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考虑地震力方向的倾倒式危岩可靠度分析

唐红梅 舒庆江 王林峰

唐红梅, 舒庆江, 王林峰. 考虑地震力方向的倾倒式危岩可靠度分析[J]. 应用数学和力学, 2020, 41(3): 319-328. doi: 10.21656/1000-0887.400057
引用本文: 唐红梅, 舒庆江, 王林峰. 考虑地震力方向的倾倒式危岩可靠度分析[J]. 应用数学和力学, 2020, 41(3): 319-328. doi: 10.21656/1000-0887.400057
TANG Hongmei, SHU Qingjiang, WANG Linfeng. Reliability Analysis of Perilous Toppling Rock Considering Seismic Force Directions[J]. Applied Mathematics and Mechanics, 2020, 41(3): 319-328. doi: 10.21656/1000-0887.400057
Citation: TANG Hongmei, SHU Qingjiang, WANG Linfeng. Reliability Analysis of Perilous Toppling Rock Considering Seismic Force Directions[J]. Applied Mathematics and Mechanics, 2020, 41(3): 319-328. doi: 10.21656/1000-0887.400057

考虑地震力方向的倾倒式危岩可靠度分析

doi: 10.21656/1000-0887.400057
基金项目: 国家自然科学基金(51678097;51378521)
详细信息
    作者简介:

    唐红梅 (1968—),女,研究员,博士,博士生导师(通讯作者. E-mail: hmtang6778@sina.com).

  • 中图分类号: O312|O317

Reliability Analysis of Perilous Toppling Rock Considering Seismic Force Directions

Funds: The National Natural Science Foundation of China(51678097;51378521)
  • 摘要: 侧向卸荷作用导致高陡边坡发育大量危岩体,危岩体在降雨、地震作用下易发生失稳破坏,判断其失稳的概率对危岩防治具有重要意义.该文以倾倒式危岩体为例,建立了考虑地震力作用方向下最危险方向的物理力学模型,利用函数极值理论建立了最危险地震力作用方向的表达式,结合可靠度理论建立了倾倒式危岩体可靠度指标、失稳概率表达式及判断标准.通过对重庆南川金佛山危岩体案例的分析表明:工况1的最危险地震力作用方向与水平方向的偏转角θ在5°范围内,工况2的最危险地震力作用方向与水平方向的偏转角θ在10°左右;危岩体最危险作用方向不是一个固定角,其值与危岩体形态、裂隙水作用力大小、岩腔深度等有关.当主控结构面裂隙长度较小时,最危险地震力作用方向与水平夹角很小,随主控结构面裂隙长度增大,最危险地震力作用方向与水平夹角显著增大;危岩体失稳概率随主控结构面裂隙长度增加而增大,工况2较工况1增大幅度更明显.该研究成果对危岩的防灾减灾具有重要意义.
  • [1] 陈洪凯, 唐红梅, 王蓉. 三峡库区危岩稳定性计算方法及应用[J]. 岩石力学与工程学报, 2004,23(4): 614-619.(CHEN Hongkai, TANG Hongmei, WANG Rong. Calculation method of stability for unstable rock and application to the three gorges reservoir[J]. Chinese Journal of Rock Mechanics and Engineering,2004,23(4): 614-619.(in Chinese))
    [2] 黄润秋. 汶川地震地质灾害研究[M]. 北京: 科学出版社, 2009.(HUANG Runqiu. Geohazard Assessment of the Wenchuan Earthquake [M]. Beijing: Science Press, 2009.(in Chinese))
    [3] 苏天明, 张艳鸽. 风化岩腔边坡的演化与应力场分析[J]. 公路交通科技, 2013,30(7): 30-34.(SU Tianming, ZHANG Yange. Evolution of weathered slope above rock cavity and analysis of its stress field[J]. Journal of Highway and Transportation Research and Development,2013,30(7): 30-34.(in Chinese))
    [4] 王根龙, 伍法权, 祁生文. 悬臂-拉裂式崩塌破坏机制研究[J]. 岩土力学, 2012,33(S2): 269-274.(WANG Genlong, WU Faquan, QI Shengwen. Research on failure mechanisms for cantilever and tension crack-type collapse[J]. Rock and Soil Mechanics,2012,33(S2): 269-274.(in Chinese))
    [5] 陈健云, 岳红原, 徐强. 复杂环境下倾倒式危岩体的动力稳定性分析[J]. 岩石力学与工程学报, 2016,35(10): 1965-1974.(CHEN Jianyun, YUE Hongyuan, XU Qiang. Dynamic stability analysis of perilous toppling rock in complex environment[J]. Chinese Journal of Rock Mechanics and Engineering,2016,35(10): 1965-1974.(in Chinese))
    [6] 周云涛, 石胜伟, 张勇, 等. 岩腔后退近水平砂-泥岩互层危岩稳定性研究[J]. 工程地质学报, 2017,25 (5): 1220-1229.(ZHOU Yuntao, SHI Shengwei, ZHANG Yong, et al. Stability of unstable rock in nearly-horizontal sandstone-mudstone stratum due to enlarged rock-cell[J]. Journal of Engineering Geology,2017,25(5): 1220-1229.(in Chinese))
    [7] LIU C H, JAKSA M B, MEYERS A G. A transfer coefficient method for rock slope toppling[J]. Canadian Geotechnical Journal,2009,46(1): 1-9.
    [8] 陈维, 徐则民, 刘文连. 差异风化型危岩力学模型及破坏机制研究[J]. 岩土力学, 2015,36(1): 195-204.(CHEN Wei, XU Zeming, LIU Wenlian. Mechanical model and failure mechanism of unstable cantilevered rock blocks due to differential weathering[J]. Rock and Soil Mechanics,2015,36(1): 195-204.(in Chinese))
    [9] WU J H. Seismic landslide simulations in discontinuous deformation analysis[J]. Computers and Geotechnics,2010,37(5): 594-601.
    [10] 何强, 吴礼舟, 李部, 等. 拉剪倾倒型危岩失稳影响因素研究[J]. 河海大学学报(自然科学版), 2017,45(3): 235-242.(HE Qiang, WU Lizhou, LI Bu, et al. Factors of instability of toppling unstable rocks subjected to tensile and shear stresses[J]. Journal of Hohai University(Natural Sciences),2017,45(3): 235-242.(in Chinese))
    [11] 刘海军, 赵建军, 巨能攀. 考虑地震作用方向的危岩稳定性研究[J]. 水文地质工程地质, 2015,42(2): 59-63.(LIU Haijun, ZHAO Jianjun, JU Nengpan. A study of the stability of dangerous rocks considering the action direction of the seismic force[J]. Hydrogeology & Engineering Geology,2015,42(2): 59-63.(in Chinese))
    [12] 薛新华, 樊旭, 郭志元, 等. 地震荷载作用下倾倒式危岩体动力失稳机理研究[J]. 沈阳建筑大学学报(自然科学版), 2017,33(2): 73-79.(XUE Xinhua, FAN Xu, GUO Zhiyuan, et al. Dynamic stability analysis of toppling unstable rock under seismic loading[J]. Journal of Shenyang Jianzhu University(Natural Science),2017,33(2): 73-79.(in Chinese))
    [13] 张海娜, 陈从新, 郑允, 等. 地震作用下的层状岩质边坡块状-弯曲倾倒解析分析[J]. 中国公路学报, 2018,31(2): 75-86.(ZHANG Haina, CHEN Congxin, ZHENG Yun, et al. Analytical study on block-flexure toppling failure of rock slopes subjected to seismic loads[J]. China Journal of Highway and Transport,2018,31(2): 75-86.(in Chinese))
    [14] 刘才华, 陈从新. 地震作用下岩质边坡块体倾倒破坏分析[J]. 岩石力学与工程学报, 2010,29(S1): 3194-3198.(LIU Caihua, CHEN Congxin. Analysis of toppling failure of rock slopes due to earthquakes[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(S1): 3194-3198.(in Chinese))
    [15] 刘俊卿, 韩晶. 基于模糊数学理论的沥青路面结构可靠度分析[J]. 应用数学和力学, 2018,39(9): 97-106.(LIU Junqing, HAN Jing. Reliability analysis of asphalt pavement structure based on fuzzy mathematics theory[J]. Applied Mathematics and Mechanics,2018,39(9): 97-106.(in Chinese))
    [16] DUZGUN H S B, BHASIN R K. Probabilistic stability evaluation of oppstadhornet rock slope, Norway[J]. Rock Mechanics and Rock Engineering,2009,42(5): 729-749.
    [17] 靳红华, 王林峰, 杨培丰. 覆盖型岩溶塌陷的可靠性分析[J]. 铁道建筑, 2018,58(11): 112-117.(JIN Honghua, WANG Linfeng, YANG Peifeng. Reliability analysis of covered karst cave collapse[J]. Railway Engineering,2018,58(11): 112-117.(in Chinese))
    [18] 杜毅, 晏鄂川, 蔡静森, 等. 断续结构面控制的危岩稳定可靠度分析方法[J]. 哈尔滨工业大学学报, 2019,51(8): 120-127.(DU Yi, YAN Echuan, CAI Jingsen, et al. Reliability analysis method on unstable rock mass controlled by discontinuous structure[J]. Journal of Harbin Institute of Technology,2019,51(8): 120-127.(in Chinese))
    [19] 杨智翔, 裴向军, 袁进科. 基于可靠度理论对滑移式落石的稳定性及敏感性分析[J]. 科学技术与工程, 2017,17(1): 285-290.(YANG Zhixiang, PEI Xiangjun, YUAN Jinke. The reliability theory to slippage of rockfall stability and sensitivity analysis[J]. Science Technology and Engineering,2017,17(1): 285-290.(in Chinese))
    [20] 贡金鑫, 魏巍巍. 工程结构可靠性设计原理[M]. 北京: 机械工业出版社, 2007.(GONG Jinxin, WEI Weiwei. Principle of Reliability Design of Engineering Structure [M]. Beijing: Mechanical Industry Press, 2007.(in Chinese))
    [21] 张倬元, 王士天, 王兰生. 工程地质分析原理[M]. 北京: 地质出版社, 2005.(ZHANG Zhuoyuan, WANG Shitian, WANG Lansheng. Principle of Engineering Geological Analysis [M]. Beijing: Geological Publishing House, 2005.(in Chinese))
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出版历程
  • 收稿日期:  2019-02-25
  • 修回日期:  2019-04-01
  • 刊出日期:  2020-03-01

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