主余震序列作用下考虑材料参数空间变异性的边坡动力可靠度分析
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作者:
作者单位:

1.大连理工大学,建设工程学院,辽宁 大连 116024;2.大连理工大学,海岸和近海工程国家重点实验室,辽宁 大连 116024

作者简介:

徐斌(1981- ),男,博士,教授,博士生导师,主要从事土动力学与高土石坝抗震研究,E-mail: xubin@dlut.edu.cn.
XU Bin (1981- ), PhD, professor, doctorial supervisor, main research interests: soil dynamics and seismic performance of high earth rock dams, E-mail: xubin@dlut.edu.cn.

通讯作者:

庞锐,男,博士,副教授,E-mail: pangrui@dlut.edu.cn.

中图分类号:

P642.22

基金项目:

国家重点研发计划(2023YFC3011400);国家自然科学基金(52379117、52279096、52279125);水利工程仿真与安全国家重点实验室开放基金(HESS-2302);海岸和近海工程国家重点实验室青年学者创新基金(LY2301)


Dynamic slope reliability analysis considering spatial variability of material parameters under action of mainshock-aftershock sequences
Author:
Affiliation:

1.School of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, Liaoning, P. R. China;2.State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, Liaoning, P. R. China

Fund Project:

National Key R & D Program of China (No. 2023YFC3011400); National Natural Science Foundation of China (Nos. 52379117, 52279096, 52279125); State Key Laboratory of Hydraulic Engineering Simulation and Safety Open Fund (No. HESS-2302); State Key Laboratory of Coastal and Offshore Engineering Young Scholars Innovation Fund (No. LY2301).

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    摘要:

    边坡在地震作用下的动力响应研究目前主要关注单一主震作用,而没有考虑余震的影响,且材料参数的空间变异性往往被忽略。考虑土体强度参数的空间变异性,提出一种基于Newmark方法和概率密度演化方法(PDEM)的可靠度分析框架来量化余震及空间变异性对边坡动力可靠度的影响。首先,将物理随机函数模型、Copula函数和窄带谐波群叠加方法相结合,生成主余震序列。此外,基于谱表示法生成随机场,并根据对应坐标将参数赋值到有限元模型中。然后,采用Newmark位移法批量计算主余震序列作用下考虑材料参数空间变异性的边坡永久位移,并通过位移均值分析黏聚力和摩擦角的变异系数(COVC和COVF)、余震和峰值加速度(PGA)对边坡永久位移的影响。最后,基于PDEM,从概率的角度解释变异系数(COV)和余震对边坡动力可靠度的影响。结果表明:随着COV的增大,边坡的永久位移均值呈逐渐增大趋势,相比之下,COVF对边坡的永久位移影响更明显;与单一主震相比,地震序列作用下边坡的位移均值更大;若忽略材料参数的空间变异性和余震的影响,将明显高估边坡的抗震性能。

    Abstract:

    The research on the dynamic response of slopes under seismic action currently focuses on a single mainshock without considering the effect of aftershocks, and the spatial variability of material parameters is generally ignored. In this paper, the spatial variability of parameters is fully considered, and a reliability analysis framework based on the Newmark method and probaility density evolution method (PDEM) is proposed to quantify the effects of aftershocks and spatial variability on the dynamic reliability. First, the physical random function model, Copula function and the narrowband harmonic group superposition method are combined to generate the mainshock-aftershock sequence (MAS). In addition, the random field is generated based on the spectral representation and parameters are assigned to the finite element model based on the corresponding coordinates. Then, the permanent displacement of the slope considering the spatial variability of parameters subjected to the MAS was batch calculated based on the Newmark method, and the effects of the coefficient of variation of cohesion and friction angle (COVC and COVF), aftershock, and peak ground acceleration (PGA) on the permanent displacement of the slope were analyzed by the mean of the displacement. Finally, based on PDEM, the effects of COV and aftershocks on the dynamic reliability of the slope are explained from a probabilistic point of view. The results of the study show that the mean of displacements shows a gradual increase with an increase of coefficient of variation (COV). In contrast, the COVF has a more pronounced effect on the slope displacement . In addition, the mean of displacement of the slope subjected to the MAS is greater compared to that of the single mainshock. If the spatial variability of parameters and the influence of aftershocks are ignored, the seismic performance of the slope would be overestimated.

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徐斌,王淦,庞锐.主余震序列作用下考虑材料参数空间变异性的边坡动力可靠度分析[J].土木与环境工程学报(中英文),2025,47(6):1-12. XU Bin, WANG Gan, PANG Rui. Dynamic slope reliability analysis considering spatial variability of material parameters under action of mainshock-aftershock sequences[J]. JOURNAL OF CIVIL AND ENVIRONMENTAL ENGINEERING,2025,47(6):1-12.10.11835/j. issn.2096-6717.2024.065

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  • 收稿日期:2024-05-11
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  • 在线发布日期: 2025-12-17
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