Numerical modelling in seismic analysis of tunnels regarding soil-structure interaction

Zlatanović, Elefterija; Broćeta, Gordana; Popovic-Miletic, Natasa

doi:10.2298/fuace1303251z

Cited by 4 publications

(5 citation statements)

References 17 publications

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“…In order to analyse real geotechnical problems, such as the seismic response of tunnel structures, certain assumptions and idealisations must be made, in particular, to simplify and idealise the geometry and boundary conditions of the problem. 41 Furthermore, there is a distinction between the shallow-tunnel case, typical in urban areas, where the overburden height ranges from a few tens of meters to very limited heights that can be even less than a tunnel diameter (e.g. shallow tunnels in India with only 4.5 m overburden), and the deep-tunnel case, typical in mountainous terrains, where the tunnel depth can be tens or hundreds of meters, and even more than 1000 m (e.g.…”

Section: Statement Of the Problemmentioning

confidence: 99%

Influence of a new‐bored neighbouring cavity on the seismic response of an existing tunnel under incident P‐ and SV‐waves

Zlatanović

Sesov

Lukić

et al. 2021

Earthq Engng Struct Dyn

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One of the important problems regarding the tunnel design in seismically active areas is the assessment of the mutual effect of two closely running tunnels. With the propagation of seismic waves, the stresses in certain sections of a tunnel, owing to the presence of an adjacent tunnel, can exceed those occurring when considering the single‐tunnel case. In the focus of this study is the hitherto unexplored elastic wave diffraction problem, which considers the influence of the presence of a new‐bored neighbouring cavity on the seismic response of an existing tunnel, under incident P‐waves/SV‐waves. The wave function expansion method, the corresponding boundary conditions along the tunnel and cavity contours, and the translational addition theorem for bi‐cylindrical wave functions are jointly employed to develop an exact mathematical solution of the given problem in the form of infinite FourierBessel series, under the plane‐strain conditions. The dynamic effects of structures are presented in the form of a newly introduced dynamic stress alteration factor as a measure of the variation of dynamic hoop stress amplitudes in the lining and the surrounding medium of an existing tunnel affected by the presence of a closely running newly‐constructed tunnel opening. The results of this study are believed to be useful for interpretation of design rules, particularly considering that seismic standards for tunnels are still in the preliminary stage, where the aspect of the minimum seismically safe distance of a newly‐constructed tunnel opening in the vicinity of an existing tunnel should be of particular concern.

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Section: Statement Of the Problemmentioning

confidence: 99%

Influence of a new‐bored neighbouring cavity on the seismic response of an existing tunnel under incident P‐ and SV‐waves

Zlatanović

Sesov

Lukić

et al. 2021

Earthq Engng Struct Dyn

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“…In many elastodynamic problems, however, the bond between the liner and the surrounding ground may be imperfect [11,12].…”

Section: Boundary Conditionsmentioning

confidence: 99%

Mathematical interpretation of seismic wave scattering and refraction on tunnel structures of circular cross-section

Zlatanović

Sesov

Lukić

et al. 2020

FACTA U SERIES ARCHI

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Mathematical interpretation of the elastic wave diffraction in circular cylinder coordinates is in the focus of this paper. Firstly, some of the most important properties of Bessel functions, pertinent to the elastic wave scattering problem, have been introduced. Afterwards, basic equations, upon which the method of wave function expansions is established, are given for cylindrical coordinates and for plane-wave representation. In addition, steady-state solutions for the cases of a single cavity and a single tunnel are presented, with respect to the wave scattering and refraction phenomena, considering both incident plane harmonic compressional and shear waves. The last part of the work is dealing with the translational addition theorems having an important role in the problems of diffraction of waves on a pair of circular cylinders.

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“…The tied degrees of freedom boundary condition was applied at the contact between the tunnel lining and the surrounding ground-springs [17], in order to constrain the nodes of both beam and spring elements to deform identically for the purpose of no-slip condition simulation, assuming compatible displacements of the lining and the ground.…”

Section: Discrete Coupled Beam-spring Model (Ansys)mentioning

confidence: 99%

Tunnel–ground interaction analysis: discrete beam–spring vs. continuous FE model

et al. 2017

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Original scientific paper For the purpose of studying the soil-tunnel structure interaction, a number of two-dimensional linear numerical analyses has been performed with the aid of the software package ANSYS. The present study employs both discrete beam-spring and continuous FE models, in order to estimate their ability to simulate the soil-structure interaction effects. Since these effects are particularly pronounced during seismic events, the main attention has been focused on dynamic analyses. The earthquake loading is simulated under pure shear conditions and determined by the one-dimensional free-field ground response analysis using the code EERA. Results obtained by simplified dynamic analyses are compared with state-of-practice closed-form elastic solutions and significant factors influencing the tunnel-ground interaction are evaluated. In addition, with the author's aim to develop more realistic and relevant models, effects of initial static conditions are also considered in the analyses. Keywords: circular tunnel; continuous FE model; discrete beam-spring model; soil-structure interaction; static and dynamic loads Analiza interakcije tunela i tla: diskretni model s oprugama nasuprot kontinuiranom modelu s konačnim elementimaIzvorni znanstveni članak U cilju istraživanja interakcije tunela s okolnim tlom, provedene su dvodimenzijske linearne numeričke analize primjenom softvera ANSYS. Istraživanja su obuhvatila diskretni model s oprugama i kontinuirani model s konačnim elementima, kako bi se ispitala njihova sposobnost u simuliranju efekata interakcije konstrukcije i tla, s posebnim osvrtom na dinamičke analize, imajući u vidu da su ovi efekti posebice izraženi u seizmičkim uvjetima. Utjecaj potresa, simuliran u uvjetima čistog smika, određen je jednodimenzijskom analizom seizmičkog odgovora tla primjenom softvera EERA. Rezultati dobiveni pojednostavljenim dinamičkim analizama upoređeni su s najčešće primjenjivanim analitičkim rejšenjima, uz sagledavanje najznačajnijih faktora koji karakteriziraju interakciju tunelske konstrukcije s okolišem. U cilju razvoja što realnijih i relevantnijih modela, analizama su također obuhvaćeni i početni statički uvjeti. Ključne riječi: diskretni model s oprugama; interakcija tunela i tla; kontinuirani model s konačnim elementima; kružni tunel; statičko i dinamičko opterećenje

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Numerical modelling in seismic analysis of tunnels regarding soil-structure interaction

Cited by 4 publications

References 17 publications

Influence of a new‐bored neighbouring cavity on the seismic response of an existing tunnel under incident P‐ and SV‐waves

Influence of a new‐bored neighbouring cavity on the seismic response of an existing tunnel under incident P‐ and SV‐waves

Mathematical interpretation of seismic wave scattering and refraction on tunnel structures of circular cross-section

Tunnel–ground interaction analysis: discrete beam–spring vs. continuous FE model

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