水平地震下框架锚杆支护边坡简化分析方法
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摘要
依据框架锚杆支护体系的作用机理,在建立分析模型时分为2步,即把框架锚杆支护边坡结构体系分为动土压力模型和框架锚杆支挡结构动力模型2部分。一是考虑坡高对动土压力分布的影响,认为地震时作用在支挡结构上的土压力,在支挡结构顶部最大,向下逐渐减小,呈倒三角形分布。二是基于Penzien提出的集中质量法,将框架结构离散化为质点串,而锚杆以弹簧支座形式将框架与土体进行连接,取一榀框架柱为计算单元,建立相应的动力模型控制方程,通过振型分析建立振型方程,并求解振型反应。通过对动土压力的求解和框架结构振型反应的分析,可以得到框架各结点处的支座反力,从而为框架锚杆支护边坡的抗震设计提供一定的依据。
According to the working mechanism of a supporting system with frame-anchors,its analysis model is divided into two phases,namely the dynamic soil pressure model and dynamic frame-anchors model.Firstly,the influence of slope height on seismic soil pressure distribution is considered.The soil pressure acting on the supporting structure is regarded as inverse triangles on the condition of earthquake.The maximum pressure locates at the top of the wall and decreases gradually from top to bottom.The frame-anchors analysis model consists of a set of discrete lumped masses based on the concentrated mass method proposed by Penzien.The frame structure and soil are connected by anchors with spring supports.The corresponding control equation of motion is established by taking the frame-columns as a calculating unit.The modal equation is established and modal response is solved through modal analysis.The support reaction of each node can be obtained based on the solution of dynamic soil pressure and the analysis of modal response.The results of dynamic soil pressure and modal response can provide a reference for the seismic design of slope supported with frame-anchors.
According to the working mechanism of a supporting system with frame-anchors,its analysis model is divided into two phases,namely the dynamic soil pressure model and dynamic frame-anchors model.Firstly,the influence of slope height on seismic soil pressure distribution is considered.The soil pressure acting on the supporting structure is regarded as inverse triangles on the condition of earthquake.The maximum pressure locates at the top of the wall and decreases gradually from top to bottom.The frame-anchors analysis model consists of a set of discrete lumped masses based on the concentrated mass method proposed by Penzien.The frame structure and soil are connected by anchors with spring supports.The corresponding control equation of motion is established by taking the frame-columns as a calculating unit.The modal equation is established and modal response is solved through modal analysis.The support reaction of each node can be obtained based on the solution of dynamic soil pressure and the analysis of modal response.The results of dynamic soil pressure and modal response can provide a reference for the seismic design of slope supported with frame-anchors.
引文
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[2]董建华.地震作用下土钉支护边坡动力分析与抗震设计方法研究[D].兰州:兰州理工大学,2008.Dong Jianhua.Study on dynamic analysis and seismic design of slope protected by soil nailing retaining wall under earthquake[D].Lanzhou:Lanzhou University of Technology,2008.(in Chinese)
[3]Collin J G,Chouery-Curtis V E,Berg R R.Field observations of reinforced soil structures under seismic loading[C]//Ochiai,Hayashi,Otani eds.Proceedings of the Int.Symp.on Earth Reinforcement Practice.Balkema,Rotterdam,The Netherlands:[s.n.],1992:223―228.
[4]Hanna S,Juran I,Levy O.Recent developments in soil nailing-design and practice[J].Journal of Engineering and Applied Science,1998,81:259―284.
[5]朱彦鹏,罗晓辉,周勇.支挡结构设计[M].北京:高等教育出版社,2008.Zhu Yanpeng,Luo Xiaohui,Zhou Yong.Retaining structure design[M].Beijing:Higher Education Press,2008.(in Chinese)
[6]朱彦鹏,王秀丽,周勇.支挡结构设计计算手册[M].北京:中国建筑工业出版社,2008.Zhu Yanpeng,Wang Xiuli,Zhou Yong.Retaining structure design and calculating instructions[M].Beijing:China Architecture&Building Press,2008.(in Chinese)
[7]周勇,朱彦鹏.黄土地区框架预应力锚杆支护结构设计参数的灵敏度分析[J].岩石力学与工程学报,2006,25(增1):3115―3122.Zhou Yong,Zhu Yanpeng.Sensitivity analysis of design parameters of grillage supporting structure with prestressed anchor in loess slope[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(Supp.1):3115―3122.(in Chinese)
[8]朱彦鹏,郑善义,张鸿,等.黄土边坡框架预应力锚杆支挡结构的设计研究[J].岩土工程学报,2006,28(增1):1582―1585.Zhu Yanpeng,Zheng Shanyi,Zhang Hong,et al.Design of frame supporting structure with pre-stressed anchor bars on loess slopes[J].Chinese Journal of Geotechnical Engineering,2006,28(Supp.1):1582―1585.(in Chinese)
[9]顾慰慈.挡土墙土压力计算手册[M].北京:中国建材工业出版社,2005.Gu Weici.Calculating instructions of retaining wall[M].Beijing:China Building Material Industry Publishing House,2005.(in Chinese)
[10]董曾南,章梓雄.非粘性流体力学[M].北京:清华大学出版社,2003.Dong Zengnan,Zhang Zixiong.Nonviscous fluid mechanics[M].Beijing:Tsinghua University Press,2003.(in Chinese)
[11]帕兹M.结构动力学理论与计算[M].北京:地震出版社,1993.Parz M.Structure dynamics theory and calculating[M].Beijing:Earthquake Press,1993.(in Chinese)
[12]董建华,朱彦鹏.地震作用下土钉支护边坡动力分析[J].重庆建筑大学学报,2008,30(6):90―95.Dong Jianhua,Zhu Yanpeng.Seismic behavior of a slope protected by a soil nailing retaining wall during an earthquake[J].Journal of Chongqing Jianzhu University,2008,30(6):90―95.(in Chinese)
[13]朱彦鹏,董建华.土钉支护边坡动动力模型的建立及地震响应分析[J].岩土力学,2010,31(4):1013―1022.Zhu Yanpeng,Dong Jianhua.Dynamic calculation model and seismic response for slope protected by soil nailing under earthquake[J].Rock and Soil Mechanics,2010,31(4):1013―1022.(in Chinese)
[14]Chopra Anil K.Dynamics of structures:Theory and application to earthquake engineering[M].Beijing:Tsinghua University Press,2009.
[15]董建华,朱彦鹏.框架锚杆支护边坡地震响应分析[J].兰州理工大学学报,2008,34(2):118―122.Dong Jianhua,Zhu Yanpeng.Analysis of response of slope supported with framed anchor to earthquake[J].Journal of Lanzhou University of Technology,2008,34(2):118―122.(in Chinese)
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