饱和地基中二维空沟远场被动隔振研究
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摘要
针对饱和地基中二维空沟远场被动隔振问题,首先,基于饱和多孔介质频域边界单元法,建立了以薄层法(TLM)基本解作为动力Green函数的饱和土半解析边界元法,该方法可有效分析饱和半空间的动力问题,是解决土-结构动力相互作用问题的一种有效工具。在此基础上,推导得到了空沟对Rayleigh波散射的二维边界元方程,对空沟的远场隔振问题进行了详细的参数分析。结果表明:设置空沟能够对地面振动起到较好的隔振作用;当空沟深度小于1个Rayleigh波波长时,提高空沟深度能够有效的提高其隔振效果;而空沟宽度对隔振效果的影响相对较小;饱和地基参数改变对空沟隔振效果影响不大。
The ground vibration isolation efficiency of open trench used as passive barriers in homogeneous saturated ground was studied.The investigation was accomplished with the aid of the semi-analytical boundary element method(BEM) in cooperation with the basic solution of the thin layered method(TLM).Consequently,a two-dimensional(2D) semi-analytical BEM model was put forward,where the TLM basic solution was employed,to examine the performance of open trench used as passive vibration isolation device taking into account the dynamical interaction of soil-structure.Effects of the model parameters on effectiveness of vibration isolation by open trench were investigated and discussed in detail.The results show that open trenches are efficient to isolate the ground vibrations due to the incident Rayleigh wave.When the depth of the open trench is less than the Rayleigh wavelength,increasing the depth results in an increase in the screening effectiveness,while the width has less effect on vibration isolation efficiency.Furthermore,the parameters of saturated soil,as well as the drainage boundary conditions of half-space,have less effect on the screening effectiveness.
The ground vibration isolation efficiency of open trench used as passive barriers in homogeneous saturated ground was studied.The investigation was accomplished with the aid of the semi-analytical boundary element method(BEM) in cooperation with the basic solution of the thin layered method(TLM).Consequently,a two-dimensional(2D) semi-analytical BEM model was put forward,where the TLM basic solution was employed,to examine the performance of open trench used as passive vibration isolation device taking into account the dynamical interaction of soil-structure.Effects of the model parameters on effectiveness of vibration isolation by open trench were investigated and discussed in detail.The results show that open trenches are efficient to isolate the ground vibrations due to the incident Rayleigh wave.When the depth of the open trench is less than the Rayleigh wavelength,increasing the depth results in an increase in the screening effectiveness,while the width has less effect on vibration isolation efficiency.Furthermore,the parameters of saturated soil,as well as the drainage boundary conditions of half-space,have less effect on the screening effectiveness.
引文
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[14]徐平,闫东明,邓亚虹,等.单排非连续刚性桩屏障对弹性波的隔离[J].振动与冲击,2007,26(11):133-137.
[15]丁光亚,蔡袁强,王军,等.饱和土中管桩对倾斜入射弹性波的隔离[J].振动与冲击,2010,29(3):121-124.
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[17]Biot M A.Theory of propagation of elastic waves in a fluid-saturated porous solid.II.Higher frequency range[J].JAcoust Soc Am,1956,28:179-191.
[18]Cheng A H D,Badmus T,Beskos D E.Integral equationsfor dynamic poroelasticity in frequency domain with BEMsolution[J].J Engng Mec ASCE,1991,117:1136-1157.
[19]Schanz M,Heinz A,Thomas R.Convolution quadratureboundary element method for quasi-static visco-andporoelastic continua[J].Computers and Structures,2005,83:673-684.
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[23]Woods R D,Barnet N E,Sangesser R H.A new tool for soildynamics[J].Journal of Geotechnical Engineering,1974,100(11):1231-1247.
[24]Conter E,Dente G.Screening of rayleigh waves by opentrenches[C].//Third international conference on recentadvances in geotechnical earthquake engineering and soildynamics.Missouri,1995:763-768.
[2]Woods R D.Screening of surface waves in soils[J].Journalof the soil mechanics and foundations division,ASCE,1968,94(4):951-979.
[3]Haupt W A.Model tests on screening of surface waves[C]//Proceedings of the 10th International Conference in SoilMechanics and Foundation Engineering,Stockholm,1981,3:215-22.
[4]Ahmad S,Al-Hussaini T M.Simplified design for vibrationscreening by open and in-filled trenches[J].Journal ofGeotechnical Engineering,ASCE 1991,117(1):67-88.
[5]Klein R,Antes H,Le Houe'dec D.Efficient 3D modelling ofvibration isolation by open trenches[J].Comput Struct,1997,64:809-817.
[6]Haupt W A.Numerical methods for the computation ofsteady-state harmonic wave fields[C]//Proceedings ofDMSR77.Karlsruhe,1977:255-280.
[7]May T W,Bolt B A.The effectiveness of trenches inreducing seismic motion[J].Earthquake Engineering andStructural Dynamics,1982,10:195-210.
[8]Beskos D E,Dasgupta G,Vardoulakis I G.Vibrationisolation using open or filled trenches,part 1:2-Dhomogeneous soil[J].Computational mechanics,1986,1(1):43-63.
[9]Banerjee P K,Ahmad S,Chen K.Advanced application ofBEM to wave barriers in multilayered 3-D soil media[J].Earthquake engineering and structure dynamics,1988,16(7):1041-1060.
[10]Al-Hussaini T M,Ahmad S.Numerical and experimentalstudies on vibration screening by open and in-filled trenchbarriers[C].//Chouw N,Schmid G,editors.InternationalWorkshop on Wave Propagation,Moving Load and VibrationReduction,Rotterdam:Balkema,2000:241-250.
[11]Leung K L,Beskos D,Vardoulakis I G.Vibration isolationusing open or filled trenches,Part 3:2-D nonhomogeneoussoil[J].Computer and Mechanics,1990,7:137-148.
[12]Leung K L,Vardoulakis IG,Beskos D E,et.al.Vibrationisolation by trenches in continuously non-homogeneous soil bythe BEM[J].Soil Dynamic and Earthquake Engineering,1991,10(3):172-179.
[13]高广运,彭争光,李伟,等.三维层状地基空沟主动隔振分析[J].西北地震学,2006,28(3):210-215.
[14]徐平,闫东明,邓亚虹,等.单排非连续刚性桩屏障对弹性波的隔离[J].振动与冲击,2007,26(11):133-137.
[15]丁光亚,蔡袁强,王军,等.饱和土中管桩对倾斜入射弹性波的隔离[J].振动与冲击,2010,29(3):121-124.
[16]Boit M A.Theory of propagation of elastic waves in a fluid-saturated porous solid.I.Low-frequency range[J].J AcoustSoc Am,1956,28:168-178.
[17]Biot M A.Theory of propagation of elastic waves in a fluid-saturated porous solid.II.Higher frequency range[J].JAcoust Soc Am,1956,28:179-191.
[18]Cheng A H D,Badmus T,Beskos D E.Integral equationsfor dynamic poroelasticity in frequency domain with BEMsolution[J].J Engng Mec ASCE,1991,117:1136-1157.
[19]Schanz M,Heinz A,Thomas R.Convolution quadratureboundary element method for quasi-static visco-andporoelastic continua[J].Computers and Structures,2005,83:673-684.
[20]Kausel E.An explicit solution for the green functions fordynamic loads in layered media[D].Cambridge:MIT,Department of Civil Engineering,1981.
[21]Seal S H.Dynamic loads in layered halfspaces[D].Cambridge:MIT,Department of Civil Engineering,1985.
[22]时刚.饱和地基中Rayleigh波的传播与屏障隔振研究[D].上海:同济大学,2008.
[23]Woods R D,Barnet N E,Sangesser R H.A new tool for soildynamics[J].Journal of Geotechnical Engineering,1974,100(11):1231-1247.
[24]Conter E,Dente G.Screening of rayleigh waves by opentrenches[C].//Third international conference on recentadvances in geotechnical earthquake engineering and soildynamics.Missouri,1995:763-768.
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