress conditions[D].Dalian:Dalian University of Technology,2008.(in Chinese)
[13]庄海洋,刘雪珠,陈国兴.互层土的动参数试验研究及其地震反应分析[J].岩土力学,2005,26(9):1495-1498.ZHUANG Haiyang,LIU Xuezhu,CHEN Guoxing.A study on dynamic parameters and seismic response of interbedded soil[J].Rock and Soil me-chanics,2005,26(9):1495-1498.(in Chinese)
[14]胡庆兴,刘雪珠,从卫民,等.淮安市典型土动力特性的试验研究[J].地震工程与工程振动,2003,23(6):144-148.HU Qingxing,LIU Xuezhu,CONG Weimin,et al.Experimental study on dynamic property of typical soils for Huaian City[J].Journal of EarthquakeEngineering and Engineering Vibration,2003,23(6):144-148.(in Chinese)
[15]陈国兴,刘雪珠.南京及邻近地区新近沉积土的动剪切模量和阻尼比的试验研究[J].岩石力学与工程学报,2004,23(8):1403-1410.CHEN Guoxing,LIU Xuezhu.Testing study on ratio of dynamic shear moduli and ratio of damping for recently deposited soils in Nanjing and itsneighboring areas[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(8):1403-1410.(in Chinese)
[16]王炳辉,陈国兴,王晶华.宁波近海沉积土动力特性的试验研究[J].自然灾害学报,2007,16(4):55-60.WANG Binghui,CHEN Guoxing,WANG Jinghua.Experimental study on dynamic characteristic of Ningbo’s offshore sediment soils[J].Journal ofNatural Disasters,2007,16(4):55-60.(in Chinese)
[17]陈继华,陈国兴,史国龙.深厚软弱场地地震反应特性研究[J].防灾减灾工程学报,2004,24(2):131-138.CHEN Jihua,CHEN Guoxing,SHI Guolong.Research on seismic response characteristic of sites with deep and soft soils[J].Journal of Disaster Pre-vention and Mitigation Engineering,2004,24(2):131-138.(in Chinese)
[18]史丙新,张力方,吕悦军,等.天津滨海场地土动力学参数研究[J].震灾防御技术,2010,5(3):288-298.SHI Bingxin,ZHANG Lifang,LU Yuejun,et al.Research on dynamic parameters of soil site in Tianjin coastal area[J].Technology for EarthquakeDisaster Prevention,2010,5(3):288-298.(in Chinese)
[19]陈学良.土体动力特性、复杂场地非线性地震反应及其方法研究[D].哈尔滨:中国地震局工程力学研究所,2006.CHEN Xueliang.Study on soil dynamic characteristics,nonlinear seismic response of complex site and its methods[D].Harbin:China SeismologicalBureau,2006.(in Chinese)
[20]张勇.武汉软黏土的变形特征与循环荷载动力响应研究[D].武汉:中国科学院武汉岩土力学研究所,2008.ZHANG Yong.The deformation characteristics of Wuhan soft clay and its dynamic responses subjected to cyclic loading[D].Wuhan:Chinese Acad-emy of Sciences,2008.(in Chinese)
[21]陈国兴,王炳辉,刘建达.新近沉积土的动剪切模量和阻尼比试验研究[J].地下空间与工程学报,2008,4(3):539-543.CHEN Guoxing,WANG Binghui,LIU jianda.Experimental study on dynamic shear modulus and damping ratio of recently deposited soils[J].Chi-nese Journal of Underground Space and Engineering,2008,4(3):539-543.(in Chinese)
[22]冯志仁,郭德存,刘红帅,等.最大剪切模量对土动力参数及地震反应的影响[J].自然灾害学报,2007,16(3):90-95.FENG Zhiren,GUO Decun,LIU Hongshuai,et al.Influence of maximum shear modulus on dynamic parameters and seismic response of soil layer[J].Journal of Natural Disasters,2007,16(3):90-95.(in Chinese)
[23]Seed H B,Idriss I M.Soil moduli and damping factors for dynamic response analysis[R].Report EERC70-10.Earthquake Engineering ResearchCenter.University of California.Berkeley,1970.
[24]张亚军,兰宏亮,崔永高.上海地区土动剪切模量比和阻尼比的统计研究[J].世界地震工程,2010,26(2):171-175.ZHANG Yajun,LAN Hongliang,CUI Yonggao.Statistical studies on shear modulus ratios and damping ratios of soil in Shanghai area[J].WorldEarthquake Engineering,2010,26(2):171-175.(in Chinese)
[25]陈国兴,陈继华,刘雪珠,等.长江下游地区新近沉积土动剪切模量比和阻尼比的试验研究[J].防灾减灾工程学报,2005,25(1):49-57.CHEN Guoxing,CHEN Jihua,LIU Xuezhu,et al.Experimental study on dynamic shear modulus ratio and damping ratio of recently deposited soilsin the lower reaches of the Yangtze River[J].Journal of Disaster Prevention and Mitigation Engineering,2005,25(1):49-57.(in Chinese)
[26]张麟,严蕴,相树珍,等.舟山地区工程场地土动力特性试验研究[J].河海大学学报:自然科学版,2005,33(增):223-226.ZHANG Lin,YAN Yun,XIANG Shuzhen,et al.Experimental research of dynamic characteristics on project site soil in Zhoushan area[J].Journal ofHohai University:Natural Sciences,2005,33(supp):223-226.(in Chinese)
[27]陈国兴.岩土工程地震学[M].北京:科学出版社,2006.CHEN Guoxing.Geotechnical Earthquake Engineering[M].Beijing:Science Press,2006.(in Chinese)
[28]谢定义.土动力学[M].北京:高等教育出版社,2011:279-300.XIE Dingyi.Soil dynamics[M].Beijing,Higher Education Press,2011:279-300.(in Chinese)
[29]Zhang Jianfeng,Andrus D,Juang C H.Nomalized shear modulus and material damping ratio relationships[J].Journal of Geotechnical and Geoenvir-onmental Engineering,ASCE,2005,131(4):453-464.
[30]Isao Ishibashi,Zhang Xinjian.Unified dynamic shear moduli and damping ratios of sand and clay[J].Soils and Foundation,1993,33(1):182-191.
[31]Borden R H,Member,ASCE.Dynamic properties of piedmont residual Soils[J].Journal of Geotechnical Engineering,ASCE,1996,122(10):813-821.
[32]孙静.岩土动力学参数测试技术与应用[M].哈尔滨:黑龙江大学出版社,2007,12:169-170.SUN Jing.Geotechnical dynamic parameter test technology and application[M].Harbin:Heilongjiang University Press,2007,12:169-170.(inChinese)
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