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System reliability analysis of seismic pseudo-static stability of rock wedge based on nonlinear Barton—Bandis criterion

基于非线性B−B 准则的三维楔体地震拟静力可靠度分析

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Abstract

Based on the nonlinear Barton-Bandis (B–B) failure criterion, this study considers the system reliability of rock wedge stability under the pseudo-static seismic load. The failure probability (Pf) of the system is calculated based on the Monte–Carlo method when considering parameter correlation and variability. Parameter analysis and sensitivity analysis are carried out to explore the influence of parameters on reliability. The relationships among the failure probability, safety factor (Fs), and variation coefficient are explored, and then stability probability curves of the rock wedge under the pseudo-static seismic load are drawn. The results show that the parameter correlation of the B–B failure criterion has a significant influence on the failure probability, but correlation increases system reliability or decreases system reliability affected by other parameters. Under the pseudo-static seismic action, sliding on both planes is the main failure mode of wedge system. In addition, the parameters with relatively high sensitivity are two angles related to the joint dip. When the coefficient of variation is consistent, the probability of system failure is a function of the safety factor.

摘要

本文基于非线性Barton−Bandis(B-B)破坏准则, 对地震拟静力作用下三维楔体的系统可靠度展 开研究。基于蒙特卡洛算法考虑参数相关性与变异性计算系统可靠度, 将计算结果与SWEDGE 软件 计算结果对比, 验证该方法的准确性与适用性。通过开展参数分析讨论各参数变化对系统可靠度的影 响规律。探究失效概率、安全系数与变异系数三者相互关系, 并绘制地震荷载作用下岩质楔体的稳定 概率曲线。研究表明: B−B 破坏准则参数相关性对失效概率的影响较大, 但相关性对系统可靠度的增 加或减小效应受其他参数取值影响; 在地震力作用下, 沿两不连续面发生破坏的概率对系统失效概率 贡献最大, 另外三种破坏模式的失效概率对系统失效概率贡献相对较小; 随着地震拟静力方向的变化 各参数的敏感性系数均处于波动状态, 相对敏感性较高的参数是与节理面走向相关的参数θ1 和θ2; 系 统的失效概率是安全系数的大小与其变异系数的函数。

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Authors and Affiliations

  1. School of Civil Engineering, Central South University, Changsha, 410075, China

    Lian-heng Zhao  (赵炼恒), Kang-fu Jiao  (焦康甫) & Shi Zuo  (左仕)

  2. Key Laboratory of Heavy-Haul Railway Engineering Structure (Ministry of Education), Central South University, Changsha, 410075, China

    Lian-heng Zhao  (赵炼恒)

  3. School of Civil Engineering, Southwest Jiaotong University, Chengdu, 610031, China

    De-jian Li  (李得建)

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  1. Lian-heng Zhao  (赵炼恒)
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  2. Kang-fu Jiao  (焦康甫)
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  3. De-jian Li  (李得建)
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  4. Shi Zuo  (左仕)
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Contributions

ZHAO Lian-heng provided the concept and supplied financial support for the whole study. JIAO Kang-fu edited the draft of manuscript and completed the experiment. LI De-jian provided directional guidance. ZUO Shi edited the pictures and examined the manuscript.

Corresponding author

Correspondence to De-jian Li  (李得建).

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Conflict of interest

ZHAO Lian-heng, JIAO Kang-fu, LI De-jian and ZUO Shi declare that they have no conflict of interest.

Foundation item

Project(51878668) supported by the National Natural Science Foundation of China; Projects(2017-122-058, 2018-123-040) supported by the Guizhou Provincial Department of Transportation Foundation, China; Project([2018]2815) supported by the Guizhou Provincial Department of Science and Technology Foundation, China

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Zhao, Lh., Jiao, Kf., Li, Dj. et al. System reliability analysis of seismic pseudo-static stability of rock wedge based on nonlinear Barton—Bandis criterion. J. Cent. South Univ. 27, 3450–3463 (2020). https://doi.org/10.1007/s11771-020-4558-9

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