结构-地基相互作用研究的回顾与展望
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摘要
结构-地基相互作用问题是地震工程、防灾减灾工程及防护工程等领域十分关注的一个课题。通过查阅大量文献,对结构-地基相互作用问题的发展历程进行了回顾,对研究现状进行了总结,重点概括了各种结构-地基动力相互作用分析数值方法,并对结构-地基相互作用研究做了展望。
The problem of structure-foundation interaction plays an important role in earthquake engineering,disaster prevention and reduction engineering and protective engineering.Based on adequately consulting abundant references,a review of the development,a summarization of the current status and a prospect of the research on structure-foundation interaction are made.Special attention is paid to the numerical methods for analyzing the problem of dynamic interaction of structure-foundation.
The problem of structure-foundation interaction plays an important role in earthquake engineering,disaster prevention and reduction engineering and protective engineering.Based on adequately consulting abundant references,a review of the development,a summarization of the current status and a prospect of the research on structure-foundation interaction are made.Special attention is paid to the numerical methods for analyzing the problem of dynamic interaction of structure-foundation.
引文
[1]方志,陆浩亮,王龙.土-结构动力相互作用研究综述[J].世界地震工程,2006,22(1):57-63.
[2]王凤霞,荆玉龙.浅谈土与结构动力相互作用[J].低温建筑技术,2001,4:27-29.
[3]Sung T Y.Vibration in Semi-Infinite Solids Due to Periodic Load-ing[A].ASTM-STP,No.156,Symposium on Dynamic Tesingof Soils[C],1953,35-64.
[4]Arnod R N et al.Forced Vibrations of Body on an Infinite ElasticSolid[J].Journal of Applied Mechanics,ASCE,1955,77:319-401.
[5]Bycroft G N.Forced Vibrations of a Rigid Circular Plate on aSemi-Infinite Elastic Space and on an Elastic Stratum[J].Philo.Trans.Roy.Soc.1956,248:327-368.
[6]Lysmer J,Richart E T.Dynamic Response of Footing to VerticalLoading[J].Journal of Soil Mechanics Division.ASCE,1966,92(1):65-91.
[7]Parmelee R A.Building-Foundation Interaction Effects[J].Jour-nal of the Engineering Mechanics Division,ASCE,1967,93(EM2):131-152.
[8]Luco J E,Westman R A.Dynamic Response of Circular Footings[J].J.Eng.Mech.Div,ASCE,1971,97(5):1381-1395.
[9]Veletsos A S,Wei Y T.Lateral and Rocking Vibration of Foot-ings[J].Journal of Soil Mechanics and Foundation,ASCE,1971,97(5):1227-1248.
[10]Luco J E.Vibrations of a Rigid Disc on a Layered ViscoelasticMedia[J].Nuclear Engineering and Design,1976,36(3):325-340.
[11]Lysmer J,Kuhlemeyer R L.Finite Dynamic Model for InfiniteMedia[J].Journal of Engineering Mechanics,ASCE.1969,95(1):759-877.
[12]Smith W D.A Nonreflecting Plane Boundary for Wave Propaga-tion Problems[J].Journal of Computational Physics,1974,15(3):492-503.
[13]Clayton R,Engquist B.Absorbing Boundary Conditions for A-coustic and Elastic Wave Equations[J].Bulletin of the Seismo-logical Society of America,1977,67(6):1529-1540.
[14]Engquist B,Majda A.Absorbing Boundary Conditions for theNumerical Solution of Waves[J].Mathematics of Computa-tions,1977,31(3):629-651.
[15]廖振鹏,杨柏坡,袁一凡.暂态弹性波分析中人工边界的研究[J].地震工程与工程振动,1982,2(1):1-11.
[16]廖振鹏,黄孔亮,杨柏坡,等.暂态波分析的透射边界条件[J].中国科学(A辑),1984,26(6):556-564.
[17]Dominguez J.Dynamic Stiffness of Rectangular Foundation[R].Tech.Rep.R78-20,Dept.of Civil Eng.MIT.Cambridge Mass.1978.
[18]Karabalis D L,Beskos D E.Dynamic Stiffness of 3D Rigid Sur-face Foundation by Time Domain BEM[J].Earthquake Engi-neering&Structural Dynamics,1984,2:73-79.
[19]Wolf J P,Somaini D R.Approximate Dynamic Model of Embed-ded Foundation in Time Domain[J].Earthquake Engineering&Structural Dynaimcs,1986,14:683-703.
[20]De Barros F C P,Luco J E.Discrete Model for Vertical Vibra-tions of Surface and Embedded Foundation[J].Earthquake En-gineering and Structural Dynaimcs,1990,19:289-303.
[21]Jean W Y,Ling T W,Penzien J.System Parameter of Soil Foun-dation for Time Domain Dynamic Analysis[J].Earthquake Engi-neering&Structural Dynaimcs,1990,19:541-553.
[22]栾茂田,林皋.地基动力阻抗的双自由度集总参数模型[J].大连理工大学学报,1996,36(4):477-481.
[23]廖振鹏,刘晶波.波动有限元模拟的基本问题[J].中国科学(B辑),1992,35(11):874-882.
[24]Liao Z P,Liu J B.Numerical Instabilities of a Local Transmit-ting Boundary[J].Earthquake Engineering&Structural Dy-namics,1992,21(1):65-77.
[25]廖振鹏.工程波动理论导引[M].北京:科学出版社,1996.
[26]廖振鹏.法向透射边界条件[J].中国科学(E辑),1996,26(2):185-192.
[27]Liao Z P,Yang G.Multi Directional Transmitting Boundaries forSteady-State SH Waves[J].Earthquake Engineering and Struc-tural Dynamics,1995,24(3):361-371.
[28]Wolf J P,Song C.Doubly Asymptotic Multic-Directional Trans-mitting Boundary for Dynamic Unbounded Medium StructureInteraction Analysis[J].Earthquake Engineering&StructuralDynamics,1995,24(2):175-188.
[29]Abascal R,Dominguez J.Vibrations of Foting on ViscoelasticSoil.Engineering Mechanical[J].ASCE,1985,111(2):123-141.
[30]Karabalis D L,Beskos D E.Dynamic Analysis of 3D FlexibleFoundation by Time Domain FEM-BEM[J].International Jour-nal of Soil Dynamic and Earthquakes Engineering.1985,4(2):91-101.
[31]Gaitanaros A P,Karabalis D L.Dynamic Response of 3D Flexi-ble Foundation by Frequency Domain FEM-BEM[J].Earth-quake Engineering&Structure Dynamics.1988,16:653-674.
[32]Gucunski N,Peek R.Vertical Vibrations of Circular FlexibleFoundations on Layered Media[J].Soil Dynamics&EarthquakeEngineering.1993,12(3):182-192.
[33]金峰,张楚汉,王光纶.结构地基相互作用的FE-BE-IBE耦合模型[J].清华大学学报,1993,33(2):17-24.
[34]Yan J Y,Jin F,Zhang C H.A Coupling Procedure of FE andSBFE for Soil-Structure Interaction in Time Domain[J].Inter-national Journal for Numerical Methods in Engineering,2004,59(11):1453-1471.
[35]Lenmann L.An Effective Finite Element Approach for Soil-Structure Analysis in the Time-Domain[J].Structural Engineer-ing and Mechanics,2005,21(4):437-450.
[36]Genes M C,Kocak S.Dynamic Soil-Structure Interaction Analy-sis of Layered Unbounded Media Via a Coupled Finite Element/Boundary Element/scaled Boundary Finite Element model[J].International Journal for Numerical Methods in Engineering,2005,62(6):798-823.
[37]王复明.层状地基分析的样条半解析法及其应用[D].大连:大连理工大学,1987.
[38]秦荣.结构力学的样条函数方法[M].南宁:广西人民出版社,1985.
[39]曹志远,Cheung Y K.半解析数值方法[M].北京:国防工业出版社,1992.
[40]Wolf J P,Song Ch.Finite-Element Modelling of UnboundedMedia[M].New York:Wiley,1996.
[41]Song Ch,Wolf J P.The Scaled Boundary Finite-Element Meth-od-Alias Consistent Infinitesimal Finite-Element Cell Mmethod-for Elastodynamics[J].Computer Methods in Applied Mechan-ics and Engineering,1997,147(3-4):329-355.
[42]Wolf J P.The Scaled Boundary Finite Element method.Chiches-ter[M]:Wiley,2003.
[43]Doherty J P,Deeks A J.Application of the Scaled Boundary Fi-nite-Element Method to Offshore Foundation Systems[A].Pro-ceeding of the 12th International Offshore and Polar EngineeringConferencel[C].Kitakyusha,2002.
[44]Song Ch,Wolf J P.Semi-Analytical Representation of StressSingularities as Occurring in Cracks in Multi-Mmaterials Withthe Scaled Boundary Finite-Element Method[J].Computers andStructures,2002,80(2):183-197.
[45]Deeks A J,Cheng L.Potential Flow Around Obstacles Using theScaled Boundary Finite-Element Method[J].International Jour-nal for Numerical Methods in Fluids,2003,41(7):721-741.
[46]林皋,杜建国.基于SBFEM的坝-库水相互作用分析[J].大连理工大学学报,2005,45(5):723-729.
[47]松谷辉雄.兵库县南部地震中超高层钢筋混凝土结构建筑物振动特性评价[C]//第二届中日建筑结构技术交流会议论文集(上集).上海,1995.
[48]马恒春,陈健云,朱彤,等.非对称剪力墙-筒体超高层结构的振动台试验研究[J].结构工程师,2004(2):69-74.
[49]朱彤.结构动力模型相似问题及结构动力试验技术研究[D].大连:大连理工大学,2004.
[50]吕西林,陈跃庆,陈波,等.结构-地基动力相互作用体系振动台模型试验研究[J].地震工程与工程振动,2000,20(4):20-29.
[51]陈跃庆,吕西林,黄炜.结构-地基相互作用振动台试验中土体边界条件的模拟方法[J].结构工程师,2000(3):25-30.
[52]武敏刚,吕西林.混合结构振动台模型试验研究与计算分析[J].地震工程与工程振动,2004,24(6):103-108.
[53]李德玉,王海波,涂劲,等.拱坝坝体-地基动力相互作用的振动台动力模型试验研究[J].水利学报,2003(7):30-35.
[54]李德玉,张伯艳,王海波.重力坝坝体-库水相互作用的振动台试验研究[J].中国水利水电科学研究院学报,2003,1(3):216-220.
[55]王海波,李德玉,陈厚群.拱坝振动台动力破坏试验研究[J].土木工程学报,2006,39(7):109-118.
[56]陈清军,赵云峰,王汉东,等.振动台模型试验中地基土域的数值模拟[J].力学季刊,2002,23(3):407-411.
[57]Kausel E.Local Transmitting Boundaries.Journal of Engineer-ing Mechanics[J],ASCE,1988,114(6):1011-1027.
[58]Ungless R F.An Infinite Element[D].Columbia:University ofBritish Columbia,1973.
[59]Bettess P,Zienkiewicz O C.Diffraction and Reflection of SurfaceWaves Using Finite and Infinite Elements[J].InternationalJournal for Numerical Methods in Engineering,1977,11(8):1271-1290.
[60]Zhang Chuhan,Song Chongmin.Boundary Element Techniquein Infinite and Semi-Infinite Plane Domain[A].Proceedings ofthe International Conference on Boundary element,Beijing,1986.
[61]赵崇斌,张楚汉,张光斗.用无穷元模拟半无限平面弹性地基[J].清华大学学报,1986,26(3):51-63.
[62]Zhang Chuhan,Song Chongmin,Pekau O A.Infinite BoundaryElement for Dynamic Problems of 3-D Half Space[J].Interna-tional Journal for Numerical Methods in Engineering,1991,31(3):447-462.
[63]水利部国际合作与科技司.当代水利科技前沿[M].北京:中国水利水电出版社,2005.
[2]王凤霞,荆玉龙.浅谈土与结构动力相互作用[J].低温建筑技术,2001,4:27-29.
[3]Sung T Y.Vibration in Semi-Infinite Solids Due to Periodic Load-ing[A].ASTM-STP,No.156,Symposium on Dynamic Tesingof Soils[C],1953,35-64.
[4]Arnod R N et al.Forced Vibrations of Body on an Infinite ElasticSolid[J].Journal of Applied Mechanics,ASCE,1955,77:319-401.
[5]Bycroft G N.Forced Vibrations of a Rigid Circular Plate on aSemi-Infinite Elastic Space and on an Elastic Stratum[J].Philo.Trans.Roy.Soc.1956,248:327-368.
[6]Lysmer J,Richart E T.Dynamic Response of Footing to VerticalLoading[J].Journal of Soil Mechanics Division.ASCE,1966,92(1):65-91.
[7]Parmelee R A.Building-Foundation Interaction Effects[J].Jour-nal of the Engineering Mechanics Division,ASCE,1967,93(EM2):131-152.
[8]Luco J E,Westman R A.Dynamic Response of Circular Footings[J].J.Eng.Mech.Div,ASCE,1971,97(5):1381-1395.
[9]Veletsos A S,Wei Y T.Lateral and Rocking Vibration of Foot-ings[J].Journal of Soil Mechanics and Foundation,ASCE,1971,97(5):1227-1248.
[10]Luco J E.Vibrations of a Rigid Disc on a Layered ViscoelasticMedia[J].Nuclear Engineering and Design,1976,36(3):325-340.
[11]Lysmer J,Kuhlemeyer R L.Finite Dynamic Model for InfiniteMedia[J].Journal of Engineering Mechanics,ASCE.1969,95(1):759-877.
[12]Smith W D.A Nonreflecting Plane Boundary for Wave Propaga-tion Problems[J].Journal of Computational Physics,1974,15(3):492-503.
[13]Clayton R,Engquist B.Absorbing Boundary Conditions for A-coustic and Elastic Wave Equations[J].Bulletin of the Seismo-logical Society of America,1977,67(6):1529-1540.
[14]Engquist B,Majda A.Absorbing Boundary Conditions for theNumerical Solution of Waves[J].Mathematics of Computa-tions,1977,31(3):629-651.
[15]廖振鹏,杨柏坡,袁一凡.暂态弹性波分析中人工边界的研究[J].地震工程与工程振动,1982,2(1):1-11.
[16]廖振鹏,黄孔亮,杨柏坡,等.暂态波分析的透射边界条件[J].中国科学(A辑),1984,26(6):556-564.
[17]Dominguez J.Dynamic Stiffness of Rectangular Foundation[R].Tech.Rep.R78-20,Dept.of Civil Eng.MIT.Cambridge Mass.1978.
[18]Karabalis D L,Beskos D E.Dynamic Stiffness of 3D Rigid Sur-face Foundation by Time Domain BEM[J].Earthquake Engi-neering&Structural Dynamics,1984,2:73-79.
[19]Wolf J P,Somaini D R.Approximate Dynamic Model of Embed-ded Foundation in Time Domain[J].Earthquake Engineering&Structural Dynaimcs,1986,14:683-703.
[20]De Barros F C P,Luco J E.Discrete Model for Vertical Vibra-tions of Surface and Embedded Foundation[J].Earthquake En-gineering and Structural Dynaimcs,1990,19:289-303.
[21]Jean W Y,Ling T W,Penzien J.System Parameter of Soil Foun-dation for Time Domain Dynamic Analysis[J].Earthquake Engi-neering&Structural Dynaimcs,1990,19:541-553.
[22]栾茂田,林皋.地基动力阻抗的双自由度集总参数模型[J].大连理工大学学报,1996,36(4):477-481.
[23]廖振鹏,刘晶波.波动有限元模拟的基本问题[J].中国科学(B辑),1992,35(11):874-882.
[24]Liao Z P,Liu J B.Numerical Instabilities of a Local Transmit-ting Boundary[J].Earthquake Engineering&Structural Dy-namics,1992,21(1):65-77.
[25]廖振鹏.工程波动理论导引[M].北京:科学出版社,1996.
[26]廖振鹏.法向透射边界条件[J].中国科学(E辑),1996,26(2):185-192.
[27]Liao Z P,Yang G.Multi Directional Transmitting Boundaries forSteady-State SH Waves[J].Earthquake Engineering and Struc-tural Dynamics,1995,24(3):361-371.
[28]Wolf J P,Song C.Doubly Asymptotic Multic-Directional Trans-mitting Boundary for Dynamic Unbounded Medium StructureInteraction Analysis[J].Earthquake Engineering&StructuralDynamics,1995,24(2):175-188.
[29]Abascal R,Dominguez J.Vibrations of Foting on ViscoelasticSoil.Engineering Mechanical[J].ASCE,1985,111(2):123-141.
[30]Karabalis D L,Beskos D E.Dynamic Analysis of 3D FlexibleFoundation by Time Domain FEM-BEM[J].International Jour-nal of Soil Dynamic and Earthquakes Engineering.1985,4(2):91-101.
[31]Gaitanaros A P,Karabalis D L.Dynamic Response of 3D Flexi-ble Foundation by Frequency Domain FEM-BEM[J].Earth-quake Engineering&Structure Dynamics.1988,16:653-674.
[32]Gucunski N,Peek R.Vertical Vibrations of Circular FlexibleFoundations on Layered Media[J].Soil Dynamics&EarthquakeEngineering.1993,12(3):182-192.
[33]金峰,张楚汉,王光纶.结构地基相互作用的FE-BE-IBE耦合模型[J].清华大学学报,1993,33(2):17-24.
[34]Yan J Y,Jin F,Zhang C H.A Coupling Procedure of FE andSBFE for Soil-Structure Interaction in Time Domain[J].Inter-national Journal for Numerical Methods in Engineering,2004,59(11):1453-1471.
[35]Lenmann L.An Effective Finite Element Approach for Soil-Structure Analysis in the Time-Domain[J].Structural Engineer-ing and Mechanics,2005,21(4):437-450.
[36]Genes M C,Kocak S.Dynamic Soil-Structure Interaction Analy-sis of Layered Unbounded Media Via a Coupled Finite Element/Boundary Element/scaled Boundary Finite Element model[J].International Journal for Numerical Methods in Engineering,2005,62(6):798-823.
[37]王复明.层状地基分析的样条半解析法及其应用[D].大连:大连理工大学,1987.
[38]秦荣.结构力学的样条函数方法[M].南宁:广西人民出版社,1985.
[39]曹志远,Cheung Y K.半解析数值方法[M].北京:国防工业出版社,1992.
[40]Wolf J P,Song Ch.Finite-Element Modelling of UnboundedMedia[M].New York:Wiley,1996.
[41]Song Ch,Wolf J P.The Scaled Boundary Finite-Element Meth-od-Alias Consistent Infinitesimal Finite-Element Cell Mmethod-for Elastodynamics[J].Computer Methods in Applied Mechan-ics and Engineering,1997,147(3-4):329-355.
[42]Wolf J P.The Scaled Boundary Finite Element method.Chiches-ter[M]:Wiley,2003.
[43]Doherty J P,Deeks A J.Application of the Scaled Boundary Fi-nite-Element Method to Offshore Foundation Systems[A].Pro-ceeding of the 12th International Offshore and Polar EngineeringConferencel[C].Kitakyusha,2002.
[44]Song Ch,Wolf J P.Semi-Analytical Representation of StressSingularities as Occurring in Cracks in Multi-Mmaterials Withthe Scaled Boundary Finite-Element Method[J].Computers andStructures,2002,80(2):183-197.
[45]Deeks A J,Cheng L.Potential Flow Around Obstacles Using theScaled Boundary Finite-Element Method[J].International Jour-nal for Numerical Methods in Fluids,2003,41(7):721-741.
[46]林皋,杜建国.基于SBFEM的坝-库水相互作用分析[J].大连理工大学学报,2005,45(5):723-729.
[47]松谷辉雄.兵库县南部地震中超高层钢筋混凝土结构建筑物振动特性评价[C]//第二届中日建筑结构技术交流会议论文集(上集).上海,1995.
[48]马恒春,陈健云,朱彤,等.非对称剪力墙-筒体超高层结构的振动台试验研究[J].结构工程师,2004(2):69-74.
[49]朱彤.结构动力模型相似问题及结构动力试验技术研究[D].大连:大连理工大学,2004.
[50]吕西林,陈跃庆,陈波,等.结构-地基动力相互作用体系振动台模型试验研究[J].地震工程与工程振动,2000,20(4):20-29.
[51]陈跃庆,吕西林,黄炜.结构-地基相互作用振动台试验中土体边界条件的模拟方法[J].结构工程师,2000(3):25-30.
[52]武敏刚,吕西林.混合结构振动台模型试验研究与计算分析[J].地震工程与工程振动,2004,24(6):103-108.
[53]李德玉,王海波,涂劲,等.拱坝坝体-地基动力相互作用的振动台动力模型试验研究[J].水利学报,2003(7):30-35.
[54]李德玉,张伯艳,王海波.重力坝坝体-库水相互作用的振动台试验研究[J].中国水利水电科学研究院学报,2003,1(3):216-220.
[55]王海波,李德玉,陈厚群.拱坝振动台动力破坏试验研究[J].土木工程学报,2006,39(7):109-118.
[56]陈清军,赵云峰,王汉东,等.振动台模型试验中地基土域的数值模拟[J].力学季刊,2002,23(3):407-411.
[57]Kausel E.Local Transmitting Boundaries.Journal of Engineer-ing Mechanics[J],ASCE,1988,114(6):1011-1027.
[58]Ungless R F.An Infinite Element[D].Columbia:University ofBritish Columbia,1973.
[59]Bettess P,Zienkiewicz O C.Diffraction and Reflection of SurfaceWaves Using Finite and Infinite Elements[J].InternationalJournal for Numerical Methods in Engineering,1977,11(8):1271-1290.
[60]Zhang Chuhan,Song Chongmin.Boundary Element Techniquein Infinite and Semi-Infinite Plane Domain[A].Proceedings ofthe International Conference on Boundary element,Beijing,1986.
[61]赵崇斌,张楚汉,张光斗.用无穷元模拟半无限平面弹性地基[J].清华大学学报,1986,26(3):51-63.
[62]Zhang Chuhan,Song Chongmin,Pekau O A.Infinite BoundaryElement for Dynamic Problems of 3-D Half Space[J].Interna-tional Journal for Numerical Methods in Engineering,1991,31(3):447-462.
[63]水利部国际合作与科技司.当代水利科技前沿[M].北京:中国水利水电出版社,2005.
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