三维层状地基排桩远场被动隔振分析
摘要
屏障隔振是治理振动污染一种极为有效的手段,被广泛应用到工程实际中,但目前关于屏障隔振的研究主要基于弹性均质半空间条件,而对更符合实际的层状地基屏障隔振问题则鲜有报道,尤其是层状地基中复杂的三维非连续屏障隔振问题。将三维直角坐标下的二次形函数薄层法基本解答代入弹性动力边界积分方程,得到薄层法半解析边界元法,分析不同桩长和不同桩土剪切模量比对排桩隔振效果的影响。结果表明:(1)上软下硬层状地基中的排桩被动隔振,排桩的有效深度为2.5左右,远大于排桩在均质地基中的有效深度1.0;(2)对于上硬下软层状地基,排桩的有效深度为2.0左右,小于上软下硬地基中排桩的有效深度;(3)当桩与表层土剪切模量比5≤G*≤30时,随G*的增加,排桩隔振效果增加明显。
Wave barrier has been widely employed in engineering as an effective way to harness vibration pollution.Studies on vibration isolation using barrier are mainly based on elastic half-space soil at present,and little attention is paid to the vibration isolation in layered foundation in accordance with reality.The semi-analytical boundary element method(BEM) with the basic solution of thin layered method(TLM) using orthogonal coordinates and the second shape function was employed to investigate the isolation effect of passive wave barriers in layered foundation.The numerical results indicate that:(1) Based on the numerical study of a upper-soft lower-hard foundation,the normalized depth of piles in row as passive vibration isolation is about 2.5 for providing satisfying vibration isolation effect,which is greater than that in homogeneous ground(1.0);(2) The normalized depth of piles in row is about 2.0 for a upper-hard lower-soft foundation;(3) If the ratio of shear modulus of pile to that of topsoil,G* meets the requirement of 5≤G*≤30,the vibration isolation effect obviously increases with G*.
Wave barrier has been widely employed in engineering as an effective way to harness vibration pollution.Studies on vibration isolation using barrier are mainly based on elastic half-space soil at present,and little attention is paid to the vibration isolation in layered foundation in accordance with reality.The semi-analytical boundary element method(BEM) with the basic solution of thin layered method(TLM) using orthogonal coordinates and the second shape function was employed to investigate the isolation effect of passive wave barriers in layered foundation.The numerical results indicate that:(1) Based on the numerical study of a upper-soft lower-hard foundation,the normalized depth of piles in row as passive vibration isolation is about 2.5 for providing satisfying vibration isolation effect,which is greater than that in homogeneous ground(1.0);(2) The normalized depth of piles in row is about 2.0 for a upper-hard lower-soft foundation;(3) If the ratio of shear modulus of pile to that of topsoil,G* meets the requirement of 5≤G*≤30,the vibration isolation effect obviously increases with G*.
引文
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[2]高广运,杨先健,王贻荪,等.排桩隔振的理论与应用[J].建筑结构学报,1997,18(4):58–69.(GAO Guangyun,YANG Xianjian,WANG Yisun,et al.Theory and application of vibration isolation bypiles in rows[J].Journal of Building Structures,1997,18(4):58–69.(in Chinese))
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[8]KATTIS S E,POLYZOS D,BESKOS D E.Modeling of pile wavebarriers by effective trenches and their screening effectiveness[J].SoilDynamics and Earthquake Engineering,1999,18(1):1–10.
[9]KANDA H,ISHII H,YOSHIOKA O,et al.Vibration reductionperformance of PC wall-piles examined by field measurements with avibration exciter and numerical analyses[J].Geophysical Exploration,2005,58(4):377–389.
[10]丁光亚,蔡袁强,徐长节.饱和土中刚性排桩对平面SV波的隔离分析[J].岩土力学,2009,30(3):849–854.(DING Guangya,CAIYuanqiang,XU Changjie.Analysis of vibration isolation of a row ofrigid piles to plane SV waves in saturated soil[J].Rock and SoilMechanics,2009,30(3):849–854.(in Chinese))
[11]蔡袁强,丁光亚,徐长节.饱和土中排桩对入射S波隔离的三维分析[J].自然灾害学报,2008,17(2):1–7.(CAI Yuanqiang,DINGGuangya,XU Changjie.Three-dimensional isolation analysis of a rowof pile in saturated soil from incident S waves[J].Journal of NaturalDisasters,2008,17(2):1–7.(in Chinese))
[12]陆建飞,聂卫东.饱和土中单桩在瑞利波作用下的动力响应[J].岩土工程学报,2008,30(2):225–231.(LU Jianfei,NIE Weidong.Dynamic response of single pile embedded in half-space saturated soilsubjected to Rayleigh waves[J].Chinese Journal of GeotechnicalEngineering,2008,30(2):225–231.(in Chinese))
[13]《数学手册》编写组.数学手册[M].北京:人民教育出版社,1979:250–257.(Compilation Group of Mathematics Handbook.Mathematicshandbook[M].Beijing:People s Education Press,1979:250–257.(inChinese))
[14]彭争光.层状地基中屏障被动隔振三维分析[博士学位论文][D].上海:同济大学,2008.(PENG Zhengguang.3D analysis of passivevibration isolation by wave barriers in layered ground[Ph.D.Thesis][D].Shanghai:Tongji University,2008.(in Chinese))
[15]李志毅,高广运,邱畅,等.多排桩屏障远场被动隔振分析[J].岩石力学与工程学报,2005,24(21):3990–3995.(LI Zhiyi,GAOGuangyun,QIU Chang,et al.Analysis of multi-row of piles as barriersfor isolating vibration in far field[J].Chinese Journal of RockMechanics and Engineering,2005,24(21):3 990–3 995.(in Chinese))
[16]GAO G Y,LI Z Y,QIU C,et al.Three-dimensional analysis of rowsof piles as passive barriers for ground vibration isolation[J].SoilDynamics and Earthquake Engineering,2006,26(11):1 015–1 027.
[17]高广运.非连续屏障地面隔振理论与应用[博士学位论文][D].杭州:浙江大学,1998.(GAO Guangyun.Theory and application ofground vibration isolation by discontinuous barriers[Ph.D.Thesis][D].Hangzhou:Zhejiang University,1998.(in Chinese))
[18]邱畅.连续屏障和非连续屏障远场被动隔振三维分析[博士学位论文][D].上海:同济大学,2003.(QIU Chang.3D analysis for passiveisolation vibration with continuous and discontinuous barrier in farfield[Ph.D.Thesis][D].Shanghai:Tongji University,2003.(in Chinese))
[19]高广运,彭争光,张梦芳,等.层状地基空沟被动隔振分析[J].西北地震学报,2009,31(2):115–120.(GAOGuangyun,PENGZhengguang,ZHANG Mengfang,et al.Analysis of passive vibration isolation usingopen trench in layered ground[J].Northwestern Seismological Journal,2009,31(2):115–120.(in Chinese))
[20]LEUNG K L,VARDOULAKIS I G,BESKOS D E.Vibration isolationof structures from surface waves in homogeneous and nonhomogeneoussoils[C]//CAKMAK A S ed.Soil-structure Interaction.Amsterdam:Elsevier,1987:155–169.
[21]LEUNG K L.Vibration isolation of structures from ground-transmittedwaves in non-homogeneous elastic soil[Ph.D.Thesis][D].Minneapolis:University of Minnesota,1989.
[2]高广运,杨先健,王贻荪,等.排桩隔振的理论与应用[J].建筑结构学报,1997,18(4):58–69.(GAO Guangyun,YANG Xianjian,WANG Yisun,et al.Theory and application of vibration isolation bypiles in rows[J].Journal of Building Structures,1997,18(4):58–69.(in Chinese))
[3]杨先健.工业环境振动中的土动力学问题[J].岩土工程学报,1992,14(2):82–88.(YANG Xianjian.Soil dynamics problems inindustrial environment[J].Chinese Journal of Geotechnical Engineering,1992,14(2):82–88.(in Chinese))
[4]WOODS R D,BARNETT N E,SAGESSER R.Holography—a newtool for soil dynamics[J].Journal of the Geotechnical EngineeringDivision,ASCE,1974,100(11):1 234–1 247.
[5]AVILES J,SANCHEZ-SESMA F J.Piles as barriers for elasticwaves[J].Journal of Geotechnical Engineering,1983,109(9):1 133–1 146
[6]AVILES J,SANCHEZ-SESMA F J.Foundation isolation fromvibration using piles as barriers[J].Journal of Engineering Mechanics,1988,114(11):1 854–1 870.
[7]BOROOMAND B,KAYNIA A M.Vibration isolation by an array ofpiles[C]//Proceedings of the 1st International Conference on SoilDynamics and Earthquake Engineering.Southampton:ComputationalMechanics Publications,1991:683–691.
[8]KATTIS S E,POLYZOS D,BESKOS D E.Modeling of pile wavebarriers by effective trenches and their screening effectiveness[J].SoilDynamics and Earthquake Engineering,1999,18(1):1–10.
[9]KANDA H,ISHII H,YOSHIOKA O,et al.Vibration reductionperformance of PC wall-piles examined by field measurements with avibration exciter and numerical analyses[J].Geophysical Exploration,2005,58(4):377–389.
[10]丁光亚,蔡袁强,徐长节.饱和土中刚性排桩对平面SV波的隔离分析[J].岩土力学,2009,30(3):849–854.(DING Guangya,CAIYuanqiang,XU Changjie.Analysis of vibration isolation of a row ofrigid piles to plane SV waves in saturated soil[J].Rock and SoilMechanics,2009,30(3):849–854.(in Chinese))
[11]蔡袁强,丁光亚,徐长节.饱和土中排桩对入射S波隔离的三维分析[J].自然灾害学报,2008,17(2):1–7.(CAI Yuanqiang,DINGGuangya,XU Changjie.Three-dimensional isolation analysis of a rowof pile in saturated soil from incident S waves[J].Journal of NaturalDisasters,2008,17(2):1–7.(in Chinese))
[12]陆建飞,聂卫东.饱和土中单桩在瑞利波作用下的动力响应[J].岩土工程学报,2008,30(2):225–231.(LU Jianfei,NIE Weidong.Dynamic response of single pile embedded in half-space saturated soilsubjected to Rayleigh waves[J].Chinese Journal of GeotechnicalEngineering,2008,30(2):225–231.(in Chinese))
[13]《数学手册》编写组.数学手册[M].北京:人民教育出版社,1979:250–257.(Compilation Group of Mathematics Handbook.Mathematicshandbook[M].Beijing:People s Education Press,1979:250–257.(inChinese))
[14]彭争光.层状地基中屏障被动隔振三维分析[博士学位论文][D].上海:同济大学,2008.(PENG Zhengguang.3D analysis of passivevibration isolation by wave barriers in layered ground[Ph.D.Thesis][D].Shanghai:Tongji University,2008.(in Chinese))
[15]李志毅,高广运,邱畅,等.多排桩屏障远场被动隔振分析[J].岩石力学与工程学报,2005,24(21):3990–3995.(LI Zhiyi,GAOGuangyun,QIU Chang,et al.Analysis of multi-row of piles as barriersfor isolating vibration in far field[J].Chinese Journal of RockMechanics and Engineering,2005,24(21):3 990–3 995.(in Chinese))
[16]GAO G Y,LI Z Y,QIU C,et al.Three-dimensional analysis of rowsof piles as passive barriers for ground vibration isolation[J].SoilDynamics and Earthquake Engineering,2006,26(11):1 015–1 027.
[17]高广运.非连续屏障地面隔振理论与应用[博士学位论文][D].杭州:浙江大学,1998.(GAO Guangyun.Theory and application ofground vibration isolation by discontinuous barriers[Ph.D.Thesis][D].Hangzhou:Zhejiang University,1998.(in Chinese))
[18]邱畅.连续屏障和非连续屏障远场被动隔振三维分析[博士学位论文][D].上海:同济大学,2003.(QIU Chang.3D analysis for passiveisolation vibration with continuous and discontinuous barrier in farfield[Ph.D.Thesis][D].Shanghai:Tongji University,2003.(in Chinese))
[19]高广运,彭争光,张梦芳,等.层状地基空沟被动隔振分析[J].西北地震学报,2009,31(2):115–120.(GAOGuangyun,PENGZhengguang,ZHANG Mengfang,et al.Analysis of passive vibration isolation usingopen trench in layered ground[J].Northwestern Seismological Journal,2009,31(2):115–120.(in Chinese))
[20]LEUNG K L,VARDOULAKIS I G,BESKOS D E.Vibration isolationof structures from surface waves in homogeneous and nonhomogeneoussoils[C]//CAKMAK A S ed.Soil-structure Interaction.Amsterdam:Elsevier,1987:155–169.
[21]LEUNG K L.Vibration isolation of structures from ground-transmittedwaves in non-homogeneous elastic soil[Ph.D.Thesis][D].Minneapolis:University of Minnesota,1989.
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