Reliability analysis of strip footing under rainfall using KL-FORM

IF 2.5 3区 工程技术 Q2 ENGINEERING, CIVIL
Suozhu Fei, Xiaohui Tan, W. Gong, Xiaole Dong, F. Zha, Long Xu
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引用次数: 4

Abstract

Spatial variability is an inherent uncertainty of soil properties. Current reliability analyses generally incorporate random field theory and Monte Carlo simulation (MCS) when dealing with spatial variability, in which the computational efficiency is a significant challenge. This paper proposes a KL-FORM algorithm to improve the computational efficiency. In the proposed KL-FORM, Karhunen-Loeve (KL) expansion is used for discretizing random fields, and first-order reliability method (FORM) is employed for reliability analysis. The KL expansion and FORM can be used in conjunction, through adopting independent standard normal variables in the discretization of KL expansion as the basic variables in the FORM. To illustrate the effectiveness of this KL-FORM, it is applied to a case study of a strip footing in spatially variable unsaturated soil under rainfall, in which the bearing capacity of the footing is computed by numerical simulation. This case study shows that the KL-FORM is accurate and efficient. The parametric analyses suggest that ignoring the spatial variability of the soil may lead to an underestimation of the reliability index of the footing.
基于KL-FORM的条形基础雨下可靠度分析
空间变异性是土壤性质固有的不确定性。目前的可靠性分析在处理空间变异性时通常采用随机场理论和蒙特卡罗模拟方法,这对计算效率提出了很大的挑战。为了提高计算效率,本文提出了一种KL-FORM算法。在KL-FORM中,采用Karhunen-Loeve (KL)展开对随机场进行离散化,采用一阶可靠度法(FORM)进行可靠度分析。通过采用KL展开离散化中的独立标准正态变量作为FORM中的基本变量,可以将KL展开与FORM结合使用。为了说明该KL-FORM的有效性,将其应用于降雨条件下空间可变非饱和土条形基础的实例研究,并通过数值模拟计算了基础的承载力。实例研究表明,KL-FORM是准确、高效的。参数分析表明,忽略土体的空间变异性可能会导致对基础可靠度指标的低估。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Geomechanics and Engineering
Geomechanics and Engineering ENGINEERING, CIVIL-ENGINEERING, GEOLOGICAL
CiteScore
5.20
自引率
25.00%
发文量
0
审稿时长
>12 weeks
期刊介绍: The Geomechanics and Engineering aims at opening an easy access to the valuable source of information and providing an excellent publication channel for the global community of researchers in the geomechanics and its applications. Typical subjects covered by the journal include: - Analytical, computational, and experimental multiscale and interaction mechanics- Computational and Theoretical Geomechnics- Foundations- Tunneling- Earth Structures- Site Characterization- Soil-Structure Interactions
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