Abstract：Large-diameter end-bearing pile is widely used in offshore engineering and high-rise building. The classical plane-strain model of soil is reviewed and its limitations are discussed. An improved model is developed on the basis of plane strain model，which can consider the coincidence of lateral and vertical vibration. The proposed model is proved to be correct after comparing with classical solutions. And then，the above model is introduced into vertical vibration model to discuss dynamic impedance and axial force of large-diameter end-bearing pile in layered soils. After analysis of the slenderness ratio，hysteretic damping ratio，soil Poisson's ratio，pile-soil relative stiffness and pile-soil relative density，it can be concluded that slenderness ratio，soil Poisson's ratio and pile-soil relative stiffness are the key factors for dynamic impedance of large-diameter end-bearing pile. Finally，the present model is supported by three-dimensional finite element method in predicting dynamic response of large diameter monopile foundations used in offshore wind farm and cross-sea bridge，which shows that the present model can give more reasonable guidance on vibration of large-diameter end-bearing pile.
NOVAK M. Piles under dynamic loads[C]// Proceedings of the 2nd International Conference on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics. St. Louis：[s. n.]，1991：2433-2456.
[2]
PENDER M. Aseismic pile foundation design analysis[J]. Bulletin of the New Zealand National Society for Earthquake Engineering，1993，26(1)：49-160.
[3]
GEROLYMOS N，GAZETAS G. Phenomenological model appliedto inelastic response of soil-pile interaction systems[J]. Soils and Foundations，2005，45(4)：119-132.
[4]
GEROLYMOS N，GAZETAS G. Constitutive model for 1D cyclic soil behaviour applied to seismic analysis of layered deposits[J]. Soils and Foundations，2005，45(3)：147-159.
[5]
NOVAK M，TOYOAKI N，FAKHRY A E. Dynamic soil reactions for
plane strain case[J]. Journal of the Engineering Mechanics Division，1978，104(4)：953-959.
[6]
NOVAK M，JOHN F H. Dynamic response of pile foundations in torsion[J]. Journal of the Geotechnical Engineering Division，1978，104(5)：535-552.
[7]
NOVAK M，TOYOAKI N，FAKHRY A E. Impedance functions of piles in layered media[J]. Journal of the Engineering Mechanics Division，1978，104(3)：643-661.
[8]
MYLONAKIS G. Elastic dynamic model for large-diameter end bearing shafts[J]. Soils and Foundations，2001，41(3)：31-44.
[9]
胡昌斌，王奎华，谢康和.考虑桩土耦合作用时弹性支承桩纵向振动特性分析及应用[J]. 工程力学，2003，20(2)：146-154.(HU Changbin，WANG Kuihua，XIE Kanghe. Soil-pile interaction in vertical vibrations of a pile with elastic bottom boundaries and its application[J]. Engineering Mechanics，2003，20(2)：146-154.(in Chinese))
[10]
王奎华，阙仁波，夏建中.考虑土体真三维波动效应时桩的振动理论及对近似理论的校核[J].岩石力学与工程学报，2005，24(8)：1362-1370.(WANG Kuihua，QUE Renbo，XIA Jianzhong. Theory of pile vibration considering true three-dimensional wave effect of soil and its check on the approximate theories[J].Chinese Journal of Rock Mechanics and Engineering，2005，24(8)：1362-1370.(in Chinese))
[11]
BLANEY G W，KAUSEL E，ROESSET J M. Dynamic stiffness of piles[C]// Proceedingsof Second International Conference of NumericalMethods in Geomechanics，ASCE. Blacksburg，Virginia：[s. n.]，1976：1001-1012.
National Building Code of Canada (NBCC). Canadian commission on building and fire codes[R].Canada ：National Research Council Canada，2005.
[14]
GAZETAS G，DOBRYR. Horizontal response of pile in layered soils[J]. Journal of Geotechnical Engineering and Structure Dynamics，1984，110(1)：20-40.
[15]
ACHMUS M，ABDEL-RAHMAN K，KUO YS. Numerical modeling of large diameter steel piles under monotonic and cyclic horizontal loading[C]//International Symposium on Numerical Models in Geomechanics(NUMOG X). Rhodes，Greece：[s. n.]，2007：453-459.
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