Uncertainty quantification in the analysis of liquefied soil response through Fuzzy Finite Element method

IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Acta Geodynamica et Geomaterialia Pub Date : 2022-06-14 DOI:10.13168/agg.2022.0007
F. Kalateh
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Abstract

In the present study, a scheme based on fuzzy finite element method was provided for uncertainty quantification of liquefied saturated soil response under dynamic loading. In this respect, the coupled dynamic equations which are known as u-p equations were used, and instead of crisp values for input parameters, including permeability coefficient, specific mass of the soil, compressibility and shear modulus, their fuzzy numbers were used. At the end, displacements and pore water pressure created during earthquake were reported as fuzzy numbers. After verifying procedures of fuzzy analysis by experimental results from the centrifuge model test No. 1 from the VELACS project, several membership grades were considered. Firstly, the effect of fuzzification of each input soil parameter investigated individually, and then effect of considering all four input soil parameters as fuzzy numbers was analyzed by developed method. It was indicated that results of the analysis during the effective time of the earthquake were strongly influenced by the shear modulus and partially by compressibility modulus, and after this time, it was mainly affected by the permeability coefficient. Also considering uncertainty nature of specific mass of the soil had no significant effect on the results.
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模糊有限元法在液化土响应分析中的不确定性量化
本文提出了一种基于模糊有限元法的液化饱和土动力响应不确定性量化方案。在这方面,使用了被称为u-p方程的耦合动力学方程,并且使用了它们的模糊数,而不是输入参数的脆值,包括渗透系数、土壤的比质量、压缩性和剪切模量。最后,地震过程中产生的位移和孔隙水压力被报道为模糊数。在根据VELACS项目1号离心机模型试验的实验结果验证模糊分析程序后,考虑了几个隶属度等级。首先,分别研究了每个输入土壤参数的模糊化效果,然后利用所开发的方法分析了将所有四个输入土壤参数都视为模糊数的效果。结果表明,地震有效期内的分析结果主要受剪切模量的影响,部分受压缩模量的影响;地震有效期后的分析结果则主要受渗透系数的影响。此外,考虑到土壤比质量的不确定性,对结果没有显著影响。
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来源期刊
Acta Geodynamica et Geomaterialia
Acta Geodynamica et Geomaterialia 地学-地球化学与地球物理
CiteScore
2.30
自引率
0.00%
发文量
12
期刊介绍: Acta geodynamica et geomaterialia (AGG) has been published by the Institute of Rock Structures and Mechanics, Czech Academy of Sciences since 2004, formerly known as Acta Montana published from the beginning of sixties till 2003. Approximately 40 articles per year in four issues are published, covering observations related to central Europe and new theoretical developments and interpretations in these disciplines. It is possible to publish occasionally research articles from other regions of the world, only if they present substantial advance in methodological or theoretical development with worldwide impact. The Board of Editors is international in representation.
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