An Analytical Solution for 2D Dynamic Structure-Soil-Structure Interaction for Twin Flexible Tunnels Embedded in a Homogeneous Half-Space

The interaction between subway tunnels is investigated by using a 2D analytic model of a twin tunnels system embedded in a homogenous half-space. The closed-form analytical solution for tunnel displacement response is derived through the wave function expansion method and the mirror method, and the...

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Autores principales:	Liguo Jin, Xujin Liu, Hongyang Sun, Zhenghua Zhou
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	soil-structure interaction (SSI) structure-soil-structure interaction (SSSI) subway tunnel analytic solution wave function expansion method SH-wave Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/d41edb041f8146ad91354ae1fe1fa7ad
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spelling	oai:doaj.org-article:d41edb041f8146ad91354ae1fe1fa7ad2021-11-11T15:23:14ZAn Analytical Solution for 2D Dynamic Structure-Soil-Structure Interaction for Twin Flexible Tunnels Embedded in a Homogeneous Half-Space10.3390/app1121103432076-3417https://doaj.org/article/d41edb041f8146ad91354ae1fe1fa7ad2021-11-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/21/10343https://doaj.org/toc/2076-3417The interaction between subway tunnels is investigated by using a 2D analytic model of a twin tunnels system embedded in a homogenous half-space. The closed-form analytical solution for tunnel displacement response is derived through the wave function expansion method and the mirror method, and the correctness of the solution is verified through residuals convergence and comparison with the published results. The analysis focuses on the effects of tunnel relative stiffness on tunnel–soil–tunnel interaction. Tunnel relative stiffness has a great influence on tunnel displacement response. For small tunnel relative stiffness, tunnel displacement amplitude can be enlarged by 3.3 times that of single rigid tunnel model. The response of the tunnel–soil–tunnel interaction system depends not only on the distances between tunnels but also on the frequency of the incident wave and the incident angle. The strength of the interaction between the tunnels is highly related to the tunnel spacing distance. The smaller the distance between tunnels, the stronger the interaction between them. When the distance between tunnels reaches <i>s</i>/<i>a</i> = 20, the interaction between tunnels can be ignored. It is worth pointing out that the seismic design of underground tunnels should consider the interaction between tunnels when the tunnel distance is small.Liguo JinXujin LiuHongyang SunZhenghua ZhouMDPI AGarticlesoil-structure interaction (SSI)structure-soil-structure interaction (SSSI)subway tunnelanalytic solutionwave function expansion methodSH-waveTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10343, p 10343 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	soil-structure interaction (SSI) structure-soil-structure interaction (SSSI) subway tunnel analytic solution wave function expansion method SH-wave Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
spellingShingle	soil-structure interaction (SSI) structure-soil-structure interaction (SSSI) subway tunnel analytic solution wave function expansion method SH-wave Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999 Liguo Jin Xujin Liu Hongyang Sun Zhenghua Zhou An Analytical Solution for 2D Dynamic Structure-Soil-Structure Interaction for Twin Flexible Tunnels Embedded in a Homogeneous Half-Space
description	The interaction between subway tunnels is investigated by using a 2D analytic model of a twin tunnels system embedded in a homogenous half-space. The closed-form analytical solution for tunnel displacement response is derived through the wave function expansion method and the mirror method, and the correctness of the solution is verified through residuals convergence and comparison with the published results. The analysis focuses on the effects of tunnel relative stiffness on tunnel–soil–tunnel interaction. Tunnel relative stiffness has a great influence on tunnel displacement response. For small tunnel relative stiffness, tunnel displacement amplitude can be enlarged by 3.3 times that of single rigid tunnel model. The response of the tunnel–soil–tunnel interaction system depends not only on the distances between tunnels but also on the frequency of the incident wave and the incident angle. The strength of the interaction between the tunnels is highly related to the tunnel spacing distance. The smaller the distance between tunnels, the stronger the interaction between them. When the distance between tunnels reaches <i>s</i>/<i>a</i> = 20, the interaction between tunnels can be ignored. It is worth pointing out that the seismic design of underground tunnels should consider the interaction between tunnels when the tunnel distance is small.
format	article
author	Liguo Jin Xujin Liu Hongyang Sun Zhenghua Zhou
author_facet	Liguo Jin Xujin Liu Hongyang Sun Zhenghua Zhou
author_sort	Liguo Jin
title	An Analytical Solution for 2D Dynamic Structure-Soil-Structure Interaction for Twin Flexible Tunnels Embedded in a Homogeneous Half-Space
title_short	An Analytical Solution for 2D Dynamic Structure-Soil-Structure Interaction for Twin Flexible Tunnels Embedded in a Homogeneous Half-Space
title_full	An Analytical Solution for 2D Dynamic Structure-Soil-Structure Interaction for Twin Flexible Tunnels Embedded in a Homogeneous Half-Space
title_fullStr	An Analytical Solution for 2D Dynamic Structure-Soil-Structure Interaction for Twin Flexible Tunnels Embedded in a Homogeneous Half-Space
title_full_unstemmed	An Analytical Solution for 2D Dynamic Structure-Soil-Structure Interaction for Twin Flexible Tunnels Embedded in a Homogeneous Half-Space
title_sort	analytical solution for 2d dynamic structure-soil-structure interaction for twin flexible tunnels embedded in a homogeneous half-space
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/d41edb041f8146ad91354ae1fe1fa7ad
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An Analytical Solution for 2D Dynamic Structure-Soil-Structure Interaction for Twin Flexible Tunnels Embedded in a Homogeneous Half-Space

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