车辆动荷载作用下隔振沟响应增强区数值分析
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摘要
基于动力学基本方程,运用有限单元法(FEM)和NEWMARK隐式积分方法,对车辆荷载(FWD荷载)作用下明沟隔振结构附近振动响应增强区的分布范围特征及其增强效应进行了弹塑性数值分析。考虑到人工截断边界上波反射对计算结果的影响,分别用传递边界和半无限单元来处理侧面和底面边界。文中主要考虑了隔振沟位置、隔振沟深度和宽度三个主要影响因素,并在计算结果的基础上分析总结了他们对隔振沟响应增强区的影响规律。
According to the basic equation of dynamics,using FEM and NEWMARK implicit algorithm,an elastic-plastic numerical analysis was made to analyze the response magnified area of the vibration isolation construction of open trenches for the vibration induced by vehicle dynamic loads.In order to reduce the effect of wave reflecting on artificial boundaries,transmitting boundary and semi-infinite elements were respectively used to treat the lateral and underside boundaries.The position,depth and the width of open trenches were the three mainly considered factors.Finally,on the basis of the numerical calculation results,their effects laws were analyzed.
According to the basic equation of dynamics,using FEM and NEWMARK implicit algorithm,an elastic-plastic numerical analysis was made to analyze the response magnified area of the vibration isolation construction of open trenches for the vibration induced by vehicle dynamic loads.In order to reduce the effect of wave reflecting on artificial boundaries,transmitting boundary and semi-infinite elements were respectively used to treat the lateral and underside boundaries.The position,depth and the width of open trenches were the three mainly considered factors.Finally,on the basis of the numerical calculation results,their effects laws were analyzed.
引文
[1]张雪亮,黄树棠,等.爆破地震效应[M].北京:地震出版社,1981:1–2.(ZHANG Xue-liang,HUANG Shu-chang.Vibration effect of explode[M].Beijing:Earthquake Press,1981:1–2.)
[2]WOODS R D.Screening of surface waves in soils[J].J Soil Mech Found Div,1968,94:951–979.
[3]BESKOS D E,DASGUPTA B,VARDOULAKIS I G.Vibration isolation using open or filled trenches.Part 1:2-D homogeneous soil[J].Comput Mech,1986,1(1):43–63.
[4]DASGUPTA B,BESKOS D E,VARDOULAKIS I G.Vibration isolation using open or in-filled trenches.Part 2:3-D homogeneous soil[J].Comput Mech,1990,6:129–142.
[5]SCHMID G,CHOU W N,LE R.Shielding of structures from soil vibrations[C]//Soil Dynamic and Earthquake Engineering V,Proc Int Conf on Soil Dynamics and Earthquake Engineering.Southampton:Computational Mechanics Publications,1991:651–662.
[6]ANTES H,VON Estorff O.Dynamic response of 2D and 3D block foundations on a halfspace with inclusions[J].Soil Dyn Earthquake Eng,1994,13:305–311.
[7]TAKEMIYA H,FUJIWARA A.Wave propagation/impedimentin a stratum and wave impeding block(WIB)measured for SSI response reduction[J].Soil Dyn Earthquake Eng,1994,13:49–61.
[8]AHMAD S,AL-HUSSAINI T M,FISHMAN K L.Investigationon active isolation of machine foundations by open trenches[J].J Geotech Eng,1996,122(6):454–461.
[9]AL-HUSSAINI T M,AHMAD S.Active isolation of machine foundations by in-filled trench barriers[J].J Geotech Eng,1996,122(4):288–294.
[10]YANG Y B,HUNG H H.A parametric study of wave barriersfor reduction of train-induced vibrations[J].Int J Numer Methods Eng,1997,40;3729–3747.
[11]YANG Y B,KUO S R,HUNG H H.Frequency independent infinite element for analyzing semi-infinite problems[J].Int J Numer Methods Eng,1996,39:3553–3569.
[12]YANG Y B,HUNG H H.A parametric study of wave barriers for reduction of train-induced vibrations[J].Int J Numer Methods Eng,1997,40:3729–3747.
[13]YANG Y B,HUNG H H.A 2.5D finite/infinite element approach for modelling visco-elastic body subjected to moving loads[J].Int J Numer Methods Eng,2001,51:1317–1336.
[14]KAYNIA A M,MADSHUS C,ZACKRISSON P.Ground vibration from high-speed trains:prediction and countermeasure[J].J Geotech Geoenviron Eng,2000,126(6):531–537.
[15]JU S H.Finite element analyses of wave propagations due to high-speed train across bridges[J].Int J Numer Meth Eng,2002,54:1391–1408.
[16]HUNG H H,YANG Y B,CHANG D W.Wave barriers for Reduction of train-Induced vibrations in soils[J].Journal of Geotechnical and Geoenvironmental Engineering,ASCE,2004,130(12):1283–1291.
[17]娄建武,龙源,等.爆炸波传播的沟槽效应及分析[J].矿冶工程,2004,24(1):11–16.(LOU Jian-wu,LONG Yuan,et al.Damping ditch effect in propagation of blasting seismic wave and its analysis[J].Mining and Metallurgical Engineering,2004,24(1):11–16.)
[18]陈云敏,凌道盛,周承涛.打桩振动近场波动的数值分析和实测比较[J].振动工程学报,2002,15(2):178–184.(CHEN Yun-min,LING Dao-sheng,ZHOU Cheng-tao.Numerical analysis and test of pile driving vibration[J].Journal of Vibration Engineering,2002,15(2):178–184.)
[19]蔡袁强,王大力,等.强夯加固机理及其环境影响的数值分析[J].岩土力学,2005,26(增):159–162.(CAI Yuan-qiang,WANG Da-li,et al.Numerical analysis of dynamic compaction and environmental effect caused by compaction vibration[J].Rock and Soil Mechanics,2005,26(S):159–162.)
[20]刘奉喜,刘建坤,等.多年冻土区铁路隔振沟隔振效果的数值分析[J].中国铁道科学,2003,24(5):48–51.(LIU Feng-xi,LIU Jian-kun,et al.Numerical analysis of the vibration isolation effect of the railway vibration isolating cutting in permafrost[J].China Railway Science,2003,24(5):48–51.)
[21]赵荣欣,谢永利,等.泡沫塑料–水泥土充填沟隔振性状研究[J].西安公路交通大学学报,1998,18(1):38–42.(ZHAO Rong-xin,XIE Yong-li,et al.Behavior analysis of isolation trenches filled by foamed plastic&cement clay[J].Journal of Xi'an Highway University,1998,18(1):38–42.)
[22]郭学彬,肖正学,等.爆破地震作用的沟槽效应[J].爆破器材,1999,28(3):4–7.(GUO Xue-bin,XIAO Zheng-xue,et al.Channel effect of blasting vibration[J].Explosive Materials,1999,28(3):4–7.)
[23]WHITE Weeks,VALLIAPPAN Somasundaram,LEE K.Unified boundary for finite dynamic models.Journal of the Engi-neering Mechanics Division,ASCE,1977;103(EM5):949–964.
[24]DEGRANDE D,DE Roeck G.An absorbing boundary condition for wave propagation in saturated poroelastic mediapart I:formulation and efficiency evaluation[J].Soil Dynamic and Earthquake Engineering,1993;(12):411–421.
[25]LYSMER J,WASS G.Shear walls in plane infinite structures[J].J Eng Mech Div,ASCE,1972;98(EM 1):85–105.
[26]廖振鹏.近场波动问题的有限元解法[J].地震工程与工程振动,1984,4(2):1–14.(LIAO Zhen-peng.Finite element method of near-field wave motion[J].Earthquake Engineering and Engineering Vibration,1984,4(2):1–14.)
[27]张楚汉,赵崇斌.复杂地基中波动问题和数值模拟[J].土木工程学报,1987,20(4):83–96.(ZHANG Chu-han,ZHAO Chong-bing.Numerical analysis of wave motion in complex soils[J].China Civil Engineering Journal,1987,20(4):83–96.)
[28]王勖成,邵敏.有限单元法基本原理和数值方法[M].北京:清华大学出版社,1997:443–452.(WANG Xu-cheng,SHAO Min.Basic principles and numerical methods of finite element method[M].Beijing:Qinghua University Press,1997:443–452.)
[29]吴世明.土介质中的波[M].北京:科学出版社,1997:216–233.(WU Shi-ming.Wave propagation in soils[M].Beijing:Science Press,1997:216–233.)
[30]邓亚虹.车辆动荷载作用下路基下伏黄土暗穴稳定性分析[D].西安:长安大学,2004:28–43.(DENG Ya-hong.Numerical analysis of pavement's stability influenced by hidden holes in loess under dynamic load vehicles[D].Xi'an:Chang'an University,2004:28–43.)
[2]WOODS R D.Screening of surface waves in soils[J].J Soil Mech Found Div,1968,94:951–979.
[3]BESKOS D E,DASGUPTA B,VARDOULAKIS I G.Vibration isolation using open or filled trenches.Part 1:2-D homogeneous soil[J].Comput Mech,1986,1(1):43–63.
[4]DASGUPTA B,BESKOS D E,VARDOULAKIS I G.Vibration isolation using open or in-filled trenches.Part 2:3-D homogeneous soil[J].Comput Mech,1990,6:129–142.
[5]SCHMID G,CHOU W N,LE R.Shielding of structures from soil vibrations[C]//Soil Dynamic and Earthquake Engineering V,Proc Int Conf on Soil Dynamics and Earthquake Engineering.Southampton:Computational Mechanics Publications,1991:651–662.
[6]ANTES H,VON Estorff O.Dynamic response of 2D and 3D block foundations on a halfspace with inclusions[J].Soil Dyn Earthquake Eng,1994,13:305–311.
[7]TAKEMIYA H,FUJIWARA A.Wave propagation/impedimentin a stratum and wave impeding block(WIB)measured for SSI response reduction[J].Soil Dyn Earthquake Eng,1994,13:49–61.
[8]AHMAD S,AL-HUSSAINI T M,FISHMAN K L.Investigationon active isolation of machine foundations by open trenches[J].J Geotech Eng,1996,122(6):454–461.
[9]AL-HUSSAINI T M,AHMAD S.Active isolation of machine foundations by in-filled trench barriers[J].J Geotech Eng,1996,122(4):288–294.
[10]YANG Y B,HUNG H H.A parametric study of wave barriersfor reduction of train-induced vibrations[J].Int J Numer Methods Eng,1997,40;3729–3747.
[11]YANG Y B,KUO S R,HUNG H H.Frequency independent infinite element for analyzing semi-infinite problems[J].Int J Numer Methods Eng,1996,39:3553–3569.
[12]YANG Y B,HUNG H H.A parametric study of wave barriers for reduction of train-induced vibrations[J].Int J Numer Methods Eng,1997,40:3729–3747.
[13]YANG Y B,HUNG H H.A 2.5D finite/infinite element approach for modelling visco-elastic body subjected to moving loads[J].Int J Numer Methods Eng,2001,51:1317–1336.
[14]KAYNIA A M,MADSHUS C,ZACKRISSON P.Ground vibration from high-speed trains:prediction and countermeasure[J].J Geotech Geoenviron Eng,2000,126(6):531–537.
[15]JU S H.Finite element analyses of wave propagations due to high-speed train across bridges[J].Int J Numer Meth Eng,2002,54:1391–1408.
[16]HUNG H H,YANG Y B,CHANG D W.Wave barriers for Reduction of train-Induced vibrations in soils[J].Journal of Geotechnical and Geoenvironmental Engineering,ASCE,2004,130(12):1283–1291.
[17]娄建武,龙源,等.爆炸波传播的沟槽效应及分析[J].矿冶工程,2004,24(1):11–16.(LOU Jian-wu,LONG Yuan,et al.Damping ditch effect in propagation of blasting seismic wave and its analysis[J].Mining and Metallurgical Engineering,2004,24(1):11–16.)
[18]陈云敏,凌道盛,周承涛.打桩振动近场波动的数值分析和实测比较[J].振动工程学报,2002,15(2):178–184.(CHEN Yun-min,LING Dao-sheng,ZHOU Cheng-tao.Numerical analysis and test of pile driving vibration[J].Journal of Vibration Engineering,2002,15(2):178–184.)
[19]蔡袁强,王大力,等.强夯加固机理及其环境影响的数值分析[J].岩土力学,2005,26(增):159–162.(CAI Yuan-qiang,WANG Da-li,et al.Numerical analysis of dynamic compaction and environmental effect caused by compaction vibration[J].Rock and Soil Mechanics,2005,26(S):159–162.)
[20]刘奉喜,刘建坤,等.多年冻土区铁路隔振沟隔振效果的数值分析[J].中国铁道科学,2003,24(5):48–51.(LIU Feng-xi,LIU Jian-kun,et al.Numerical analysis of the vibration isolation effect of the railway vibration isolating cutting in permafrost[J].China Railway Science,2003,24(5):48–51.)
[21]赵荣欣,谢永利,等.泡沫塑料–水泥土充填沟隔振性状研究[J].西安公路交通大学学报,1998,18(1):38–42.(ZHAO Rong-xin,XIE Yong-li,et al.Behavior analysis of isolation trenches filled by foamed plastic&cement clay[J].Journal of Xi'an Highway University,1998,18(1):38–42.)
[22]郭学彬,肖正学,等.爆破地震作用的沟槽效应[J].爆破器材,1999,28(3):4–7.(GUO Xue-bin,XIAO Zheng-xue,et al.Channel effect of blasting vibration[J].Explosive Materials,1999,28(3):4–7.)
[23]WHITE Weeks,VALLIAPPAN Somasundaram,LEE K.Unified boundary for finite dynamic models.Journal of the Engi-neering Mechanics Division,ASCE,1977;103(EM5):949–964.
[24]DEGRANDE D,DE Roeck G.An absorbing boundary condition for wave propagation in saturated poroelastic mediapart I:formulation and efficiency evaluation[J].Soil Dynamic and Earthquake Engineering,1993;(12):411–421.
[25]LYSMER J,WASS G.Shear walls in plane infinite structures[J].J Eng Mech Div,ASCE,1972;98(EM 1):85–105.
[26]廖振鹏.近场波动问题的有限元解法[J].地震工程与工程振动,1984,4(2):1–14.(LIAO Zhen-peng.Finite element method of near-field wave motion[J].Earthquake Engineering and Engineering Vibration,1984,4(2):1–14.)
[27]张楚汉,赵崇斌.复杂地基中波动问题和数值模拟[J].土木工程学报,1987,20(4):83–96.(ZHANG Chu-han,ZHAO Chong-bing.Numerical analysis of wave motion in complex soils[J].China Civil Engineering Journal,1987,20(4):83–96.)
[28]王勖成,邵敏.有限单元法基本原理和数值方法[M].北京:清华大学出版社,1997:443–452.(WANG Xu-cheng,SHAO Min.Basic principles and numerical methods of finite element method[M].Beijing:Qinghua University Press,1997:443–452.)
[29]吴世明.土介质中的波[M].北京:科学出版社,1997:216–233.(WU Shi-ming.Wave propagation in soils[M].Beijing:Science Press,1997:216–233.)
[30]邓亚虹.车辆动荷载作用下路基下伏黄土暗穴稳定性分析[D].西安:长安大学,2004:28–43.(DENG Ya-hong.Numerical analysis of pavement's stability influenced by hidden holes in loess under dynamic load vehicles[D].Xi'an:Chang'an University,2004:28–43.)
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