Response of a periodically supported beam on a nonlinear foundation subjected to moving loads

Hoang, Tien; Duhamel, Denis; Forêt, Gilles; Yin, Haiping; Cumunel, Gwendal

doi:10.1007/s11071-016-2936-5

Cited by 12 publications

(8 citation statements)

References 19 publications

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“…By using a harmonic balance method, Hoang et al (2018) solved the same problem with an iteration procedure. Moreover, Hoang et al (2016Hoang et al ( , 2017) demonstrated a relation between the reaction force of the support applied on the beam and its displacement in the frequency domain. This relation can be held for any types of support.…”

Section: Calculation Of the Dynamic Responses Of A Railway Track On A...mentioning

confidence: 99%

Calculation of the dynamic responses of a railway track on a non-uniform foundation

Tran

Hoang

Forêt

et al. 2022

Journal of Vibration and Control

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The dynamic response of a railway track has been investigated by analytical or numerical models. When rail supports (sleepers) or foundation contain defects, the damage reduces stiffness and the track becomes non-uniform. This paper presents a new analytical model to calculate the dynamic responses of a railway track on a non-uniform foundation. In this model, the rail is considered as an infinite beam resting on equidistant supports and subjected to moving forces. The sleepers responses are stable provided that there is a sufficiently large distance between the applied forces and the defective area. By combining this condition and the dynamic equation of the beam, we can deduce a relation between the reaction forces in the supports and the displacement of the beam. This relation does not depend on supports and foundation behaviors. Hence, we can calculate the dynamic response of the track by using the constitutive laws of the supports. The responses can be obtained finally with direct or with iterative techniques. The numerical examples show that a defective zone causes an increase in the rail displacement at the defective zone and overloads the neighbor supports.

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Section: Calculation Of the Dynamic Responses Of A Railway Track On A...mentioning

confidence: 99%

Calculation of the dynamic responses of a railway track on a non-uniform foundation

Tran

Hoang

Forêt

et al. 2022

Journal of Vibration and Control

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“…Influence of non-homogeneous foundations on the dynamic responses of railway sleepers 3 of the track support system on the overall behavior has been demonstrated by Sadeghi and Fesharaki. 13 In this work, the track response was calculated at any time step from the responses obtained for the previous step by an iteration method which is presented by Morino et al 14 In 2016, Hoang et al 15 used a harmonic balance method for periodically supported beams on a nonlinear foundation. Recently, Yang et al 16 developed an explicit periodic nonlinear model for damaged foundations which has been validated by FEM methods and the in-situ measurements.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

Influence of Non-Homogeneous Foundations on the Dynamic Responses of Railway Sleepers

Tran

Hoang

Duhamel

et al. 2020

Int. J. Str. Stab. Dyn.

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In a railway track, the sleeper’s responses on a non-homogeneous foundation have been investigated by researchers focusing on the foundation behavior along the rails. However, the foundation can also vary along the sleeper length, particularly when the track is newly tamped. The foundation at the sleeper center is often weaker than those under the rails and this non-homogeneity directly affects the sleeper responses. This paper presents a new model to calculate the influence of such foundations on the dynamic responses of the railway sleepers. This model is developed by combining a finite element model for the sleepers and foundation and a model of periodically supported beams subjected to moving loads for the rails. In this paper, the foundation contains three parts with different mechanical behaviors. The sleeper’s responses can be calculated by transforming the finite-element dynamic stiffness matrix to the one considering the boundary conditions and the relation between the rail seat forces and rail displacements governed by the beam model. This method reduces all the degrees of freedom of the railway track to its one period which gives a substantial reduction in computational time. The numerical applications show that the more homogeneous (so-called consolidated) the foundation is, the larger the sleeper strain is at its center. This result shows the potential application of the sleeper responses to estimating the consolidation level of the foundation.

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“…Vesnitskii and Metrikin [9,10] offered an extensive investigation into the behaviour of a periodically and discretely supported string acted upon by a moving load. More recently, there have been numerous studies of periodic guideways acted upon by vehicles, for example [11][12][13][14][15][16][17], and also numerous studies focusing on the vehicle instability caused by the periodic nature of the guideway (i.e. parametric instability or sometimes called parametric resonance), for example [18,19].…”

Section: Introductionmentioning

confidence: 99%

Dynamic amplification in a periodic structure with a transition zone subject to a moving load: Three different phenomena

Faragau

Barbosa

Metrikine

et al. 2022

Mathematics and Mechanics of Solids

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The study of periodic systems under the action of moving loads is of high practical importance in railway, road, and bridge engineering, among others. Even though plenty of studies focus on periodic systems, few of them are dedicated to the influence of a local inhomogeneous region, a so-called transition zone, on the dynamic response. In railway engineering, these transition zones are prone to significant degradation, leading to more maintenance requirements than the rest of the structure. This study aims to identify and investigate phenomena that arise due to the combination of periodicity and local inhomogeneity in a system acted upon by a moving load. To study such phenomena in their purest form, a one-dimensional model is formulated consisting of a constant moving load acting on an infinite string periodically supported by discrete springs and dashpots, with a finite domain in which the stiffness and damping of the supports is larger than for the rest of the infinite domain; this model is representative of a catenary system (overhead wires in railway tracks). The identified phenomena can be considered as additional constraints for the design parameters at transition zones such that dynamic amplifications are avoided.

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Response of a periodically supported beam on a nonlinear foundation subjected to moving loads

Cited by 12 publications

References 19 publications

Calculation of the dynamic responses of a railway track on a non-uniform foundation

Calculation of the dynamic responses of a railway track on a non-uniform foundation

Influence of Non-Homogeneous Foundations on the Dynamic Responses of Railway Sleepers

Dynamic amplification in a periodic structure with a transition zone subject to a moving load: Three different phenomena

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