考虑模糊随机性的土钉加固边坡可靠度分析

房光文; 朱彦鹏; 叶帅华; 吴强

doi:10.11779/CJGE2021S1022

考虑模糊随机性的土钉加固边坡可靠度分析 English Version

房光文^{1, 2,},
朱彦鹏^{1, 2},
叶帅华^{1, 2, ,},
吴强^{1, 2}

1.
兰州理工大学土木工程学院,甘肃　兰州　730050
2.
兰州理工大学西部土木工程防灾减灾教育部工程研究中心,甘肃　兰州　730050

基金项目:

教育部长江学者和创新团队支持计划项目 IRT_17R51

国家自然科学基金项目 51978321

国家自然科学基金项目 51768040

兰州理工大学红柳优秀青年人才支持计划

详细信息

作者简介:
房光文（1996— ）,男,博士研究生,主要从事支挡结构方面的研究。E-mail：fangguangwen1996@163.com

通讯作者:
叶帅华, E-mail：yeshuaihua@163.com

中图分类号: TU476
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出版历程
- 收稿日期: 2020-12-14
- 网络出版日期: 2022-12-05
- 刊出日期: 2021-06-30

Reliability analysis of soil nailing-reinforced slopes considering fuzzy randomness

FANG Guang-wen^{1, 2,},
ZHU Yan-peng^{1, 2},
YE Shuai-hua^{1, 2, ,},
WU Qiang^{1, 2}

1.
School of Civil Engineering, Lanzhou University of Technology, Lanzhou 730050, China
2.
Western Engineering Research Center of Disaster Mitigation in Civil Engineering of Ministry of Education, Lanzhou University of Technology, Lanzhou 730050, China

摘要

摘要: 针对土钉加固边坡未考虑边坡模糊随机性问题,提出考虑土体参数模糊随机性与边坡模糊过渡区间的土钉加固边坡可靠度计算方法。将土体样本试验力学参数随机值转换为模糊随机变量；在模糊随机变量与模糊过渡区间的基础上,建立模糊随机极限状态方程；确定土体参数不同λ-截集上下限及与之对应的边坡滑裂面；推导出仅与土体参数变量相关的土钉加固边坡可靠度计算公式,得到土钉加固边坡模糊随机可靠度。最后与传统蒙特卡洛模拟法计算出的可靠度进行对比得出：应用蒙特卡洛模拟计算出的失效概率为零时,考虑边坡模糊性后边坡失效概率为5.9%,表明考虑边坡模糊性与模糊过渡区间的加固边坡可靠度分析更能反映边坡实际状态。
- 土体参数 /
- 土钉 /
- 模糊随机性 /
- 模糊过渡区间 /
- 可靠度
Abstract: With regard to the problem of no cosideration of the fuzzy randomness of slopes reinforced by soil nailing, a method for calculating the reliability of soil nailing-reinforced slopes is proposed considering the fuzzy randomness of soil parameters and the fuzzy transition interval of the slopes.Firstly, the random values of mechanical parameters for soil sample tests are converted into the fuzzy random variables.Based on the fuzzy random variables and the fuzzy transition interval, an equation for the fuzzy random limit state is established.The upper and lower limits of the λ-cut set and the corresponding slip surface of slopes are determined.Then, the formula for calculating the reliability of soil nailing-reinforced slopes only related to the soil parameter variables is derived, and the fuzzy random reliability of soil nailing-reinforced slopes is obtained.Finally, the calculated results are compared with those calculated by the traditional Monte Carlo simulation method.It is shown that the reliability analysis of reinforced slopes considering fuzzy transition interval and fuzzy randomness of soil parameters can better reflect the actual state of reinforced slopes.
- soil parameter /
- soil nailing /
- fuzzy randomness /
- fuzzy transition interval /
- reliability

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图 1 边坡剖面布置图

Figure 1. Profile of slope

下载: 全尺寸图片幻灯片

图 2 蒙特卡洛模拟安全系数频率

Figure 2. Frequencies of safety factor by Monte Carlo simulation

下载: 全尺寸图片幻灯片

表 1 土体的物理力学参数

Table 1 Physico-mechanical parameters of soils

参数		c/kPa	φ/(°)
考虑随机性	均值	16.5633	24.0411
考虑随机性	方差	7.3752	3.8890
考虑模糊随机性	均值	16.2960	24.0278
考虑模糊随机性	方差	7.2643	3.7144

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表 2 模糊随机可靠度

Table 2 Fuzzy random reliabilities

λ	c^-	c⁺	φ^-	φ⁺	b^-	b⁺	R^-	R⁺	S^-	S⁺	λ			Z^-	Z⁺	μ^Z	σ^Z	β^-	β⁺			P_rλ
0.75	14.8504	17.7416	22.9941	25.0615	-55	55	446.3929	486.7471	300.8916	327.4468	0.75	1.3633	1.6177	118.9461	185.8555	152.4008	62.3736	1.5616	3.3251	0.9408	0.9996	0.9856
0.80	15.0228	17.5692	23.1174	24.9382	-44	44	453.7152	528.0391	329.9547	337.3319	0.80	1.3450	1.6003	116.3833	198.0844	157.2338	86.478	1.3094	2.3270	0.9048	0.9900	0.9595
0.85	15.2095	17.3825	23.2508	24.8048	-33	33	425.6826	520.0764	300.8915	334.8997	0.85	1.2711	1.7285	90.7829	219.1849	154.9839	159.2538	0.7660	1.1804	0.7782	0.8811	0.8330
0.90	15.4211	17.1709	23.4022	24.6534	-22	22	463.7094	466.4952	295.2597	329.9547	0.90	1.4054	1.5799	133.7547	171.2355	152.4951	57.73513	2.2602	3.0223	0.9881	0.9987	0.9951
0.95	15.6856	16.9064	23.5913	24.4643	-11	11	470.4071	510.8604	329.9547	337.3319	0.95	1.3945	1.5483	133.0752	180.9057	156.9905	105.5953	1.3825	1.5909	0.9166	0.9442	0.9311
1.00	16.2960	16.2960	24.0278	24.0278	0	0	448.5147	448.5147	298.0881	298.0881	1.0	1.5046	1.5046	150.4266	150.4266	152.4266	94.2872	1.5954	1.5954	0.9447	0.9447	0.9447

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表 3 蒙特卡洛模拟分析结果

Table 3 Analysis results of Monte Carlo simulation

平均安全系数	可靠度指标	失效概率/%	最小安全系数	最大安全系数	试验次数
1.9819	5.9791	0.0000	1.4407	2.6482	10000

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