基于子结构方法的土-结构动力相互作用半解析方法研究现状综述
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摘要
寻求高效实用的力学模型和计算方法是土与基础动力相互作用效应在工程设计中得以考虑的关键。围绕3个问题对可以通过手算或自主编程解决土-基础-结构系统动力相互作用问题的半解析子结构法展开评述:(1)为何采用子结构法研究土与结构动力相互作用问题;(2)如何求解子结构法中作为关键参数的基础振动阻抗;(3)如何利用振动阻抗求解上部结构的动力响应。最后,结合实际工程问题探讨了在已有成果的基础上可进行深化和拓展的研究方向。
Areasonably accurate model with computational validity and efficiency for soil-structure interaction( SSI)is of preponderant significance in practical design. This paper reviews the issues and developments in the field of soil-structure interaction analysis based on the semi-analytical substructure method,which allows engineers to conduct calculations by hand or with minimum computational efforts. The discussion centers around the following three questions:( 1) Why use the substructure method to study the SSI problem?( 2) Howtodetermine the foundation impedance which is a key parameter in the substructure approach ?( 3) How to incorporate the foundation impedance with the conventional governing equations for analyzing the seismic response of the soil-foundation-structure system?Finally,further extensions of the previous work are proposed to help the civil engineers to improve the design of important structures.
Areasonably accurate model with computational validity and efficiency for soil-structure interaction( SSI)is of preponderant significance in practical design. This paper reviews the issues and developments in the field of soil-structure interaction analysis based on the semi-analytical substructure method,which allows engineers to conduct calculations by hand or with minimum computational efforts. The discussion centers around the following three questions:( 1) Why use the substructure method to study the SSI problem?( 2) Howtodetermine the foundation impedance which is a key parameter in the substructure approach ?( 3) How to incorporate the foundation impedance with the conventional governing equations for analyzing the seismic response of the soil-foundation-structure system?Finally,further extensions of the previous work are proposed to help the civil engineers to improve the design of important structures.
引文
[1] REISSNER E S. Axialsymmetrische durch eine sehuttelnde masse erregt eschwingungen-eines homogenen elastischen halbraumes[J]. IngenieurArch,1936,7(6):381-396.
[2] PARMELEE R A. Building-foundation interaction effects[J]. Journal of the Engineering Mechanics Division,1967,93(2):131-152.
[3]严人觉,王贻荪,韩清宇.动力基础半空间理论概论[M].北京:中国建筑工业出版社,1981.YAN Renjue,WANG Yisun,HAN Qingyu. Summary of Dynamic Foundation on Half Space Theory[M]. Beijing:China Architechure and Building Press,1981.(in Chinese)
[4]蒋通,田治见宏.地基-结构动力相互作用分析方法:薄层法原理及应用[M].同济大学出版社,2009.JIANG Tong,TAJIMI H. Soil-structure Interaction:Theory and Application of Thin Layered Method[M]. Shanghai:Tongji University,2009.(in Chinese)
[5] WOLF J P. Dynamic Soil-structure Interaction[M]. Prentice Hall int.,1985.
[6] WOLF J P. Foundation Vibration Analysis Using Simple Physical Models[M]. Englewood Cliffs:NJ:Prentice-Hall,1994.
[7]蒋建国,周绪红,邹银生,等.土-结构动力相互作用研究的发展历程及展望[J].岩土工程界,2001,4(6):47-49.JIANG Jianguo,ZHOU Xuhong,ZOU Yingsheng,et al. Development and prospect of soil-structure dynamic interaction[J]. Geotecnical Engineering World,2001,4(6):47-49.(in Chinese)
[8] Roesset J M. Soil structure interaction the early stages[J]. Journal of Applied Science and Engineering,2013,16(1):1-8.
[9]张建民,张嘎.土体与结构物动力相互作用研究进展[J].岩土力学与工程学报,2001,20(S1):854-865.ZHANG Jianmin,ZHANG Ga. Review on the study development of dynamic soil-structure interaction[J]. Chinese Journal of Rock Mechanics and Engineering,2001,20(S1):854-865.(in Chinese)
[10]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.FANG Zhi,LU Haoliang,WANG Long. Anoverview on research of dynamic soil-structure interaction[J]. World Earthquake Engineering,2006,22(1):57-63.(in Chinese)
[11]薛素铎,刘毅,李雄彦.土-结构动力相互作用研究若干问题综述[J].世界地震工程,2013,29(2):1-9.XUE Suduo,LIU Yi,LI Xiongyan. Review of some problems about research on soil-structure dynamic interaction[J]. World Earthquake Engineering,2013,29(2):1-9.(in Chinese)
[12] CLOUTEAU D,COTTEREAU R,LOMBAERT G. Dynamics of structures coupled with elastic media-A review of numerical models and methods[J]. Journal of Sound and Vibration,2013,332(10):2415-2436.
[13] DOBRY R. Simplified methods in soil dynamics[J]. Soil Dynamics and Earthquake Engineering,2014,61-62:246-268.
[14] CHOPRA A K,PERUMALSWAMI P R. Dam-foundation interaction during earthquakes[Z]. Santiago:1969.
[15] ANAM I,ROESSET J M. Dynamic stiffnesses of surface foundations:an explicit solution[J]. International Journal of Geomechanics,2004,4(3):216-223.
[16] CAI Y Q,CHENG Y M,ALFRED AU S K,et al. Vertical vibration of an elastic strip footing on saturated soil[J]. International Journal for Numerical and Analytical Methods in Geomechanics,2008,32(5):493-508.
[17] LAMB H. On the propagation of tremors over the surface of an elastic solid[J]. Philosophical Transactions of the Royal Society of London. Series A,1904,203(1):1-42.
[18] PAK R Y,GUZINA B B. Three-dimensional Green's functions for a multilayered half-space in displacement potentials[J]. Journal of Engineering Mechanics. 2002,128(4):449-461.
[19] PHILIPPACOPOULOS A J. Lamb's problem for fluid-saturated,porous media[J]. Bulletin of the Seismological Society of America,1988,78(2):908-923.
[20]韩泽军,林皋,周小文.三维横观各向同性层状地基任意点格林函数求解[J].岩土工程学报,2016,38(12):2218-2225.HAN Zejun,LIN Gao,ZHOU Xiaowen. Solution to Green's functions for arbitrary points in 3D cross-anisotropic multi-layered soil[J]. Chinese Journal of Geotechnical Engineering,2016,38(12):2218-2225.(in Chinese)
[21] KAUSEL E,ROESSET J M. Semianalytichyperelement for layered strata[J]. Journal of the Engineering Mechanics Division,1977,103(4):569-588.
[22]王立忠,陈云敏,吴世明,等.饱和弹性半空间在低频谐和集中力下的积分形式解[J].水利学报,1996,1(2):84-88.WANG Lizhong,CHEN Yunmin,WU Shiming,et al. A solution to saturated elastic half-space under harmonic force of low frequency[J],Shuili Xuebao,1996,1(2):84-88.(in Chinese)
[23] DING B,XU T,CHEN J,et al. Comprehensive form of solution for Lamb's dynamic problem expressed by Green's functions[J]. Applied Mathematics and Mechanics,2013,34(12):1543-1552.
[24] LIN G,HAN Z,ZHONG H,et al. A precise integration approach for dynamic impedance of rigid strip footing on arbitrary anisotropic layered half-space[J]. Soil Dynamics and Earthquake Engineering,2013,49:96-108.
[25]林皋,韩泽军,李建波.层状地基任意形状刚性基础动力响应求解[J].力学学报,2012,44(6):1016-1027.LIN Gao,HAN Zejun,LI Jianbo. Solution of the dynamic response of rigid foundation of arbitrary shaped on multi-layered soil[J]. Chinese Journal of Theoretical and Applied Mechanics,2012,44(6):1016-1027.(in Chinese)
[26] HAN Z,LIN G,LI J. Dynamic impedance functions for arbitrary-shaped rigid foundation embedded in anisotropic multilayered soil[J]. Journal of Engineering Mechanics,ASCE,2015,141(11):4015045.
[27]文学章,尚守平.形状不规则基础-地基的动力扭转相互作用[J].振动工程学报,2008,21(4):359-364.WEN Xuezhang,SHANG Shouping. Dynamic torsional interaction between soil and irregularly shaped foundation[J]. Journal of Vibration Engineering,2008,21(4):359-364.(in Chinese)
[28]王珏,周叮,刘伟庆,等.基于格林函数的相邻条形基础摇摆动力相互作用[J].岩土力学,2015,35(1):97-103.WANG Jue,ZHOU Ding,LIU Weiqing,et al. Green function analysis of rocking interaction between soil and adjacent strip foundations[J].Rocking and Soil Mechanics,2015,35(1):97-103.(in Chinese)
[29]王珏,周叮,刘伟庆,等.相邻明置刚性条形基础的水平-摇摆耦合阻抗研究[J].振动工程学报,2016,29(2):253-260.WANG Jue,ZHOU Ding,LIU Weiqing,et al. Coupled lateral-rocking impedances of adjacent rigid strip foundations rested on elastic half-space[J]. Journal of Vibration Engineering,2016,29(2):253-260.(in Chinese)
[30] WANG J,LO S H,ZHOU D,et al. Frequency-dependent Impedance of a strip foundation group and its representation in time domain[J]. Applied Mathematical Modelling,2015,39(10):2861-2881.
[31] AMIRI-HEZAVEH A,ESKANDARI-GHADI M,RAHIMIAN M,et al. Impedance functions for surface rigid rectangular foundations on transversely isotropic multilayer half-spaces[J]. Journal of Applied Mechanics,2013,80(5):51017.
[32] EHLERS G. The effect of soil flexibility on vibrating systems[J]. Beton und Eisen,1942,41(21/22).
[33] PRADHAN P K,BAIDYA D K,GHOSH D P. Dynamic response of foundations resting on layered soil by cone model[J]. Soil Dynamics and Earthquake Engineering,2004,24(6):425-434.
[34] CHEN W. Cone model for two surface foundations on layered soil[J]. Earthquake Engineering and Engineering Vibration,2006(2):183-187.
[35] NAKAMURA N. A practical method for estimating dynamic soil stiffness on surface of multi-layered soil[J]. Earthquake Engineering&Structural Dynamics. 2005,34(11):1391-1406.
[36] MUKI R,STERNBERG E. Elastostatic load-transfer to a half-space from a partially embedded axially loaded rod[J]. International Journal of Solids and Structures,1970,6(1):69-90.
[37] LU J,ZHANG X,WAN J,et al. The influence of a fixed axial top load on the dynamic response of a single pile[J]. Computers and Geotechnics,2012,39:54-65.
[38] PAK R Y S,JENNINGS P C. Elastodynamic response of pile under transverse excitations[J]. Journal of engineering mechanics,ASCE,1987,113(7):1101-1116.
[39] KAYNIA A M,KAUSEL E. Dynamic stiffness and seismic response of pile groups[R]. 1982.
[40] NOGAMI T,NOVAK M. Resistance of soil to a horizontally vibrating pile[J]. Earthquake Engineering&Structural Dynamics,1977,5(3):249-261.
[41] MYLONAKIS G. Winkler modum for axil piles[J]. Geotechnique,2001,51(5):455-461.
[42] ANOYATIS G,LEMNITZER A. Dynamic pile impedances for laterally-loaded piles using improved Tajimi and Winkler formulations[J]. Soil Dynamics and Earthquake Engineering,2017,92:279-297.
[43] DOBRY R,GAZETAS G. Simple method for dynamic stiffness and damping of floating pile groups[J]. Geotechnique,1988,38(4):557-574.
[44] GAZETAS G,MAKRIS N. Dynamic pile-soil-pile interaction. Part I:Analysis of axial vibration[J]. Earthquake Engineering&Structural Dynamics,1991,20(2):115-132.
[45] MAKRIS N,GAZETAS G. Dynamic pile-soil-pile interaction. Part II:Lateral and seismic response[J]. Earthquake Engineering&Structural Dynamics,1992,21(2):145-162.
[46] MYLONAKIS G,GAZETAS G. Lateral vibration and internal forces of grouped piles in layered soil[J]. Journal of Geotechnical and Geoenvironmental Engineering,1999,125(1):16-25.
[47]黄茂松,吴志明,任青.层状地基中群桩的水平振动特性[J].岩土工程学报,2007,29(1):32-38.HUANG Maosong,WU Zhiming,REN Qing. Lateral vibration of pile groups in layered soil[J]. Chinese Journal of Geotechnical Engineering,2007,29(1):32-38.(in Chinese)
[48] LIU Y,WANG X,ZHANG M. Lateral vibration of pile groups partially embedded in layered saturated soils[J]. International Journal of Geomechanics,2014.
[49]高广运,赵元一,高盟,等.分层土中群桩水平动力阻抗的改进计算[J].岩土力学,2010,31(2):509-515.GAO Guangyun,ZHAO Yuanyi,GAO Meng,et al. Improved calculation for lateral dynamic impedance of pile groups in layered soil[J]. Rock and Soil Mechanics,2010,31(2):509-515.(in Chinese)
[50] WANG J,ZHOU D,LIU W Q. Horizontal impedance of pile groups considering shear behavior of multilayered soils[J]. Soils and Foundations,2014,54(5):927-937.
[51] JIANG J G,ZHOU X H,ZHANG J S. Dynamic interaction factor considering axial load[J]. Geotechnical and Geological Engineering,2007,25(4):423-429.
[52] WANG J,LO S H,ZHOU D. Effect of a forced harmonic vibration pile to its adjacent pile in layered elastic soil with double-shear model[J].Soil Dynamics and Earthquake Engineering,2014,67:54-65.
[53] WANG J,ZHOU D,Ji T,et al. Horizontal dynamic stiffness and interaction factors of inclined piles[J]. International Journal of Geomechanics,ASCE,2017,17(9):04017075.
[54]刘林超,杨骁.分数导数模型描述的饱和土桩纵向振动分析[J].岩土力学,2011,32(2):526-532.LIU Linchao,YANG Xiao. Analysis of vertical vibrations of a pile in saturated soil described by fractional derivative model[J]. Rock and Soil Mechanics,2011,32(2):526-532.(in Chinese)
[55] ZHONG R,HUANG M. Winkler model for dynamic response of composite caisson-piles foundations:Seismic response[J]. Soil Dynamics and Earthquake Engineering. 2014,66:241-251.
[56] GHAEMMAGHAMI A R,MERCAN O,KIANOUSH R. Seismic soil-structure interaction analysis of wind turbines in frequency domain[J].Wind Energy,2017,20(1):125-142.
[57]楼梦麟,吴京宁.桩基-结构体系的地震响应分析[J].土木工程学报,1999,32(5):56-61.LOU Menglin,WU Jingning. Seismic response analysis of pile foundation structure system[J]. China Civil Engineering Journal,1999,32(5):56-61.(in Chinese)
[58] KJ?RLAUG R A,KAYNIA A M. Vertical earthquake response of megawatt-sized wind turbine with soil-structure interaction effects[J]. Earthquake Engineering&Structural Dynamics,2015,44(13):2341-2358.
[59] WOLF J P,SOMAINI D R. Approximate dynamic model of embedded foundation in time domain[J]. Earthquake Engineering&Structural Dynamics,1986,14(5):683-703.
[60] DE BARROS F C,LUCO J E. Discrete models for vertical vibrations of surface and embedded foundations[J]. Earthquake Engineering&Structural Dynamics,1990,19(2):289-303.
[61] JEAN W Y,LIN T W,PENZIEN J. System parameters of soil foundations for time domain dynamic analysis[J]. Earthquake Engineering&Structural Dynamics,1990,19(4):541-553.
[62]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):477-482.LUAN Maotian,LIN Gao. 2-DOF lumped-parameter model of dynamic impedances of foundation soils[J]. Journal of Dalian University of Technology,1996,36(4):477-481.(in Chinese)
[63]王满生,潘旦光,周锡元.基于土层集总参数模型的土-结构动力相互作用分析[J].北京科技大学学报,2007,29(1):5-10.WANG Mansheng,PAN Danguang,ZHOU Xiyuan. Soi-structure interaction analysis based on the soil lumped parameters model[J]. Journal of University of Science and Technology Beijing,2007,29(1):5-10.(in Chinese)
[64] WANG Q,WANG J,JIN F,et al. Real-time dynamic hybrid testing for soil-structure interaction analysis[J]. Soil Dynamics and Earthquake Engineering,2011,31(12):1690-1702.
[65] WOLF J P. Consistent lumped-parameter models for unbounded soil:Physical representation[J]. Earthquake Engineering&Structural Dynamics,1991,20(1):11-32.
[66] SAFAK E. Time-domain representation of frequency-dependent foundation impedance functions[J]. Soil Dynamics and Earthquake Engineering,2006,26(1):65-70.
[67] WU W,LEE W. Systematic lumped-parameter models for foundations based on polynomial-fraction approximation[J]. Earthquake Engineering&Structural Dynamics,2002,31(7):1383-1412.
[68] WU W,LEE W. Nested lumped-parameter models for foundation vibrations[J]. Earthquake Engineering&Structural Dynamics,2004,33(9):1051-1058.
[69] ANDERSEN L. Assessment of lumped-parameter models for rigid footings[J]. Computers&Structures,2010,88(23-24):1333-1347.
[70] DAMGAARD M,ZANIA V,ANDERSEN L V,et al. Effects of soil-structure interaction on real time dynamic response of offshore wind turbines on monopiles[J]. Engineering Structures. 2014,75:388-401.
[71]赵建锋,杜修力.地基阻抗力时域递归参数的计算方法及程序实现[J].岩土工程学报,2008,30(1):34-40.ZHAO Jianfeng,DU Xiuli. Computation method and realization procedure for time-domain recursive parameters of ground resistance[J]. Chinese Journal of Geotechnical Engineering,2008,30(1):34-40.(in Chinese)
[72] DU X,ZHAO M. Stability and identification for rational approximation of frequency response function of unbounded soil[J]. Earthquake Engineering&Structural Dynamics,2010,39:165-186.
[73] DU X,ZHAO M. High-order spring-dashpot-mass boundaries for cylindrical waves[M]. Springer,2009:193-199.
[74]刘伟庆,王海,王曙光,等.群桩基础阻抗函数的集总参数模型研究[J].振动与冲击,2011,30(11):249-253.LIU Weiqing,WANG Hai,WANG Shuguang,et al. Lumped-parameter model of pile group impedance function[J]. Journal of Vibration and Shock,2011,30(11):249-253.(in Chinese)
[75] WANG J,ZHOU D,LIU W,et al. Nested lumped-parameter model for foundation with strongly frequency-dependent impedance[J]. Journal of Earthquake Engineering,2016,20(6):975-991.
[76]赵宏,高广运,姜洲.基于矢量匹配-劳斯法的群桩阻抗改进模型[J].岩土力学,2014,35(9):2448-2454.ZHAO Hong,GAO Guangyun,JIANG Zhou. An improved model for dynamic impedance of pile groups based on vector fitting-routh method[J].Rocking and Soil Mechanics,2014,35(9):2448-2454.(in Chinese)
[77] WU W,CHEN C. Simplified soil-structure interaction analysis using efficient lumped-parameter models for soil[J]. Soils and Foundations,2002,42(6):41-52.
[78] SAITOH M. Simple model of frequency-dependent impedance functions in soil-structure interaction using frequency-independent elements[J].Journal of Engineering Mechanics,2007,133(10):1101-1114.
[79] LESGIDIS N,KWON O,SEXTOS A. A time-domain seismic SSI analysis method for inelastic bridge structures through the use of a frequencydependent lumped parameter model[J]. Earthquake Engineering&Structural Dynamics,2015,44(13):2137-2156.
[2] PARMELEE R A. Building-foundation interaction effects[J]. Journal of the Engineering Mechanics Division,1967,93(2):131-152.
[3]严人觉,王贻荪,韩清宇.动力基础半空间理论概论[M].北京:中国建筑工业出版社,1981.YAN Renjue,WANG Yisun,HAN Qingyu. Summary of Dynamic Foundation on Half Space Theory[M]. Beijing:China Architechure and Building Press,1981.(in Chinese)
[4]蒋通,田治见宏.地基-结构动力相互作用分析方法:薄层法原理及应用[M].同济大学出版社,2009.JIANG Tong,TAJIMI H. Soil-structure Interaction:Theory and Application of Thin Layered Method[M]. Shanghai:Tongji University,2009.(in Chinese)
[5] WOLF J P. Dynamic Soil-structure Interaction[M]. Prentice Hall int.,1985.
[6] WOLF J P. Foundation Vibration Analysis Using Simple Physical Models[M]. Englewood Cliffs:NJ:Prentice-Hall,1994.
[7]蒋建国,周绪红,邹银生,等.土-结构动力相互作用研究的发展历程及展望[J].岩土工程界,2001,4(6):47-49.JIANG Jianguo,ZHOU Xuhong,ZOU Yingsheng,et al. Development and prospect of soil-structure dynamic interaction[J]. Geotecnical Engineering World,2001,4(6):47-49.(in Chinese)
[8] Roesset J M. Soil structure interaction the early stages[J]. Journal of Applied Science and Engineering,2013,16(1):1-8.
[9]张建民,张嘎.土体与结构物动力相互作用研究进展[J].岩土力学与工程学报,2001,20(S1):854-865.ZHANG Jianmin,ZHANG Ga. Review on the study development of dynamic soil-structure interaction[J]. Chinese Journal of Rock Mechanics and Engineering,2001,20(S1):854-865.(in Chinese)
[10]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.FANG Zhi,LU Haoliang,WANG Long. Anoverview on research of dynamic soil-structure interaction[J]. World Earthquake Engineering,2006,22(1):57-63.(in Chinese)
[11]薛素铎,刘毅,李雄彦.土-结构动力相互作用研究若干问题综述[J].世界地震工程,2013,29(2):1-9.XUE Suduo,LIU Yi,LI Xiongyan. Review of some problems about research on soil-structure dynamic interaction[J]. World Earthquake Engineering,2013,29(2):1-9.(in Chinese)
[12] CLOUTEAU D,COTTEREAU R,LOMBAERT G. Dynamics of structures coupled with elastic media-A review of numerical models and methods[J]. Journal of Sound and Vibration,2013,332(10):2415-2436.
[13] DOBRY R. Simplified methods in soil dynamics[J]. Soil Dynamics and Earthquake Engineering,2014,61-62:246-268.
[14] CHOPRA A K,PERUMALSWAMI P R. Dam-foundation interaction during earthquakes[Z]. Santiago:1969.
[15] ANAM I,ROESSET J M. Dynamic stiffnesses of surface foundations:an explicit solution[J]. International Journal of Geomechanics,2004,4(3):216-223.
[16] CAI Y Q,CHENG Y M,ALFRED AU S K,et al. Vertical vibration of an elastic strip footing on saturated soil[J]. International Journal for Numerical and Analytical Methods in Geomechanics,2008,32(5):493-508.
[17] LAMB H. On the propagation of tremors over the surface of an elastic solid[J]. Philosophical Transactions of the Royal Society of London. Series A,1904,203(1):1-42.
[18] PAK R Y,GUZINA B B. Three-dimensional Green's functions for a multilayered half-space in displacement potentials[J]. Journal of Engineering Mechanics. 2002,128(4):449-461.
[19] PHILIPPACOPOULOS A J. Lamb's problem for fluid-saturated,porous media[J]. Bulletin of the Seismological Society of America,1988,78(2):908-923.
[20]韩泽军,林皋,周小文.三维横观各向同性层状地基任意点格林函数求解[J].岩土工程学报,2016,38(12):2218-2225.HAN Zejun,LIN Gao,ZHOU Xiaowen. Solution to Green's functions for arbitrary points in 3D cross-anisotropic multi-layered soil[J]. Chinese Journal of Geotechnical Engineering,2016,38(12):2218-2225.(in Chinese)
[21] KAUSEL E,ROESSET J M. Semianalytichyperelement for layered strata[J]. Journal of the Engineering Mechanics Division,1977,103(4):569-588.
[22]王立忠,陈云敏,吴世明,等.饱和弹性半空间在低频谐和集中力下的积分形式解[J].水利学报,1996,1(2):84-88.WANG Lizhong,CHEN Yunmin,WU Shiming,et al. A solution to saturated elastic half-space under harmonic force of low frequency[J],Shuili Xuebao,1996,1(2):84-88.(in Chinese)
[23] DING B,XU T,CHEN J,et al. Comprehensive form of solution for Lamb's dynamic problem expressed by Green's functions[J]. Applied Mathematics and Mechanics,2013,34(12):1543-1552.
[24] LIN G,HAN Z,ZHONG H,et al. A precise integration approach for dynamic impedance of rigid strip footing on arbitrary anisotropic layered half-space[J]. Soil Dynamics and Earthquake Engineering,2013,49:96-108.
[25]林皋,韩泽军,李建波.层状地基任意形状刚性基础动力响应求解[J].力学学报,2012,44(6):1016-1027.LIN Gao,HAN Zejun,LI Jianbo. Solution of the dynamic response of rigid foundation of arbitrary shaped on multi-layered soil[J]. Chinese Journal of Theoretical and Applied Mechanics,2012,44(6):1016-1027.(in Chinese)
[26] HAN Z,LIN G,LI J. Dynamic impedance functions for arbitrary-shaped rigid foundation embedded in anisotropic multilayered soil[J]. Journal of Engineering Mechanics,ASCE,2015,141(11):4015045.
[27]文学章,尚守平.形状不规则基础-地基的动力扭转相互作用[J].振动工程学报,2008,21(4):359-364.WEN Xuezhang,SHANG Shouping. Dynamic torsional interaction between soil and irregularly shaped foundation[J]. Journal of Vibration Engineering,2008,21(4):359-364.(in Chinese)
[28]王珏,周叮,刘伟庆,等.基于格林函数的相邻条形基础摇摆动力相互作用[J].岩土力学,2015,35(1):97-103.WANG Jue,ZHOU Ding,LIU Weiqing,et al. Green function analysis of rocking interaction between soil and adjacent strip foundations[J].Rocking and Soil Mechanics,2015,35(1):97-103.(in Chinese)
[29]王珏,周叮,刘伟庆,等.相邻明置刚性条形基础的水平-摇摆耦合阻抗研究[J].振动工程学报,2016,29(2):253-260.WANG Jue,ZHOU Ding,LIU Weiqing,et al. Coupled lateral-rocking impedances of adjacent rigid strip foundations rested on elastic half-space[J]. Journal of Vibration Engineering,2016,29(2):253-260.(in Chinese)
[30] WANG J,LO S H,ZHOU D,et al. Frequency-dependent Impedance of a strip foundation group and its representation in time domain[J]. Applied Mathematical Modelling,2015,39(10):2861-2881.
[31] AMIRI-HEZAVEH A,ESKANDARI-GHADI M,RAHIMIAN M,et al. Impedance functions for surface rigid rectangular foundations on transversely isotropic multilayer half-spaces[J]. Journal of Applied Mechanics,2013,80(5):51017.
[32] EHLERS G. The effect of soil flexibility on vibrating systems[J]. Beton und Eisen,1942,41(21/22).
[33] PRADHAN P K,BAIDYA D K,GHOSH D P. Dynamic response of foundations resting on layered soil by cone model[J]. Soil Dynamics and Earthquake Engineering,2004,24(6):425-434.
[34] CHEN W. Cone model for two surface foundations on layered soil[J]. Earthquake Engineering and Engineering Vibration,2006(2):183-187.
[35] NAKAMURA N. A practical method for estimating dynamic soil stiffness on surface of multi-layered soil[J]. Earthquake Engineering&Structural Dynamics. 2005,34(11):1391-1406.
[36] MUKI R,STERNBERG E. Elastostatic load-transfer to a half-space from a partially embedded axially loaded rod[J]. International Journal of Solids and Structures,1970,6(1):69-90.
[37] LU J,ZHANG X,WAN J,et al. The influence of a fixed axial top load on the dynamic response of a single pile[J]. Computers and Geotechnics,2012,39:54-65.
[38] PAK R Y S,JENNINGS P C. Elastodynamic response of pile under transverse excitations[J]. Journal of engineering mechanics,ASCE,1987,113(7):1101-1116.
[39] KAYNIA A M,KAUSEL E. Dynamic stiffness and seismic response of pile groups[R]. 1982.
[40] NOGAMI T,NOVAK M. Resistance of soil to a horizontally vibrating pile[J]. Earthquake Engineering&Structural Dynamics,1977,5(3):249-261.
[41] MYLONAKIS G. Winkler modum for axil piles[J]. Geotechnique,2001,51(5):455-461.
[42] ANOYATIS G,LEMNITZER A. Dynamic pile impedances for laterally-loaded piles using improved Tajimi and Winkler formulations[J]. Soil Dynamics and Earthquake Engineering,2017,92:279-297.
[43] DOBRY R,GAZETAS G. Simple method for dynamic stiffness and damping of floating pile groups[J]. Geotechnique,1988,38(4):557-574.
[44] GAZETAS G,MAKRIS N. Dynamic pile-soil-pile interaction. Part I:Analysis of axial vibration[J]. Earthquake Engineering&Structural Dynamics,1991,20(2):115-132.
[45] MAKRIS N,GAZETAS G. Dynamic pile-soil-pile interaction. Part II:Lateral and seismic response[J]. Earthquake Engineering&Structural Dynamics,1992,21(2):145-162.
[46] MYLONAKIS G,GAZETAS G. Lateral vibration and internal forces of grouped piles in layered soil[J]. Journal of Geotechnical and Geoenvironmental Engineering,1999,125(1):16-25.
[47]黄茂松,吴志明,任青.层状地基中群桩的水平振动特性[J].岩土工程学报,2007,29(1):32-38.HUANG Maosong,WU Zhiming,REN Qing. Lateral vibration of pile groups in layered soil[J]. Chinese Journal of Geotechnical Engineering,2007,29(1):32-38.(in Chinese)
[48] LIU Y,WANG X,ZHANG M. Lateral vibration of pile groups partially embedded in layered saturated soils[J]. International Journal of Geomechanics,2014.
[49]高广运,赵元一,高盟,等.分层土中群桩水平动力阻抗的改进计算[J].岩土力学,2010,31(2):509-515.GAO Guangyun,ZHAO Yuanyi,GAO Meng,et al. Improved calculation for lateral dynamic impedance of pile groups in layered soil[J]. Rock and Soil Mechanics,2010,31(2):509-515.(in Chinese)
[50] WANG J,ZHOU D,LIU W Q. Horizontal impedance of pile groups considering shear behavior of multilayered soils[J]. Soils and Foundations,2014,54(5):927-937.
[51] JIANG J G,ZHOU X H,ZHANG J S. Dynamic interaction factor considering axial load[J]. Geotechnical and Geological Engineering,2007,25(4):423-429.
[52] WANG J,LO S H,ZHOU D. Effect of a forced harmonic vibration pile to its adjacent pile in layered elastic soil with double-shear model[J].Soil Dynamics and Earthquake Engineering,2014,67:54-65.
[53] WANG J,ZHOU D,Ji T,et al. Horizontal dynamic stiffness and interaction factors of inclined piles[J]. International Journal of Geomechanics,ASCE,2017,17(9):04017075.
[54]刘林超,杨骁.分数导数模型描述的饱和土桩纵向振动分析[J].岩土力学,2011,32(2):526-532.LIU Linchao,YANG Xiao. Analysis of vertical vibrations of a pile in saturated soil described by fractional derivative model[J]. Rock and Soil Mechanics,2011,32(2):526-532.(in Chinese)
[55] ZHONG R,HUANG M. Winkler model for dynamic response of composite caisson-piles foundations:Seismic response[J]. Soil Dynamics and Earthquake Engineering. 2014,66:241-251.
[56] GHAEMMAGHAMI A R,MERCAN O,KIANOUSH R. Seismic soil-structure interaction analysis of wind turbines in frequency domain[J].Wind Energy,2017,20(1):125-142.
[57]楼梦麟,吴京宁.桩基-结构体系的地震响应分析[J].土木工程学报,1999,32(5):56-61.LOU Menglin,WU Jingning. Seismic response analysis of pile foundation structure system[J]. China Civil Engineering Journal,1999,32(5):56-61.(in Chinese)
[58] KJ?RLAUG R A,KAYNIA A M. Vertical earthquake response of megawatt-sized wind turbine with soil-structure interaction effects[J]. Earthquake Engineering&Structural Dynamics,2015,44(13):2341-2358.
[59] WOLF J P,SOMAINI D R. Approximate dynamic model of embedded foundation in time domain[J]. Earthquake Engineering&Structural Dynamics,1986,14(5):683-703.
[60] DE BARROS F C,LUCO J E. Discrete models for vertical vibrations of surface and embedded foundations[J]. Earthquake Engineering&Structural Dynamics,1990,19(2):289-303.
[61] JEAN W Y,LIN T W,PENZIEN J. System parameters of soil foundations for time domain dynamic analysis[J]. Earthquake Engineering&Structural Dynamics,1990,19(4):541-553.
[62]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):477-482.LUAN Maotian,LIN Gao. 2-DOF lumped-parameter model of dynamic impedances of foundation soils[J]. Journal of Dalian University of Technology,1996,36(4):477-481.(in Chinese)
[63]王满生,潘旦光,周锡元.基于土层集总参数模型的土-结构动力相互作用分析[J].北京科技大学学报,2007,29(1):5-10.WANG Mansheng,PAN Danguang,ZHOU Xiyuan. Soi-structure interaction analysis based on the soil lumped parameters model[J]. Journal of University of Science and Technology Beijing,2007,29(1):5-10.(in Chinese)
[64] WANG Q,WANG J,JIN F,et al. Real-time dynamic hybrid testing for soil-structure interaction analysis[J]. Soil Dynamics and Earthquake Engineering,2011,31(12):1690-1702.
[65] WOLF J P. Consistent lumped-parameter models for unbounded soil:Physical representation[J]. Earthquake Engineering&Structural Dynamics,1991,20(1):11-32.
[66] SAFAK E. Time-domain representation of frequency-dependent foundation impedance functions[J]. Soil Dynamics and Earthquake Engineering,2006,26(1):65-70.
[67] WU W,LEE W. Systematic lumped-parameter models for foundations based on polynomial-fraction approximation[J]. Earthquake Engineering&Structural Dynamics,2002,31(7):1383-1412.
[68] WU W,LEE W. Nested lumped-parameter models for foundation vibrations[J]. Earthquake Engineering&Structural Dynamics,2004,33(9):1051-1058.
[69] ANDERSEN L. Assessment of lumped-parameter models for rigid footings[J]. Computers&Structures,2010,88(23-24):1333-1347.
[70] DAMGAARD M,ZANIA V,ANDERSEN L V,et al. Effects of soil-structure interaction on real time dynamic response of offshore wind turbines on monopiles[J]. Engineering Structures. 2014,75:388-401.
[71]赵建锋,杜修力.地基阻抗力时域递归参数的计算方法及程序实现[J].岩土工程学报,2008,30(1):34-40.ZHAO Jianfeng,DU Xiuli. Computation method and realization procedure for time-domain recursive parameters of ground resistance[J]. Chinese Journal of Geotechnical Engineering,2008,30(1):34-40.(in Chinese)
[72] DU X,ZHAO M. Stability and identification for rational approximation of frequency response function of unbounded soil[J]. Earthquake Engineering&Structural Dynamics,2010,39:165-186.
[73] DU X,ZHAO M. High-order spring-dashpot-mass boundaries for cylindrical waves[M]. Springer,2009:193-199.
[74]刘伟庆,王海,王曙光,等.群桩基础阻抗函数的集总参数模型研究[J].振动与冲击,2011,30(11):249-253.LIU Weiqing,WANG Hai,WANG Shuguang,et al. Lumped-parameter model of pile group impedance function[J]. Journal of Vibration and Shock,2011,30(11):249-253.(in Chinese)
[75] WANG J,ZHOU D,LIU W,et al. Nested lumped-parameter model for foundation with strongly frequency-dependent impedance[J]. Journal of Earthquake Engineering,2016,20(6):975-991.
[76]赵宏,高广运,姜洲.基于矢量匹配-劳斯法的群桩阻抗改进模型[J].岩土力学,2014,35(9):2448-2454.ZHAO Hong,GAO Guangyun,JIANG Zhou. An improved model for dynamic impedance of pile groups based on vector fitting-routh method[J].Rocking and Soil Mechanics,2014,35(9):2448-2454.(in Chinese)
[77] WU W,CHEN C. Simplified soil-structure interaction analysis using efficient lumped-parameter models for soil[J]. Soils and Foundations,2002,42(6):41-52.
[78] SAITOH M. Simple model of frequency-dependent impedance functions in soil-structure interaction using frequency-independent elements[J].Journal of Engineering Mechanics,2007,133(10):1101-1114.
[79] LESGIDIS N,KWON O,SEXTOS A. A time-domain seismic SSI analysis method for inelastic bridge structures through the use of a frequencydependent lumped parameter model[J]. Earthquake Engineering&Structural Dynamics,2015,44(13):2137-2156.
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