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加筋土挡墙地震稳定性破裂面随机搜索法

李倩 凌天清 韩林峰 张瑞刚

李倩, 凌天清, 韩林峰, 张瑞刚. 加筋土挡墙地震稳定性破裂面随机搜索法[J]. 西南交通大学学报, 2021, 56(4): 801-808. doi: 10.3969/j.issn.0258-2724.20200320
引用本文: 李倩, 凌天清, 韩林峰, 张瑞刚. 加筋土挡墙地震稳定性破裂面随机搜索法[J]. 西南交通大学学报, 2021, 56(4): 801-808. doi: 10.3969/j.issn.0258-2724.20200320
LI Qian, LING Tianqing, HAN Linfeng, ZHANG Ruigang. Random Search Method of Fracture Surface for Seismic Stability of Reinforced Retaining Wall[J]. Journal of Southwest Jiaotong University, 2021, 56(4): 801-808. doi: 10.3969/j.issn.0258-2724.20200320
Citation: LI Qian, LING Tianqing, HAN Linfeng, ZHANG Ruigang. Random Search Method of Fracture Surface for Seismic Stability of Reinforced Retaining Wall[J]. Journal of Southwest Jiaotong University, 2021, 56(4): 801-808. doi: 10.3969/j.issn.0258-2724.20200320

加筋土挡墙地震稳定性破裂面随机搜索法

doi: 10.3969/j.issn.0258-2724.20200320
基金项目: 国家自然科学基金(51479015)
详细信息
    作者简介:

    李倩(1987—),男,博士研究生,研究方向为道路防灾减灾,E-mail:liqianlove123@163.com

  • 中图分类号: TU443

Random Search Method of Fracture Surface for Seismic Stability of Reinforced Retaining Wall

  • 摘要: 为确定加筋土挡墙破裂面的位置,基于水平条分法提出了一种多线段破裂面表现形式. 将加筋土挡墙破裂面视为由多条线段组成,各条线段在一个平面内以不同的长度和角度相互连接;根据地震作用下水平土条的力学平衡条件,推导出与破裂面参数相关的筋材拉力计算式;将筋材总拉力作为目标函数,采用两层循环方式进行求解计算,外层为墙后填土水平表面破裂点位置循环,内层为随机角度循环;对比每次外层循环计算所得筋材总拉力,取最大值所对应的破裂面为所求加筋土挡墙临界破裂面. 通过算例对比验证了多线段破裂面计算方法的合理性,并对加筋土挡墙稳定性影响因素进行分析. 研究结果表明:以角度随机方式产生多线段破裂面的计算方法无需进行数学优化可得到合理结果,加筋土挡墙破裂面位置比对数螺旋破裂面更接近临空面;填土内摩擦角的增大使得筋材总拉力与筋材长度减小,能够增强加筋土挡墙的内部稳定性.

     

  • 图 1  水平条分法计算模型

    Figure 1.  Calculation model of horizontal slice method

    图 2  多线段破裂面形式

    Figure 2.  Form of polyline fracture surface

    图 3  多线段破裂面生成方法

    Figure 3.  Generation method of polylinefracture surface

    图 4  破裂面搜索计算流程

    Figure 4.  Flow chart of fracture surface search calculation

    图 5  ${{{L_{\rm{c}}}} / H}$$\varphi $ 关系的比较

    Figure 5.  Comparison of relationship between ${{{L_{\rm{c}}}} / H}$ and $\varphi $

    图 6  对数螺旋破裂面形式

    Figure 6.  Form of logarithmic spiral fracture surface

    图 7  多线段破裂面与对数螺旋破裂面位置的比较

    Figure 7.  Position comparison of polyline fracture surfaces and logarithmic spiral fracture surfaces

    图 8  $\alpha $不同时K$\varphi $的变化规律

    Figure 8.  Trend of K changing with $\varphi $ under different $\alpha $

    图 9  $\alpha $不同时${{{L_{\rm{c}}}} / H}$$\varphi $ 的变化规律

    Figure 9.  Trend of ${{{L_c}} / H}$ changing with $\varphi $ under different $\alpha $

    表  1  筋材总拉力对比

    Table  1.   Comparison of total reinforcement forces   kN/m

    ${k_{\rm{h}}}$本文方法文献[3]文献[19]文献[20]
    0 79 80 80 80
    0.1 112 96 98 107
    0.2 134 112 115 126
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出版历程
  • 收稿日期:  2020-05-25
  • 修回日期:  2020-09-24
  • 网络出版日期:  2020-09-30
  • 刊出日期:  2021-08-15

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