Characterization of Model Uncertainty for the Vertical Pullout Capacity of Helical Anchors in Cohesive Soils

This paper conducts coupled Eulerian–Lagrangian (<i>CEL</i>) analysis to characterize the model uncertainty of using the cylindrical shear method (<i>CSM</i>) to predict the pullout capacity of helical anchors in cohesive soils. The model factor <i>M</i> is adopte...

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Main Authors: Po Cheng, Jiang Tao Yi, Fei Liu, Jun Jie Dong
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Journal of Marine Science and Engineering
Subjects:
Online Access:https://www.mdpi.com/2077-1312/8/10/738
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spelling doaj-d413e34f816543e690cbdb5893a40d322021-04-02T10:50:16ZengMDPI AGJournal of Marine Science and Engineering2077-13122020-09-01873873810.3390/jmse8100738Characterization of Model Uncertainty for the Vertical Pullout Capacity of Helical Anchors in Cohesive SoilsPo Cheng0Jiang Tao Yi1Fei Liu2Jun Jie Dong3School of Civil Engineering, Chongqing University, China, No.83 Shabei Street, Chongqing 400045, ChinaSchool of Civil Engineering, Chongqing University, China, No.83 Shabei Street, Chongqing 400045, ChinaSchool of Civil Engineering, Chongqing University, China, No.83 Shabei Street, Chongqing 400045, ChinaSchool of Civil Engineering, Chongqing University, China, No.83 Shabei Street, Chongqing 400045, ChinaThis paper conducts coupled Eulerian–Lagrangian (<i>CEL</i>) analysis to characterize the model uncertainty of using the cylindrical shear method (<i>CSM</i>) to predict the pullout capacity of helical anchors in cohesive soils. The model factor <i>M</i> is adopted to represent the model uncertainty, which is equal to the value of measured capacity divided by estimated solution. The model factor <i>M<sub>cel</sub></i> can be considered to be a random variable with a lognormal distribution, and its mean value and coefficient of variation (<i>COV</i>) are 1.02 and 0.1, respectively. Correction factor <i>η</i> is introduced when comparing <i>CSM</i> and <i>CEL</i>, which is found to be influenced by input parameters. The dependence on input parameters is removed by performing regression analysis and the regression equation <i>f</i> is obtained. Substituting the regression equation <i>f</i> into the original <i>CSM</i> constitutes the modified <i>CSM</i> (<i>MCSM</i>), and the model factor of <i>MCSM</i> can be modeled as a random variable with a lognormal distribution, and its mean value and <i>COV</i> are 1.02 and 0.13, respectively. Finally, 13 filed tests are collected to compare the prediction accuracy, the results show that the prediction error range of <i>MCSM</i> is mostly within 15%. The present findings might be helpful for engineers and designers to estimate the pullout capacity of helical anchors in cohesive soils more confidently.https://www.mdpi.com/2077-1312/8/10/738helical anchorthe coupled Eulerian–Lagrangian analysismodel uncertaintypullout capacitycylindrical shear method
collection DOAJ
language English
format Article
sources DOAJ
author Po Cheng
Jiang Tao Yi
Fei Liu
Jun Jie Dong
spellingShingle Po Cheng
Jiang Tao Yi
Fei Liu
Jun Jie Dong
Characterization of Model Uncertainty for the Vertical Pullout Capacity of Helical Anchors in Cohesive Soils
Journal of Marine Science and Engineering
helical anchor
the coupled Eulerian–Lagrangian analysis
model uncertainty
pullout capacity
cylindrical shear method
author_facet Po Cheng
Jiang Tao Yi
Fei Liu
Jun Jie Dong
author_sort Po Cheng
title Characterization of Model Uncertainty for the Vertical Pullout Capacity of Helical Anchors in Cohesive Soils
title_short Characterization of Model Uncertainty for the Vertical Pullout Capacity of Helical Anchors in Cohesive Soils
title_full Characterization of Model Uncertainty for the Vertical Pullout Capacity of Helical Anchors in Cohesive Soils
title_fullStr Characterization of Model Uncertainty for the Vertical Pullout Capacity of Helical Anchors in Cohesive Soils
title_full_unstemmed Characterization of Model Uncertainty for the Vertical Pullout Capacity of Helical Anchors in Cohesive Soils
title_sort characterization of model uncertainty for the vertical pullout capacity of helical anchors in cohesive soils
publisher MDPI AG
series Journal of Marine Science and Engineering
issn 2077-1312
publishDate 2020-09-01
description This paper conducts coupled Eulerian–Lagrangian (<i>CEL</i>) analysis to characterize the model uncertainty of using the cylindrical shear method (<i>CSM</i>) to predict the pullout capacity of helical anchors in cohesive soils. The model factor <i>M</i> is adopted to represent the model uncertainty, which is equal to the value of measured capacity divided by estimated solution. The model factor <i>M<sub>cel</sub></i> can be considered to be a random variable with a lognormal distribution, and its mean value and coefficient of variation (<i>COV</i>) are 1.02 and 0.1, respectively. Correction factor <i>η</i> is introduced when comparing <i>CSM</i> and <i>CEL</i>, which is found to be influenced by input parameters. The dependence on input parameters is removed by performing regression analysis and the regression equation <i>f</i> is obtained. Substituting the regression equation <i>f</i> into the original <i>CSM</i> constitutes the modified <i>CSM</i> (<i>MCSM</i>), and the model factor of <i>MCSM</i> can be modeled as a random variable with a lognormal distribution, and its mean value and <i>COV</i> are 1.02 and 0.13, respectively. Finally, 13 filed tests are collected to compare the prediction accuracy, the results show that the prediction error range of <i>MCSM</i> is mostly within 15%. The present findings might be helpful for engineers and designers to estimate the pullout capacity of helical anchors in cohesive soils more confidently.
topic helical anchor
the coupled Eulerian–Lagrangian analysis
model uncertainty
pullout capacity
cylindrical shear method
url https://www.mdpi.com/2077-1312/8/10/738
work_keys_str_mv AT pocheng characterizationofmodeluncertaintyfortheverticalpulloutcapacityofhelicalanchorsincohesivesoils
AT jiangtaoyi characterizationofmodeluncertaintyfortheverticalpulloutcapacityofhelicalanchorsincohesivesoils
AT feiliu characterizationofmodeluncertaintyfortheverticalpulloutcapacityofhelicalanchorsincohesivesoils
AT junjiedong characterizationofmodeluncertaintyfortheverticalpulloutcapacityofhelicalanchorsincohesivesoils
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