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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.
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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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