Analytical modeling for the calculation of underground train-induced vibrations in inhomogeneous soils with uncertainty

In this paper, an analytical wave function method was used to calculate the underground train-induced vibrations with the inhomogeneous soils taken into account. The wave function method is suitable for solving dynamic problems of multi-layered soils; therefore, inhomogeneous soils with uncertainty...

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Autores principales:	Honglei Sun, Yuchao Fang, Zonghao Yuan, Zhenqi Weng, Dingyu Ni
Formato:	article
Lenguaje:	EN
Publicado:	AIP Publishing LLC 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/27881ae0fae940f69749953f8dd12ae2
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spelling	oai:doaj.org-article:27881ae0fae940f69749953f8dd12ae22021-12-01T18:52:06ZAnalytical modeling for the calculation of underground train-induced vibrations in inhomogeneous soils with uncertainty2158-322610.1063/5.0058234https://doaj.org/article/27881ae0fae940f69749953f8dd12ae22021-11-01T00:00:00Zhttp://dx.doi.org/10.1063/5.0058234https://doaj.org/toc/2158-3226In this paper, an analytical wave function method was used to calculate the underground train-induced vibrations with the inhomogeneous soils taken into account. The wave function method is suitable for solving dynamic problems of multi-layered soils; therefore, inhomogeneous soils with uncertainty could be achieved by assigning different soil parameters to each soil layer. Based on the method, a half-space dynamic model with a viscoelastic cylinder tunnel was established. The dynamic shear modulus of the soil was the main uncertain variable in this study, and models with different load frequencies are compared to analyze the effect caused by the uncertainty. According to the numerical results, the relationship between the uncertainty of the soil modulus and the dynamic response of the model was given. When the dynamic shear modulus changes randomly with the range of 20%, the vertical displacement of the surface can be from 1.02 to 1.12 times to that in the model where the soil is homogeneous, while the displacement of the tunnel vault is 1.03–1.1 times.Honglei SunYuchao FangZonghao YuanZhenqi WengDingyu NiAIP Publishing LLCarticlePhysicsQC1-999ENAIP Advances, Vol 11, Iss 11, Pp 115321-115321-14 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Honglei Sun Yuchao Fang Zonghao Yuan Zhenqi Weng Dingyu Ni Analytical modeling for the calculation of underground train-induced vibrations in inhomogeneous soils with uncertainty
description	In this paper, an analytical wave function method was used to calculate the underground train-induced vibrations with the inhomogeneous soils taken into account. The wave function method is suitable for solving dynamic problems of multi-layered soils; therefore, inhomogeneous soils with uncertainty could be achieved by assigning different soil parameters to each soil layer. Based on the method, a half-space dynamic model with a viscoelastic cylinder tunnel was established. The dynamic shear modulus of the soil was the main uncertain variable in this study, and models with different load frequencies are compared to analyze the effect caused by the uncertainty. According to the numerical results, the relationship between the uncertainty of the soil modulus and the dynamic response of the model was given. When the dynamic shear modulus changes randomly with the range of 20%, the vertical displacement of the surface can be from 1.02 to 1.12 times to that in the model where the soil is homogeneous, while the displacement of the tunnel vault is 1.03–1.1 times.
format	article
author	Honglei Sun Yuchao Fang Zonghao Yuan Zhenqi Weng Dingyu Ni
author_facet	Honglei Sun Yuchao Fang Zonghao Yuan Zhenqi Weng Dingyu Ni
author_sort	Honglei Sun
title	Analytical modeling for the calculation of underground train-induced vibrations in inhomogeneous soils with uncertainty
title_short	Analytical modeling for the calculation of underground train-induced vibrations in inhomogeneous soils with uncertainty
title_full	Analytical modeling for the calculation of underground train-induced vibrations in inhomogeneous soils with uncertainty
title_fullStr	Analytical modeling for the calculation of underground train-induced vibrations in inhomogeneous soils with uncertainty
title_full_unstemmed	Analytical modeling for the calculation of underground train-induced vibrations in inhomogeneous soils with uncertainty
title_sort	analytical modeling for the calculation of underground train-induced vibrations in inhomogeneous soils with uncertainty
publisher	AIP Publishing LLC
publishDate	2021
url	https://doaj.org/article/27881ae0fae940f69749953f8dd12ae2
work_keys_str_mv	AT hongleisun analyticalmodelingforthecalculationofundergroundtraininducedvibrationsininhomogeneoussoilswithuncertainty AT yuchaofang analyticalmodelingforthecalculationofundergroundtraininducedvibrationsininhomogeneoussoilswithuncertainty AT zonghaoyuan analyticalmodelingforthecalculationofundergroundtraininducedvibrationsininhomogeneoussoilswithuncertainty AT zhenqiweng analyticalmodelingforthecalculationofundergroundtraininducedvibrationsininhomogeneoussoilswithuncertainty AT dingyuni analyticalmodelingforthecalculationofundergroundtraininducedvibrationsininhomogeneoussoilswithuncertainty
_version_	1718404680693841920

Analytical modeling for the calculation of underground train-induced vibrations in inhomogeneous soils with uncertainty

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