地下结构抗震计算地基弹簧系数取值方法研究
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摘要
荷载-结构模型是地下结构抗震计算中常采用的模型,模型中地基弹簧系数的确定是关键。为了简便、可靠地计算地基弹簧系数,在已有基床系数计算公式的基础上,建立了地基弹簧系数的经验计算公式,以有限元分析结果为数据基础,对公式的系数进行拟合,将公式拓展用于成层土体。选取算例验证了建议公式的合理性和准确性,分别采用建议公式、日本抗震准则公式以及有限元法计算了某地铁区间站结构的地基弹簧系数,并对在此基础上计算所得的地震作用下结构的内力进行了对比分析。
Model of load-structure is widely applied in seismic design of underground structure,and the methods for determining the spring constant of the model is very important.In order to calculate the spring constant of ground foundation conveniently and reliably,empirical formulas are proposed on the basis of the formula of coefficient of subgrade reaction.Coefficients of proposed formulas are fitted by using the results calculated from finite element analysis,and then the formulas are expanded to be used in layered soil.Examples are selected to verify the rationality and accuracy of proposed formulas.Then the spring constant of a subway station structure is calculated respectively by using proposed formula,Japanese seismic code formula and finite element method.Furthermore,on the basis of three different kinds of spring constants,the structural internal forces under earthquake are calculated and compared.
Model of load-structure is widely applied in seismic design of underground structure,and the methods for determining the spring constant of the model is very important.In order to calculate the spring constant of ground foundation conveniently and reliably,empirical formulas are proposed on the basis of the formula of coefficient of subgrade reaction.Coefficients of proposed formulas are fitted by using the results calculated from finite element analysis,and then the formulas are expanded to be used in layered soil.Examples are selected to verify the rationality and accuracy of proposed formulas.Then the spring constant of a subway station structure is calculated respectively by using proposed formula,Japanese seismic code formula and finite element method.Furthermore,on the basis of three different kinds of spring constants,the structural internal forces under earthquake are calculated and compared.
引文
[1]刘晶波,刘祥庆,杜修力.地下结构抗震理论分析与试验研究的发展展望[J].地震工程与工程振动,2007,27(6):38-44.LIU Jingbo,LIU Xiangqing,DU Xiuli.Prospects for the development in theoretical analysis and experimental study of seismic response of under-ground structures[J].Jouranl of Earthquake Engineering and Engineering Vibration,2008,27(6):38-44.(in Chinese)
[2]Terzaghi K.Evaluation of coefficients of subgrade reaction[J].Geotechnique,1955,5(4):197-326.
[3]刘如山.强地震作用下地铁结构与土脱开滑移的研究[J].地震工程与工程振动,2004,24(6):136-141.(in Chinese)LIU Rushan.The analysis of slippage and coming away between the subway structure and the soil subjected to strong ground motions[J].Journal ofEarthquake Engineering and Engineering Vibration,2004,24(6):136-141.
[4]GB50307-1999地下铁道、轻轨交通岩土工程勘察规范[S].北京:中国计划出版社,2000.
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[6]JGJ72-2004高层建筑岩土工程勘察规程[S].北京:中国建筑工业出版社,2004.
[7]仲锁庆,张西平,潘海利.地基土基床系数研究[J]地下空间与工程学报,2005,1(7):1109-1112.ZHONG Suoqing,ZHANG Xiping,PAN Haili.Study on foundation soil coefficient of subgrade reaction[J].Chinese Journal of Underground Spaceand Engineering,2005,1(7):1109-1112.(in Chinese)
[8]屈成忠,宋巍.不同工况下基床系数的取值研究[J].东北电力大学学报,2009,29(1):8-12.QU Chengzhong,SONG Wei.Study on the foundation modulus dereferencing under different conditions[J].Jouranl of Northease Dianli University,2009,29(1):8-12.(in Chinese)
[9]Biot M A.Bending of an infinite beam on an elastic foundation[J].Journal of Applied Mechanics,1937,12(2):155-164.
[10]Vesic A B.Beams on elastic subgrade and the Winkler’s hypothesis[C]//Proceedings of 5th International Conference of Soil Mechanics andFoundation Engineering.Paris,1961:845-850.
[11]林皋.地下结构抗震分析综述(上,下)[J].世界地震工程,1990,(2,3):1-10.LIN Gao.Summary of seismic analysis of underground structures[J].World Earthquake Engineering,1990,(2,3):1-10.(in Chinese)
[12]黄先锋.地下结构的抗震计算-位移响应法[J].铁道建筑,1999,(6):3-6.HUANG Xianfeng.Seismic calculation of underground structures-sisplacement response method[J].Raiway Engineering,1999,(6):3-6.
[13]DG/TJ08-2064-2009上海市工程建设规范-地下铁道建筑结构抗震设计规范[S].上海:上海市建筑建材业市场管理总站,2009.
[14]郑永来,杨林德,李文艺,等.地下结构抗震[M].上海:同济大学出版社,2005:166-192.
[15]高大钊.岩土工程勘察与设计[M].北京:人民交通出版社,2010:244-251.
[2]Terzaghi K.Evaluation of coefficients of subgrade reaction[J].Geotechnique,1955,5(4):197-326.
[3]刘如山.强地震作用下地铁结构与土脱开滑移的研究[J].地震工程与工程振动,2004,24(6):136-141.(in Chinese)LIU Rushan.The analysis of slippage and coming away between the subway structure and the soil subjected to strong ground motions[J].Journal ofEarthquake Engineering and Engineering Vibration,2004,24(6):136-141.
[4]GB50307-1999地下铁道、轻轨交通岩土工程勘察规范[S].北京:中国计划出版社,2000.
[5]GB50021-2001岩土工程勘察规范[S].北京:中国建筑工业出版社,2009.
[6]JGJ72-2004高层建筑岩土工程勘察规程[S].北京:中国建筑工业出版社,2004.
[7]仲锁庆,张西平,潘海利.地基土基床系数研究[J]地下空间与工程学报,2005,1(7):1109-1112.ZHONG Suoqing,ZHANG Xiping,PAN Haili.Study on foundation soil coefficient of subgrade reaction[J].Chinese Journal of Underground Spaceand Engineering,2005,1(7):1109-1112.(in Chinese)
[8]屈成忠,宋巍.不同工况下基床系数的取值研究[J].东北电力大学学报,2009,29(1):8-12.QU Chengzhong,SONG Wei.Study on the foundation modulus dereferencing under different conditions[J].Jouranl of Northease Dianli University,2009,29(1):8-12.(in Chinese)
[9]Biot M A.Bending of an infinite beam on an elastic foundation[J].Journal of Applied Mechanics,1937,12(2):155-164.
[10]Vesic A B.Beams on elastic subgrade and the Winkler’s hypothesis[C]//Proceedings of 5th International Conference of Soil Mechanics andFoundation Engineering.Paris,1961:845-850.
[11]林皋.地下结构抗震分析综述(上,下)[J].世界地震工程,1990,(2,3):1-10.LIN Gao.Summary of seismic analysis of underground structures[J].World Earthquake Engineering,1990,(2,3):1-10.(in Chinese)
[12]黄先锋.地下结构的抗震计算-位移响应法[J].铁道建筑,1999,(6):3-6.HUANG Xianfeng.Seismic calculation of underground structures-sisplacement response method[J].Raiway Engineering,1999,(6):3-6.
[13]DG/TJ08-2064-2009上海市工程建设规范-地下铁道建筑结构抗震设计规范[S].上海:上海市建筑建材业市场管理总站,2009.
[14]郑永来,杨林德,李文艺,等.地下结构抗震[M].上海:同济大学出版社,2005:166-192.
[15]高大钊.岩土工程勘察与设计[M].北京:人民交通出版社,2010:244-251.
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