Benchmark solution for vibrations from a moving point source in a tunnel embedded in a half-space

Yuan, Zonghao; Boström, Anders E; Cai, Yuanqiang

doi:10.1016/j.jsv.2016.10.016

Cited by 67 publications

(10 citation statements)

References 25 publications

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“…A similar approach was proposed in [95] with the tunnel modelled an elastic hollow cylinder of finite thickness. The assumption of the full-space surrounding the tunnel is lifted in [96]; however the benchmark solutions presented are limited to cases of vibration from a point load in a tunnel embedded in a homogeneous half-space. Recently a 3D analytical model for calculation of ground vibration from a tunnel, modelled as an elastic hollow cylinder, embedded in a single layer within a multi-layered half-space was proposed in [97].…”

Section: Methodsmentioning

confidence: 99%

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

Thompson

Kouroussis

Ntotsios

2019

Vehicle System Dynamics

137

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There is a great need to develop rail networks over long distances and within cities as more sustainable transport options. However, noise and vibration are seen as a negative environmental consequence. Compared with airborne noise, the related problem of ground vibration is much more complex. The properties of the ground vary significantly from one location to another. There is no common assessment criterion or measurement quantity and no equivalent to the noise maps. Ground-borne vibration is transmitted into buildings and perceived either as feelable whole-body vibration or as low frequency noise; it can also affect sensitive equipment but it is generally at a level that is too low to cause structural or cosmetic damage to buildings. A review is given of evaluation criteria for both feelable vibration and ground-borne noise, empirical and numerical prediction methods, the main vehicle and track parameters that can affect the vibration levels and a range of possible mitigation methods.

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Section: Methodsmentioning

confidence: 99%

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

Thompson

Kouroussis

Ntotsios

2019

Vehicle System Dynamics

137

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“…Now we consider a brief review of the investigations related to the dynamics of the system consisting of the hollow cylinder and surrounding elastic medium which have been made by utilizing the classical linear theory of elastodynamics. Among these investigations, we can select the papers [Pozhuev (1980); Abdulkadirov (1981); Chonan (1981); Hasheminejad and Komeli (2009); Hussein, François, Schevenels et al (2014); Yuan, Bostrom and Cai (2017)] and others listed therein. Chonan [Chonan (1981)] studied the dynamics of the axisymmetric moving ring load acting in the interior of a cylindrical shell surrounded with an infinite elastic medium.…”

Section: Introductionmentioning

confidence: 99%

“…There are also a certain number of investigations (see, for instance, the investigations carried out in the papers [Hussein, François, Schevenels et al (2014); Yuan, Bostrom and Cai (2017)] and others listed therein) in which mathematical methods are developed for the solution to more complicated problems related to moving load dynamics acting in the interior of the hollow cylinder embedded in an infinite layered medium (see, for instance, the paper by Hussein et al [Hussein, François, Schevenels et al (2014)]) and semi-infinite homogeneous elastic mediums (see, for instance the paper by Yuan et al [Yuan, Bostrom and Cai (2017)]). Note that in these works, numerical results are presented only for the vibration of the surrounding mediums caused by the moving load.…”

Section: Introductionmentioning

confidence: 99%

Forced Vibration of the Non-Homogeneously Pre-Stressed System Consisting of the Hollow Cylinder and Surrounding Medium

Akbarov¹,

Bagirov²

2019

Computer Modeling in Engineering &Amp; Sciences

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The paper deals with the study of the influence of the non-homogeneous prestresses in the system consisting of the hollow cylinder and surrounding elastic medium on the frequency response of this system caused by the time-harmonic ring load acting in the interior of the cylinder. The axisymmetric problem is considered and it is assumed that in the initial state, the system is compressed in the radial direction with homogeneously distributed static forces as a result of which, non-homogeneous pre-stresses (or initial stresses) appear in that. It is also assumed that after these pre-stresses appear in the interior of the cylinder, the point-located (with respect to the axial coordinate directed along the cylinder's central axis) additional time-harmonic ring load acts. Thus, it is required to determine how the pre-stresses influence the frequency response of the system to the noted additional time-harmonic loading. This influence, which is the non-linear effect, is studied within the scope of the so-called three-dimensional linearized equations and relations of the theory of elastic waves in pre-stressed bodies. The solution to the corresponding boundary value problems is found by employing the discrete analytical solution method and numerical results on the influence of the pre-stresses on the frequency response of the interface stresses which appear as a result of the action of the additional time-harmonic forces, are presented and discussed. In particular, it is established that the pre-stresses mentioned above cause to decrease the magnitude of the interface dynamic stresses appearing as a result of the additional time-harmonic loading.

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“…2.5D models have received wide concern and many studies have been performed, including on the 2.5D finite/infinite element approach [35] and the 2.5D finite element coupled boundary element BEM model [36]. Other novel numerical methods, such as a closed-form semi-analytical solution in a half-space [37], have also been developed for the prediction of subway induced vibrations. 3D models have high accuracy, however, are more computationally expensive [38].…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation and In-Situ Measurement of Ground-Borne Vibration Due to Subway System

Yang

Lü

2018

Sustainability

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A coupled finite element–infinite element boundary method performed by the harmonic analysis based on the commercial software ABAQUS was verified by comparing it with the thin layer method to address the issue of subway induced vibration, a major environmental concern in urban areas. In addition, an interface program was developed to automatically read the simulation result files in the harmonic analysis, and then put the data into MATLAB, achieving the frequency domain analysis. Moreover, a site measurement was performed on a practical engineering track bed-tunnel lining-surrounding formation located on Line 2, Shanghai Metro and rich vibration data were acquired. Then, the corresponding simulation model was established and the numerical results were compared with the measured data based on the developed program, which was verified applicable for the practical engineering of subway induced vibration on the soft site. The proposed prediction formula of the vibration level, by comparison with the measurement, is applicable for the prediction in subway induced vibration. The results show that there exists a vibration amplifying zone a certain distance to the tunnel under high frequency loads due to the wave propagation and reflection. Finally, a parametric study was conducted in an elastic half-space simulation to investigate the influence of model widths and depths with infinite element boundary on the numerical results. The higher performance of the combined finite element–infinite element boundary method, which can decrease the model sizes in widths and heights 50% effectively, was demonstrated. Consequently, the coupled finite element–infinite element boundary method and developed frequency analysis with interface program provide rational numerical methods for the models of subway induced vibration.

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Benchmark solution for vibrations from a moving point source in a tunnel embedded in a half-space

Cited by 67 publications

References 25 publications

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

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

Forced Vibration of the Non-Homogeneously Pre-Stressed System Consisting of the Hollow Cylinder and Surrounding Medium

Numerical Simulation and In-Situ Measurement of Ground-Borne Vibration Due to Subway System

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