基于SIMULINK的高填方加筋路堤地震反应分析
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摘要
为研究高填方加筋路堤的地震反应,将其简化为一个多质点体系,考虑加筋对路堤抗侧刚度的影响及筋材与土体间的摩擦力,推导水平地震作用下加筋路堤的动力方程,然后,将动力方程所代表的动力学系统用状态空间法予以描述,根据其状态方程在SIMULINK环境下建立仿真分析模型,从而求解动力方程,获得高填方加筋路堤的地震反应结果。并将此仿真模型运用于分析某一铁路路基加筋土挡墙的地震反应,分析结果与FLAC2D计算值进行对比。研究结果表明:该方法简单实用,求解精度较高,模型中的力学参数可以通过常规土工试验获得,可应用于实际工程地震反应预测;加筋对水平地震作用下堤顶加速度放大作用有明显的抑制效果;加筋后路堤水平地震位移明显减小。
In order to study seismic response of high-filled reinforced embankment,the embankment was simplified as a multi-mass system,and its dynamic equation under horizontal seismic was deduced considering the effects of reinforcements on soil lateral stiffness and reinforcement-soil friction.The dynamic system represented by the dynamic equation was expressed using the state space method.According to the state equation,a numerical simulation model was established using SIMULINK so that the dynamic response can be obtained.This proposed model was applied to simulate the seismic response of a railway embankment,and the analysis results were compared with those by FLAC2D.The results show that this method is simple and practical,and the parameters in this model can be obtained by general geotechnical experiments,so it can be used in actual seismic engineering.Reinforcements in soil can significantly reduce acceleration amplification effect and horizontal displacement at the top of the embankment due to the horizontal seismic input.
In order to study seismic response of high-filled reinforced embankment,the embankment was simplified as a multi-mass system,and its dynamic equation under horizontal seismic was deduced considering the effects of reinforcements on soil lateral stiffness and reinforcement-soil friction.The dynamic system represented by the dynamic equation was expressed using the state space method.According to the state equation,a numerical simulation model was established using SIMULINK so that the dynamic response can be obtained.This proposed model was applied to simulate the seismic response of a railway embankment,and the analysis results were compared with those by FLAC2D.The results show that this method is simple and practical,and the parameters in this model can be obtained by general geotechnical experiments,so it can be used in actual seismic engineering.Reinforcements in soil can significantly reduce acceleration amplification effect and horizontal displacement at the top of the embankment due to the horizontal seismic input.
引文
[1]谢婉丽.黄土地区高填方加筋土路堤变形与稳定性研究[D].西安:西北大学地质学院,2004:7-9.XIE Wan-li.Deformation and stability analysis of reinforced high embankment in the loess region[D].Xi’an:Northwest University.Department of Geology,2004:7-9.
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[14]杨果林,肖宏彬,王永和.加筋土挡墙动变形特性试验与疲劳损伤分析[J].振动工程学报,2008,15(2):173-177.YANG Guo-lin,XIAO Hong-bin,WANG Yong-he.Experiment dynamic behaviour and analysis of fatigue damnify of reinforced earth wall[J].Journal of Vibration Engineering,2008,15(2):173-177.
[15]Sabermahani M,Ghalandarzadeh A,Fakher A.Experimental study on seismic deformation modes of reinforced-soil walls[J].Geotextiles and Geomembranes,2009,27(2):121-136.
[16]Montanelli F,Moraci N.Behavior of geogrids under cyclic loads[C]//Geosynthetics’97 Conference Proceedings,Vol.2.California,USA:Industrial Fabrics Association International,1997:961-976.
[17]范影乐,杨胜天.MATLAB仿真应用详解[M].北京:人民邮电出版社,2001:69-73.FAN Ying-le,YANG Sheng-tian.MATLAB simulation and application[M].Beijing:Posts&Telecom Press,2001:69-73.
[18]Cundall P A.Theory and background-interface[M].Minneapolis:Itasca Consulting Group Inc,2000:26-33.
[2]Ling H I,Leshchinsky D,Perry E.Seismic design and performance of geosynthetic reinforced soil structures[J].Geotechnique,1997,47(5):933-952.
[3]Ling H I,Leshchinsky D.Effects of vertical acceleration on seismic design of geosynthetic reinforced soil structures[J].Geotechnique,1998,48(3):347-373.
[4]Kramer S L,Paulsen S B.Seismic performance evaluation of reinforced slopes[J].Geosynthetics International,2004,11(6):429-438.
[5]Huang C C,Wang W C.Seismic displacement charts for the performance-based assessment of reinforced soil walls[J].Geosynthetics International,2005,12(4):176-190.
[6]Michalowski R L.Soil reinforcement for seismic design of geotechnical structures[J].Computers and Geotechnics,1998,23(1):1-17.
[7]Shahgholi M,Fakher A,Jones C J F P.Horizontal slice method of analysis[J].Geotechnique,2001,51(10):881-885.
[8]Nouri H,Fakher A,Jones C J F P.Development of horizontal slice method for seismic stability analysis of reinforced slopes and walls[J].Geotextiles and Geomembranes,2006,24(5):175-187.
[9]蒋建清,杨果林.加筋土挡墙地震稳定性分析的水平条分方法[J].中国铁道科学,2009,30(1):36-40.JIANG Jian-qing,YANG Guo-lin.Horizontal slice method for analyzing the stability of the reinforced retaining wall under seismic load[J].China Railway Science,2009,30(1):36-40.
[10]Choudhury D,Nimbalkar S S.Seismic passive resistance by pseudo-dynamic method[J].Geotechnique,2005,55(9):699-702.
[11]Choudhury D,Nimbalkar S S.Pseudo-dynamic approach of seismic active earth pressure behind retaining wall[J].Geotechnical and Geological Engineering,2006,24(5):1103-1113.
[12]Nimbalkar S S,Choudhury D,Mandal J N.Seismic stability of renforced-soil wall by pseudo-dynamic method[J].Geosynthetics International,2006,13(3):111-119.
[13]Ling H I,Mohri Y,Leshchinsky D,et al.Large-scale shaking table tests on modular-block reinforced soil retaining walls[J].Journal of Geotechnical and Geoenvironmental Engineering,2005,131(4):465-476.
[14]杨果林,肖宏彬,王永和.加筋土挡墙动变形特性试验与疲劳损伤分析[J].振动工程学报,2008,15(2):173-177.YANG Guo-lin,XIAO Hong-bin,WANG Yong-he.Experiment dynamic behaviour and analysis of fatigue damnify of reinforced earth wall[J].Journal of Vibration Engineering,2008,15(2):173-177.
[15]Sabermahani M,Ghalandarzadeh A,Fakher A.Experimental study on seismic deformation modes of reinforced-soil walls[J].Geotextiles and Geomembranes,2009,27(2):121-136.
[16]Montanelli F,Moraci N.Behavior of geogrids under cyclic loads[C]//Geosynthetics’97 Conference Proceedings,Vol.2.California,USA:Industrial Fabrics Association International,1997:961-976.
[17]范影乐,杨胜天.MATLAB仿真应用详解[M].北京:人民邮电出版社,2001:69-73.FAN Ying-le,YANG Sheng-tian.MATLAB simulation and application[M].Beijing:Posts&Telecom Press,2001:69-73.
[18]Cundall P A.Theory and background-interface[M].Minneapolis:Itasca Consulting Group Inc,2000:26-33.
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