基于2.5维有限元算法的边界处理及网格划分
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摘要
由于2.5维周期化技术能有效地处理列车振动波传播模拟过程中计算尺度与计算时间的矛盾,因而国内外学者在此理论基础上将FE(有限元)和粘滞边界以及IFE(无限元)等边界处理方法进行耦合.为讨论上述算法中有限元网格划分区域及单元大小对计算精度影响,通过运用软件Matlab编制程序读取Ansys中的模型信息,并将2.5维有限元和无限元边界耦合等算法在其中得以实现.在此基础上发现在相同的网格划分条件下,采用2.5维无限元边界较粘滞阻尼边界具有更高的精度,同时通过选取不同尺寸的有限元模拟区域及最大网格大小,将计算结果与经典解析解进行比较,并对上述网格划分参数的合理选择提出了建议.
As the good performance of the calculation efficiency in the wave propagation simulation,the 2.5D finite element method(FEM) was introduced and coupled with sum of the boundary treatment methods like infinite element method(IFE).In order to analyze the influences of the FEM meshing area and element size to the simulation accuracy.Based on the 2.5D method,the FEM-IFE coupled method was fulfilled in Matlab and ANSYS platform.A comparison with the visco boundary treatment show that with the above method results of higher accuracy are ottained than that of the visco boundary.And meanwhile,the reasonable FEM modeling domain and FEM element size are proposed by comparing the simulation results with the classic analytic solution.
As the good performance of the calculation efficiency in the wave propagation simulation,the 2.5D finite element method(FEM) was introduced and coupled with sum of the boundary treatment methods like infinite element method(IFE).In order to analyze the influences of the FEM meshing area and element size to the simulation accuracy.Based on the 2.5D method,the FEM-IFE coupled method was fulfilled in Matlab and ANSYS platform.A comparison with the visco boundary treatment show that with the above method results of higher accuracy are ottained than that of the visco boundary.And meanwhile,the reasonable FEM modeling domain and FEM element size are proposed by comparing the simulation results with the classic analytic solution.
引文
[1]Hwang R N,Lysmer J.Response of buried structures totraveling waves[J].Journal of Geotechnical Engineering,ASCE,1981,107(GT2):183.
[2]Yang Y B,Hung H H.A2.5D finite/infinite element approachfor modelling visco-elastic bodies subjected to moving loads[J].International Journal for Numerical Methods in Engineering,2001,51:1317.
[3]Yang Y B,Hung H H.Chang D W.Train-induced wavepropagation in layered soils using finite/infinite elementsimulation[J].Soil Dynamic and Earthquake Engineering,2003,23(4):263.
[4]Hung H H,Yang Y B,Chang D W.Wave barriers for reductionof train-induced vibrations in soils[J].Journal of Geotech andGeoenvironment Engineering,ASCE,2004,130(12):1283.
[5]边学成,陈云敏.基于2.5维有限元方法分析列车荷载产生的地基波动[J].岩石力学与工程学报,2006,25(11):2335.BIAN Xuecheng,CHEN Yunmin.Ground vibration generatedby train moving loadings using 2.5D finite element method[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(11):2335.
[6]边学成,陈云敏,胡婷.基于2.5维有限元方法模拟高速列车荷载产生的地基振动[J].中国科学,2008,38(5):600.BIAN Xuecheng,CHEN Yunmin,HU Ting.Numericalsimulation of high-speed train induced ground vibrations using2.5D finite element approach[J].Science in China Press(G),2008,38(5):600.
[7]谢伟平,孙洪刚.地铁运行时引起的土的波动分析[J].岩石力学与工程学报,2003,22(7):1180.XIE Weiping,SUN Honggang.FEM analysis on wavepropagation in soils induced by high speed train load[J].Chinese Journal of Rock Mechanics and Engineering,2003,22(7):1180.
[8]Sheng X,Jones C J C,Thompson D J.Modelling groundvibration from railways using wave number finite-andboundary element methods[J].Proceedings of the RoyalSociety A,2005,461:2043.
[9]Gupta S,Degrande G,Lombaert G..Experimental validationof a numerical model for subway induced vibrations[J],Journal of Sound and Vibration,2009,321(3-5):786.
[10]刘卫丰,刘维宁地铁振动预测的周期性有限元-边界元耦合模型[J].振动工程学报2009,22(5):480.LIU Weifeng,LIU Wenning.A coupled periodic finite element-boundary element model for prediction of vibrations induced bymetro traffic[J].Journal of Vibration Engineering,2009,22(5):480.
[11]Yang Y B,Kuo S R,Hung H H.Frequency-independentinfinite element for analyzing semi-infinite problems[J].International Journal for Numerical Methods in Engineering,1996,39:3553.
[12]赵崇斌,张楚汉.映射动力无穷元及其特性研究[J].地震工程与工程动,1987,3(22):1.ZHAO Congbin,ZHANG Chuhan.Studies on the characteristicsof dynamic mapping infinite elements[J].Journal ofEarthquake Engineering and Engineering Vibration,1987,3(22):1.
[13]张楚汉,赵崇斌.复杂地基中波动问题的数值模拟[J].土木工程学报,1987,20(4):83.ZHANG Chuhan,ZHANG Congbin.A numerical simulation ofwave propagation for complex foundation[J].China CivilEngineering Journal,1987,20(4):83.
[14]Eason G.The stresses produced in a semi-infinite solid by amoving surface force[J].International Journal of EngineeringScience,1965,2:581.
[2]Yang Y B,Hung H H.A2.5D finite/infinite element approachfor modelling visco-elastic bodies subjected to moving loads[J].International Journal for Numerical Methods in Engineering,2001,51:1317.
[3]Yang Y B,Hung H H.Chang D W.Train-induced wavepropagation in layered soils using finite/infinite elementsimulation[J].Soil Dynamic and Earthquake Engineering,2003,23(4):263.
[4]Hung H H,Yang Y B,Chang D W.Wave barriers for reductionof train-induced vibrations in soils[J].Journal of Geotech andGeoenvironment Engineering,ASCE,2004,130(12):1283.
[5]边学成,陈云敏.基于2.5维有限元方法分析列车荷载产生的地基波动[J].岩石力学与工程学报,2006,25(11):2335.BIAN Xuecheng,CHEN Yunmin.Ground vibration generatedby train moving loadings using 2.5D finite element method[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(11):2335.
[6]边学成,陈云敏,胡婷.基于2.5维有限元方法模拟高速列车荷载产生的地基振动[J].中国科学,2008,38(5):600.BIAN Xuecheng,CHEN Yunmin,HU Ting.Numericalsimulation of high-speed train induced ground vibrations using2.5D finite element approach[J].Science in China Press(G),2008,38(5):600.
[7]谢伟平,孙洪刚.地铁运行时引起的土的波动分析[J].岩石力学与工程学报,2003,22(7):1180.XIE Weiping,SUN Honggang.FEM analysis on wavepropagation in soils induced by high speed train load[J].Chinese Journal of Rock Mechanics and Engineering,2003,22(7):1180.
[8]Sheng X,Jones C J C,Thompson D J.Modelling groundvibration from railways using wave number finite-andboundary element methods[J].Proceedings of the RoyalSociety A,2005,461:2043.
[9]Gupta S,Degrande G,Lombaert G..Experimental validationof a numerical model for subway induced vibrations[J],Journal of Sound and Vibration,2009,321(3-5):786.
[10]刘卫丰,刘维宁地铁振动预测的周期性有限元-边界元耦合模型[J].振动工程学报2009,22(5):480.LIU Weifeng,LIU Wenning.A coupled periodic finite element-boundary element model for prediction of vibrations induced bymetro traffic[J].Journal of Vibration Engineering,2009,22(5):480.
[11]Yang Y B,Kuo S R,Hung H H.Frequency-independentinfinite element for analyzing semi-infinite problems[J].International Journal for Numerical Methods in Engineering,1996,39:3553.
[12]赵崇斌,张楚汉.映射动力无穷元及其特性研究[J].地震工程与工程动,1987,3(22):1.ZHAO Congbin,ZHANG Chuhan.Studies on the characteristicsof dynamic mapping infinite elements[J].Journal ofEarthquake Engineering and Engineering Vibration,1987,3(22):1.
[13]张楚汉,赵崇斌.复杂地基中波动问题的数值模拟[J].土木工程学报,1987,20(4):83.ZHANG Chuhan,ZHANG Congbin.A numerical simulation ofwave propagation for complex foundation[J].China CivilEngineering Journal,1987,20(4):83.
[14]Eason G.The stresses produced in a semi-infinite solid by amoving surface force[J].International Journal of EngineeringScience,1965,2:581.
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