Improved robust design of rock wedge slopes with a new robustness measure

Fan, Binqiang; Wang, Liangqing; Gong, Wenping; Wang, Changshuo; Jiang, Yaofei; Sun, Zhenqiu

doi:10.1016/j.compgeo.2020.103548

Cited by 7 publications

(2 citation statements)

References 35 publications

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“…Doing so reduces the number of reliability analyses for M (the number of designs in the design space), but still uses mathematically complex operations, and input parameters remain unaltered. Different authors introduce changes into the design robustness measure [5][6][7][8][9][10], which also greatly reduces the number of reliability analyses for M, and simplifies the input parameters; however, complex mathematical procedures are still applied, unlike the ones used in everyday engineering practice.…”

Section: Discussionmentioning

confidence: 99%

“…The same robustness measure is applied by Zhou et al [8] in geotechnical slope design. Fan et al [9] define a new robustness measure for application in the design of rock wedge slopes-the sensitivity index of variability (SIV). The main shortcoming of SIV, considering its more general application in geotechnics, is the assumption that all random variables are independent and normally distributed, which is often not the case in practice.…”

Section: Introductionmentioning

confidence: 99%

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Modified, Reliability-Based Robust Geotechnical Design Method, in Accordance with Eurocode 7

et al. 2021

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In this paper a modification of the reliability-based robust geotechnical design (RGD) method is proposed. The intention of the proposed modifications is to simplify the method, make it less computationally expensive, and harmonise of the results with Eurocode 7. The complexity of the RGD method mainly stems from the calculation of the design’s robustness measure, which is the feasibility robustness index (). Due to this fact, the replacing of the existing robustness measure with a generalised reliability index () is considered. It was demonstrated that fits into the robustness concept, and is traditionally used as a construction reliability measure, making it intuitive and “user friendly”. It is proposed to conduct a sensitivity analysis using Soboli indices, with the aim of freezing the variables whose contribution to the system response variance is negligible, which will further simplify the method. By changing the robustness measure, the number of the required reliability analyses is significantly decreased. Further reduction is achieved by conducting analyses only for the designs chosen in the scope of the genetic algorithm. The original RGD method is used as an extension of traditional reliability-based design. By applying the proposed modifications, the RGD method can be used as an alternative to the classic and reliability-based design method.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modified, Reliability-Based Robust Geotechnical Design Method, in Accordance with Eurocode 7

et al. 2021

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Multi‐objective reliability‐based robust design for a rock tunnel support system using Pareto optimality

Zhang,

Li,

Zhang

et al. 2024

Num Anal Meth Geomechanics

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In the context of rock material and modeling uncertainties, the optimization of rock tunnel support systems is often conducted by selecting the most cost‐effective solution among several feasible options that typically rely on the engineer's experience, potentially leading to overlooking the most optimal design. To improve such a limitation, this paper presents a multi‐objective reliability‐based robust design, considering the cost, safety, and design robustness systematically while maintaining the computational efficiency. In this framework, the uncertainty‐based reliability constrains is performed using the first‐order reliability method (FORM) and an improved Hasofer–Lind–Rackwits–Fiessler recursive algorithm (iHLRF‐x). The design robustness, in terms of sensitivity index (SI), is evaluated using the normalized gradient of the system response to the noise factors, which can be efficiently obtained from the output of FORM analysis. Then, the Pareto front revealing the tradeoff between multiple objectives can be directly generated using the proposed optimization framework. To illustrate the effectiveness of this procedure, a set of the optimal design combinations of the shotcrete thickness and installation position for the exampled rock tunnel are obtained, and new perspectives pertaining the success of the reliability‐based robust designs are provided.

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Determining the Key Design Parameters of Tool-Path Planning for Rock Joint Carving

Fan

Wang

et al. 2022

Rock Mech Rock Eng

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Improved robust design of rock wedge slopes with a new robustness measure

Cited by 7 publications

References 35 publications

Modified, Reliability-Based Robust Geotechnical Design Method, in Accordance with Eurocode 7

Modified, Reliability-Based Robust Geotechnical Design Method, in Accordance with Eurocode 7

Multi‐objective reliability‐based robust design for a rock tunnel support system using Pareto optimality

Determining the Key Design Parameters of Tool-Path Planning for Rock Joint Carving

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