基于双层Euler梁理论的土工格室加筋体变形计算
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摘要
针对路堤工程中车辆荷载直接作用于路面板,再经路堤填土传递作用于土工格室加筋垫层的荷载传递实际,并考虑路堤填土刚度、地基土的排水固结效应对土工格室加筋体受力变形的影响,将土工格室加筋体视为置于Kelvin地基上的下梁、路面板视为置于Winkler地基上的上梁,基于双层Euler梁理论,建立考虑路面板-路堤-土工格室加筋垫层-地基土相互作用的上下梁挠曲变形微分方程并求解.将本文解答所得格室加筋体内力位移与传统弹性地基梁法计算结果进行比较,两者吻合良好.在此基础上,分析了格室体刚度、路堤填土刚度、地基反力系数、地基土固结度等因素对路面板及格室体挠曲变形的影响.结果表明:路面板及格室加筋垫层的挠曲变形会随着格室体刚度的增大及地基反力系数的增大而减小,随地基土固结度的增大而增大;此外,路堤填土刚度增大会减小路面板的挠曲变形但会增大格室加筋垫层的挠曲变形.
For an embankment engineering,vehicle loads act on the pavement faceplate directly and then affect geocell reinforcement through the embankment fill.Considering this load transfer mechanism,and the effect of embankment fill stiffness and consolidation of soft soil,ageocell reinforced subgrade was regarded as a lower beam placed on Kelvin foundation and the pavement facelate was regarded as a upper beam placed on Winkler foundation.On the basis of the double-Euler-beam theory,a deformation control differential equation of geocell reinforcement and its solutions were proposed by taking into account the effect of the interaction among the pavement faceplate embankment fill,geocell reinforcement,and foundation soil.There is a good agreement when internal force and displacement calculated by the method in this paper are compared with internal force and displacement calculated by traditional method for elastic foundation beam.On this basis,the factors influencing the stress-deformation characteristics of the geocell reinforcement such as stiffness of geocell reinforcement,stiffness of embankment fill,coefficient of subgrade reaction force and the degree of consolidation of foundation soil,were discussed.The results show that flexural deformations of both pavement and geocell reinforcement reduce with the increment of stiffness of geocell reinforcement and the increment of coefficient of subgrade reaction force.And the deformations increase with the development of the consolidation of foundation soil.In addition,with higher embankment fill stiffness,the deformation of the pavement is smaller,while the deformation of geocell reinforcement is larger.
For an embankment engineering,vehicle loads act on the pavement faceplate directly and then affect geocell reinforcement through the embankment fill.Considering this load transfer mechanism,and the effect of embankment fill stiffness and consolidation of soft soil,ageocell reinforced subgrade was regarded as a lower beam placed on Kelvin foundation and the pavement facelate was regarded as a upper beam placed on Winkler foundation.On the basis of the double-Euler-beam theory,a deformation control differential equation of geocell reinforcement and its solutions were proposed by taking into account the effect of the interaction among the pavement faceplate embankment fill,geocell reinforcement,and foundation soil.There is a good agreement when internal force and displacement calculated by the method in this paper are compared with internal force and displacement calculated by traditional method for elastic foundation beam.On this basis,the factors influencing the stress-deformation characteristics of the geocell reinforcement such as stiffness of geocell reinforcement,stiffness of embankment fill,coefficient of subgrade reaction force and the degree of consolidation of foundation soil,were discussed.The results show that flexural deformations of both pavement and geocell reinforcement reduce with the increment of stiffness of geocell reinforcement and the increment of coefficient of subgrade reaction force.And the deformations increase with the development of the consolidation of foundation soil.In addition,with higher embankment fill stiffness,the deformation of the pavement is smaller,while the deformation of geocell reinforcement is larger.
引文
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[11]边学成,宋广,陈云敏.Pasternak地基中土工格室加筋体的受力变形分析[J].工程力学,2012,29(5):147-155.BIAN Xuecheng,SONG Guang,CHEN Yunmin.Deformation behaviors of geocell reinforcement in Pasternak ground[J].Engineering Mechanics,2012,29(5):147-155.(In Chinese)
[12]钱家欢,殷宗泽.土工原理与计算[M].北京:中国水利水电出版社,1996:414-417.QIAN Jiahuan,YIN Zongze.Principle and calculations of civil engineering[M].Beijing:China Water and Power Press,1996:414-417.(In Chinese)
[13]龙驭球.弹性地基梁的计算[M].北京:人民教育出版社,1981:6-12.LONG Yuqiu.Calculation of the elastic foundation beam[M].Beijing:People’s Education Press,1981:6-12.(In Chinese)
[2]李力,傅舰锋.土工格室作用机理与应用研究现状[J].山西交通科技,2003(S1):63-65.LI Li,FU Jianfeng.The reinforcement mechanism and status in applicationand study of geocell[J].Shanxi Science and Technology of Communications,2003(S1):63-65.(In Chinese)
[3]张胜,赵华宏.土工格室在软土地基处理中的应用与研究[J].公路交通科技,2004,21(4):37―39,46.ZHANG Sheng,ZHAO Huahong.Study on application of cellular geogrid system in soft ground treatment[J].Journal of Highway and Transportation Research and Development,2004,21(4):37―39,46.(In Chinese)
[4]郭庆淀,顾跃强,张立杰.高强土工格室在高速公路路基施工中的应用[J].山西建筑,2009,35(4):298-299.GUO Qingdian,GU Yueqiang,ZHANG Lijie.The high intensity geogrid application in express highway foundation construction[J].ShanXi Architecture,2009,35(4):298-299.(In Chinese)
[5]宗军良.土工格室加筋路基作用机理与应用技术探讨[J].路基工程,2011(3):107-109.ZONG Junliang.Discussion on action mechanism and application technology of geogrid reinforced subgrade[J].Subgrade Engineering,2011(3):107-109.(In Chinese)
[6]杜勇立,高礼,杨果林.不同掺土量加筋煤矸石的界面摩擦试验研究[J].湖南大学学报:自然科学版,2014,41(4):54-60.DU Yongli,GAO Li,YANG Guolin.Experimental study of the interface friction characteristics between coal gangue and reinforcement with different qualities of soil[J].Journal of Hunan University:Natural Sciences,2014,41(4):54-60.(In Chinese)
[7]蒋德松,蒋冲.城市岩质边坡土工格室生态防护技术及其应用[J].湖南大学学报:自然科学版,2008,35(11):12-16.JIANG Desong,JIANG Chong.Geotechnical grid bio-engineering protection of the rockmass slope in the city and its application[J].Journal of Hunan University:Natural Sciences,2008,35(11):12-16.(In Chinese)
[8]赵明华,张玲,马缤辉,等.考虑水平摩阻效应的土工格室加筋体受力分析[J].工程力学,2010,27(3):38-44.ZHAO Minghua,ZHANG Ling,MA Binhui,et al.Force analysis of geocell reinforcement with consideration of horizontal resistance effect[J].Engineering Mechanics,2010,27(3):38-44.(In Chinese)
[9]赵明华,张玲,曹文贵,等.基于弹性地基梁理论的土工格室加筋体变形分析[J].岩土力学,2009,30(12):3695-3699.ZHAO Minghua,ZHANG Ling,CAO Wengui,et al.Deformation analysis of geocell reinforcement based on theory for beam on elastic foundation[J].Rock and Soil Mechanics,2009,30(12):3695-3699.(In Chinese)
[10]张福海,俞仲泉.平面应变条件下土工格室加筋垫层的变形分析[J].岩土力学,2005(S1):245-247.ZHANG Fuhai,YU Zhongquan.Analysis of deformation of geocell reinforced mat under plane strain condition[J].Rock and Soil Mechanics,2005(S1):245-247.(In Chinese)
[11]边学成,宋广,陈云敏.Pasternak地基中土工格室加筋体的受力变形分析[J].工程力学,2012,29(5):147-155.BIAN Xuecheng,SONG Guang,CHEN Yunmin.Deformation behaviors of geocell reinforcement in Pasternak ground[J].Engineering Mechanics,2012,29(5):147-155.(In Chinese)
[12]钱家欢,殷宗泽.土工原理与计算[M].北京:中国水利水电出版社,1996:414-417.QIAN Jiahuan,YIN Zongze.Principle and calculations of civil engineering[M].Beijing:China Water and Power Press,1996:414-417.(In Chinese)
[13]龙驭球.弹性地基梁的计算[M].北京:人民教育出版社,1981:6-12.LONG Yuqiu.Calculation of the elastic foundation beam[M].Beijing:People’s Education Press,1981:6-12.(In Chinese)