Response of a layered viscoelastic half-space to a moving point load

Barros, F.C.P. de; Luco, J. Enrique

doi:10.1016/0165-2125(94)90066-3

Cited by 135 publications

(72 citation statements)

References 19 publications

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“…Alabi (cf [1] and [2]) has studied the effects of a line load on the surface of the ground and shown the high levels of vertical displacement on the surface. In order to take layered ground into account, De Barros and Luco (cf [3] and [4]) have developed a semi-analytical model for a point load moving on a viscoelastic multilayered half-space (details in [5]), using the determination and combination of stiffness matrices obtained for each layer. This model is based on a double Fourier transform and shows the presence of Mach cones in the first layer for super-Rayleigh speeds.…”

Section: Review Of Published Resultsmentioning

confidence: 99%

Diagnosis and prediction of vibration from railway trains

Picoux¹,

Houédec

2005

Soil Dynamics and Earthquake Engineering

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In the North West of France, more particularly in the region of the Somme Bay, where the ground is constituted mainly of peat, observation of the surface of the soil near railway tracks has revealed high levels of displacement. This paper, contains a prediction model and diagnosis of vibration near the track. A model of a railway track on layered ground subjected to a moving train has been built and the calculation method uses Fourier transform formalism for a semi-analytical solution in the wave number domain. It includes all elements of the track and allows a parametric analysis of its different elements and evaluation of vertical displacement according to the speed, weight and composition of each train. The diagnosis has been performed with in situ measurements and with the aim of the validation of the model. A parameter study of the ground undertaken by seismic measurements shows a critical speed close to 100 m/s while the studied trains are moving with subRayleigh speeds. Measurements give us a lot of information about lateral and vertical acceleration on the soil's surface and parts of the track. For high speeds and freight trains, displacement reaches more than 10 mm.

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Section: Review Of Published Resultsmentioning

confidence: 99%

Diagnosis and prediction of vibration from railway trains

Picoux¹,

Houédec

2005

Soil Dynamics and Earthquake Engineering

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“…The larger estimates are based on the assumption that vehicles consistently apply their peak wheel loads in the same areas of the pavement. Theoretical studies by Cole [15] and Hardy and Cebon [16] confirmed that for typical highway traffic, certain areas of the pavement surface always suffered the largest wheel forces, even when the vehicles had a wide range of different suspension systems, payloads, and speeds.…”

Section: Introductionmentioning

confidence: 95%

An overview of a unified theory of dynamics of vehicle–pavement interaction under moving and stochastic load

Sun

2013

J. Mod. Transport.

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This article lays out a unified theory for dynamics of vehicle-pavement interaction under moving and stochastic loads. It covers three major aspects of the subject: pavement surface, tire-pavement contact forces, and response of continuum media under moving and stochastic vehicular loads. Under the subject of pavement surface, the spectrum of thermal joints is analyzed using Fourier analysis of periodic function. One-dimensional and two-dimensional random field models of pavement surface are discussed given three different assumptions. Under the subject of tire-pavement contact forces, a vehicle is modeled as a linear system. At a constant speed of travel, random field of pavement surface serves as a stationary stochastic process exciting vehicle vibration, which, in turn, generates contact force at the interface of tire and pavement. The contact forces are analyzed in the time domain and the frequency domains using random vibration theory. It is shown that the contact force can be treated as a nonzero mean stationary process with a normal distribution. Power spectral density of the contact force of a vehicle with walking-beam suspension is simulated as an illustration. Under the subject of response of continuum media under moving and stochastic vehicular loads, both time-domain and frequency-domain analyses are presented for analytic treatment of moving load problem. It is shown that stochastic response of linear continuum media subject to a moving stationary load is a nonstationary process. Such a nonstationary stochastic process can be converted to a stationary stochastic process in a follow-up moving coordinate.

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“…Payton [5], and Gakenheimer and Miklowitz [6] obtained soil surface and internal displacements, respectively, when a point load is suddenly applied and then travels at constant speed over an elastic half-space surface. Fryba obtained in 1972 the stationary solution for this problem and Barros et al [8] for a layered half-space. More recently, using Lamb's solution, Barber [9] obtained closed form expressions for normal soil surface displacements due to a point load travelling at constant speed from infinity.…”

Section: Introductionmentioning

confidence: 99%

Analysis of ground motion due to moving surface loads induced by high-speed trains

Galvín

Domínguez

2007

Engineering Analysis with Boundary Elements

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A three dimensional time domain boundary element approach for the analysis of soil vibrations induced by high-speed moving loads is presented in this paper. An attenuation law is included in the formulation. By doing so, internal material damping can be taken into account. The characteristics of the BE model required for the study of travelling load problems are analyzed. Thus, mesh size, type of elements, internal damping representation, and the complete numerical approach are validated. Existing analytical solutions for some simple problems are used as a reference. Experimental results measured in a simple soil dynamic load problem are also accurately reproduced by the proposed model. The analysis of the type of BE mesh required for a good representation of high-speed train effects is carried out using different discretizations under the sleepers and the free field near the track. All these analyses allow to define a model very well suited for the study of soil vibration effects due to high-speed train passage. Vibrations produced by an Alstom (Thalys-AVE) train travelling at 256 km/h and 300 km/h speed are evaluated at different locations near the track. Results show that the proposed numerical procedure and attenuation law allow for a realistic representation of the effects of the different passing loads. The BE approach presented in this paper can be used for actual analyses of high-speed trains induced vibrations. Layered soils, ballast or coupled vibrations of nearby structure can be included in the model in a straightforward manner.

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Response of a layered viscoelastic half-space to a moving point load

Cited by 135 publications

References 19 publications

Diagnosis and prediction of vibration from railway trains

Diagnosis and prediction of vibration from railway trains

An overview of a unified theory of dynamics of vehicle–pavement interaction under moving and stochastic load

Analysis of ground motion due to moving surface loads induced by high-speed trains

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