基于多孔介质理论的饱和土中群桩水平振动特性
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摘要
Dobry和Gazetas分析群桩振动特性的理论是将土体视为单相介质提出的,对于饱和土中桩-桩相互作用和群桩振动是否适用有待验证。将土体视为液固两相多孔介质,运用Novak薄层法和引入势函数的方法,求解了饱和土层的水平动力阻抗和自由场水平位移衰减函数,并在初参数法的基础上求解了桩-桩水平动力相互作用因子,运用基于动力相互作用因子的叠加原理对饱和土中群桩的水平振动进行了分析,并以3×3桩为例对群桩动力阻抗的主要影响参数进行了分析。提供了一种分析饱和土中桩-桩动力相互作用和群桩动力阻抗的新方法。
The theory of analysis of the vibration of pile group proposed by Dobry and Gazetas only for single phase soil,it is needed to verify the theory is suitable for the pile group in saturated soil or not.Based on the theory of porous media,the horizontal dynamic impedance of saturated soil and the attenuation function of horizontal displacement of free field were obtained with Novak layer method and potential functions by regarding soil as two-phase medium.The pile-pile dynamic interaction factor is obtained by initial parameter method;and the horizontal vibration of pile group in saturated soil is investigated by superposition principle which based on dynamic interaction factor;and analyzing the influence of main parameters on the dynamic impedance of pile group with an example of 3×3 pile group.A new method for studying the pile-pile dynamic interaction and the horizontal dynamic impedance of pile group in saturated soil is provided.
The theory of analysis of the vibration of pile group proposed by Dobry and Gazetas only for single phase soil,it is needed to verify the theory is suitable for the pile group in saturated soil or not.Based on the theory of porous media,the horizontal dynamic impedance of saturated soil and the attenuation function of horizontal displacement of free field were obtained with Novak layer method and potential functions by regarding soil as two-phase medium.The pile-pile dynamic interaction factor is obtained by initial parameter method;and the horizontal vibration of pile group in saturated soil is investigated by superposition principle which based on dynamic interaction factor;and analyzing the influence of main parameters on the dynamic impedance of pile group with an example of 3×3 pile group.A new method for studying the pile-pile dynamic interaction and the horizontal dynamic impedance of pile group in saturated soil is provided.
引文
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[8]余俊,尚守平,李忠.饱和土中桩水平振动引起土层复阻抗分析研究[J].岩土力学,2009,31(12):3858-3864.YU Jun,SHANG Shou-ping LI Zhong.Study of resitance factor of saturated soil caused by horizontal vibration of pile[J].Rock and Soil Mechanics,2009,31(12):3858-3864.
[9]EDELMAN I,WILMANSKI K.Asymptotic analysis of surface waves at vacuum/porous medium and liquid/porous medium interfaces[J].Continuum Mechanics and Thermodynamics,2002,14:25-44.
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[11]DE BOER.Theory of porous media:Highlights in the historical development and current state[M].Berlin:Springer-Verlag,2000.
[12]YANG Xiao,HENG Chang-jun.Gurtin variational principle and finite element simulation for dynamical problems of fluid-saturated porous media[J].Acta Mechanica Solida Sinica,2003,16(1):24-32.
[13]李耀庄,李博.单桩水平及水平-摇摆耦合振动分析[J].世界地震工程,2006,22(4):160-165.LI Yao-zhuang,LI Bo.Analysis of horizontal vibrations and horizontal-rocking vibrations of pile[J].World Earthquake Engineering,2006,22(4):160-165.
[2]DOBRY R,GAZETAS G.Simple method for dynamic stiffness and damping of floating pile groups[J].Geotechnique,1988,38(4):557-574.
[3]GAZETAS G,DOBRY R.Dynamic pile-soil-pile interaction.PartⅠ:analysis of axial vibration[J].Earthquake Engineering and Structure Dynamics,1991,20:115-132.
[4]ORLANDO MAESO,JUAN J AZNAREZ,FIDEL GARCIA.Dynamic impedances of piles and groups of piles in saturated soils[J].Computers&Structures,2005,83:769-782.
[5]张玉红,黄义.二相介质饱和土中群桩动力阻抗分析[J].地震工程与工程振动,2001,21(3):113-116.ZHANG Yu-hong,HUANG Yi.Dynamic impedance of group piles in two-phase fluid-saturated soils[J].Earthquake Engineering and Engineering Vibration,2001,21(3):113-116.
[6]周香莲,周光明,王建华.垂直受荷群桩在半空间饱和土中的稳态反应[J].计算力学学报2005,22(5):598-602.ZHOU Xiang-lian,ZHOU Guang-ming,WANG Jian-hua.Harmic response of pile groups subjected to vertical load in half space saturated soil[J].Chinese Journal of Computational Mechanics,2005,22(5):598-602.
[7]周香莲,周光明,王建华.水平简谐荷载作用下饱和土中群桩的动力反应[J],岩石力学与工程学报,2005,24(8):1433-1438.ZHOU Xiang-lian,ZHOU Guang-ming,WANG Jian-hua.Dynamic response of pile group in saturated soil subjected to horizontal loads[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(8):1433-1438.
[8]余俊,尚守平,李忠.饱和土中桩水平振动引起土层复阻抗分析研究[J].岩土力学,2009,31(12):3858-3864.YU Jun,SHANG Shou-ping LI Zhong.Study of resitance factor of saturated soil caused by horizontal vibration of pile[J].Rock and Soil Mechanics,2009,31(12):3858-3864.
[9]EDELMAN I,WILMANSKI K.Asymptotic analysis of surface waves at vacuum/porous medium and liquid/porous medium interfaces[J].Continuum Mechanics and Thermodynamics,2002,14:25-44.
[10]刘林超,杨骁.基于多孔介质理论的饱和土中桩基水平振动研究[J].土木工程学报,2010,43(5):1-5.LIU Lin-chao,YANG Xiao.A porous medium theory study of lateral vibration of piles in saturated soils[J].China Civil Engineering Journal,2010,43(5):1-5.
[11]DE BOER.Theory of porous media:Highlights in the historical development and current state[M].Berlin:Springer-Verlag,2000.
[12]YANG Xiao,HENG Chang-jun.Gurtin variational principle and finite element simulation for dynamical problems of fluid-saturated porous media[J].Acta Mechanica Solida Sinica,2003,16(1):24-32.
[13]李耀庄,李博.单桩水平及水平-摇摆耦合振动分析[J].世界地震工程,2006,22(4):160-165.LI Yao-zhuang,LI Bo.Analysis of horizontal vibrations and horizontal-rocking vibrations of pile[J].World Earthquake Engineering,2006,22(4):160-165.
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