Dynamic response of a double-deck circular tunnel embedded in a full-space

Abstract

© 2016. This version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/A three-dimensional dynamic model for calculating the ground-borne vibrations generated by harmonic loads applied on the interior floor of a double-deck circular tunnel is developed. The response of the system is obtained coupling the interior floor subsystem and the tunnel-soil subsystem in the wavenumber-frequency domain. The interior floor is modeled as a thin plate of infinite length in the train circulation direction and the tunnel-soil system is described using the Pipe in Pipe model. Some numerical instabilities of the resulting expressions are overcome by using analytic approximations. The results show that the dynamic behavior of the interior floor clearly influences the magnitude of the coupling loads acting on the tunnel structure. The soil response to a harmonic load acting on the double-deck tunnel is compared to the one obtained for the case of a simple tunnel finding significant differences between them for the whole range of frequencies studied. The proposed model extends the prediction of train-induced vibrations using computationally efficient models to this type of tunnel structure.Peer ReviewedPostprint (author's final draft

Modelling, simulation and evaluation of ground vibration caused by rail vehicles

“…The outer pipe with infinite radius represents the surrounding soil and was simulated by elastic continuum theory [87,88]. The PiP model has been further improved and validated [89][90][91] by including a floating slab track and was used for predicting the effect of parallel twin tunnels [92] and a second deck [93]. More recently, the model has been extended to predict ground vibration from a harmonic load applied on a tunnel embedded in a multi-layered half-space [94].…”

An energy flow study of a double-deck tunnel under quasi-static and harmonic excitations

“…An upper case letter with an upper bar has been used to identify that a variable is expressed in this domain. The coupling procedure is only outlined in the following paragraphs but the interested reader can find more details in [6] and [7].…”

“…The aim of this paper is to extend the results presented in [5] by studying the effect that the load speed has in the comparison between the responses of doubledeck and simple tunnels. In order to perform this study, the soil response to static and harmonic moving loads is computed using the 3D double-deck tunnel model recently presented in [6]. The comparison is performed by considering the energy of vibration radiated upwards by both tunnels.…”

Vibration Characteristics of Subway Tunnel Structure in Viscous Soil Medium

“…en, Kuo et al [10] proposed a pair of parallel-tunnel models in homogeneous full space and calculated the difference between the vertical and horizontal results of the double-tunnel model and the single-tunnel model. Clot et al [11] extended this model to predict dynamic responses of a double-deck circular tunnel in full space. Parry et al [12] verified the behavior of the pipelines in a software model of pipeline vibrations to determine ground noise and vibration levels above a construction tunnel.…”