Geotechnical reliability-based design using generalized subset simulation with a design response vector

Geotechnical reliability-based design using generalized subset simulation with a design response vector
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使用广义子集模拟和设计响应向量进行基于岩土可靠性的设计

DOI:
10.1016/j.compgeo.2021.104392
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发表时间:
2021-11
影响因子:
5.3
通讯作者:
Phoon Kok-Kwang
Phoon Kok-Kwang
中科院分区:
工程技术2区
文献类型:
--
作者:
Yang Yi-Jian;Li Dian-Qing;Cao Zi-Jun;Gao Guo-Hui;Phoon Kok-Kwang

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本研究提出了一种高效的全概率设计方法,使用一种先进的蒙特卡罗模拟(MCS)算法,即所谓的广义子集模拟(GSS),并提出了设计响应向量的概念。提出的设计响应向量包含所有可能设计的响应,并用于同时探索不同设计的失效域。利用设计响应向量,通过单次GSS运行确定不同岩土极限状态的可行设计域。GSS运行可以在达到目标可靠性级别(或其他用户定义的可靠性级别)时终止,以避免完全探索整个设计空间。这提供了显著的计算节省,特别是当设计空间相对较大和目标可靠性水平相对较高时。最后以一个钻井井设计实例说明了该方法的可行性。结果表明,与直接MCS和原始基于子集仿真的方法相比,该方法为确定全概率设计的可行设计域提供了一种高效、鲁棒的工具。此外,基于GSS生成的失效样本,可以近似确定设计点,并可用于反算与情况相关的阻力(或变形)因子,从而将基于mcs的全概率设计与半概率设计联系起来。
This study proposes an efficient full probabilistic design method using an advanced Monte Carlo simulation (MCS) algorithm, so-called generalized Subset Simulation (GSS), for which a concept of design response vector is proposed. The proposed design response vector contains responses of all possible designs and is used to, simultaneously, explore failure domains of different designs. With the design response vector, the proposed approach determines feasible design domains of different geotechnical limit states by a single GSS run. The GSS run can be terminated as the target reliability level (or other user-defined reliability levels) is reached to avoid completely exploring the whole design space. This provides significant computational savings, particularly as the design space is relatively large and the target reliability level is relatively high. The proposed approach is illustrated using a drilled shaft design example. Results show that it provides an efficient and robust vehicle to determine the feasible design domains for full probabilistic design compared with direct MCS and original Subset Simulation-based approaches. Moreover, based on failure samples generated by GSS, the design point is, approximately, determined and can be used to back-calculate case-dependent resistance (or deformation) factors, which links MCS-based full probabilistic design to semi-probabilistic design.
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