Dynamic response of ladder track rested on stochastic foundation under oscillating moving load

Mohammadzadeh, Saeed; Mehrali, Mohammad

doi:10.15632/jtam-pl.55.1.281

Cited by 7 publications

(4 citation statements)

References 25 publications

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“…The response of beam on randomly varying foundation stiffness was studied by. [6][7][8][9][10][11] Many researchers have also considered a deterministic (i.e. non-random) variation of foundation stiffness.…”

Section: Introductionmentioning

confidence: 99%

“…Researchers have discussed the use of several techniques for analyzing the BEF problem. Some of the frequently used analytical techniques are Fourier transform 4,11,26 and steady state solution. 16,27 While these methods are most commonly used for the uniform foundation case, they become more involved if a variation in foundation stiffness is included in the analysis.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic analysis of railway track on variable foundation under harmonic moving load

Phadke

Jaiswal

2021

Proceedings of the Institution of Mechanical Engineers, Part F:

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This paper aims to investigate the effect of variable foundation stiffness on the dynamic response of an infinite railway track under the action of a harmonic moving load. In this study, harmonic variation in the foundation stiffness along the track length is considered. Here, the dynamic response of the finite element (FE) model is obtained with the help of Newmark Beta method using programming in MATLAB. It is ascertained that in the central region of the long FE model, the response is repetitive, thereby ensuring that boundary conditions do not influence the response in the central region. In this problem, two frequencies, i.e. frequency of moving load and the spatial frequency of variable foundation stiffness, are involved. Their combined influence on the dynamic characteristics such as resonant frequency, critical velocity, displacement time history, displacement below load, and bifurcation curve are investigated. It is shown that the dynamic response is qualitatively and quantitatively affected by the wavelength (λ) and amplitude (ε) of the variation of foundation stiffness. It is also shown that the important dynamic properties, i.e., the critical velocity and the resonant frequency reduce with the increase in wavelength of stiffness variation. This reduction is significant for the large amplitude of harmonic stiffness variation.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of railway track on variable foundation under harmonic moving load

Phadke

Jaiswal

2021

Proceedings of the Institution of Mechanical Engineers, Part F:

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“…Vibration of a discrete and continuous system under constant moving loads was studied by Kumaniecka and Prącik (2015). Moreover, the effect of load velocity and load frequency was assessed through analytical solutions by Mohammadzadeh and Mehrali (2017). The aforementioned works were based on analytical models for prediction of railway induced vibrations in floating ladder tracks.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation on train-induced environmental vibration in floating ladder tracks

Zakeri¹,

Ebrahimi-Gholami²,

Liravi³

et al. 2020

Journal of Theoretical and Applied Mechanics

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A floating ladder track is established in the present paper as a next-generation non-ballasted track system. The three-dimensional model consists of a track (mass-spring-damping system) and the underlying soil. Rectangular pulse loading with an amplitude of 60 kN is considered as the wheel loading system. A time domain coupled finite element with a semi-infinite absorbing boundary condition is employed using FEM software. Due to axial symmetry of the model instead of the track axle, only half of the model is simulated. It is observed that the performance of the floating ladder track is better in mitigating measured vibration than that of the traditional ballasted track. Numerical results of the floating ladder track reveal that the increase of damping and stiffness yields more vibration responses, which is a straight nonlinear relationship. Although increasing density of the protective layer decreases vibrations on the ground, it has no effect on structural components of the track except for the protective layer. Furthermore, this kind of track is more effective at a closer distance to the source of vibrations.

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“…(1) Analysis of Timoshenko beam under moving constant and varying loads (presented, e.g., in [6][7][8][9]) (2) Analysis of a beam on elastic half-space [10,11] (3) Response of beam on nonlinear foundation (e.g., [8,[12][13][14]) (4) Dynamic response of beam on random foundation; see [15][16][17] (5) Dynamic response of track as multilayered structure (see [18,19], analytical approach; [20][21][22], numerical approach); (6) Analysis of set of distributed moving forces, described by Heaviside functions (e.g., [7]), rectangular function [9,19], cosine square formula [8,12,13], or Gauss function [19] (7) Effect of axial force on dynamic response [19,23] (8) Analysis of set of forces varying harmonically and associated with track imperfections including the phase of sine function for particular axles (numerically [20][21][22]) and analytical approach [13,19] 2 Shock and Vibration…”

Section: Introductionmentioning

confidence: 99%

On the Equivalence between Static and Dynamic Railway Track Response and on the Euler-Bernoulli and Timoshenko Beams Analogy

Czyczuła

Koziol

Błaszkiewicz

2017

Shock and Vibration

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The paper tries to clarify the problem of solution and interpretation of railway track dynamics equations for linear models. Set of theorems is introduced in the paper describing two types of equivalence: between static and dynamic track response under moving load and between the dynamic response of track described by both the Euler-Bernoulli and Timoshenko beams. The equivalence is clarified in terms of mathematical method of solution. It is shown that inertia element of rail equation for the Euler-Bernoulli beam and constant distributed load can be considered as a substitute axial force multiplied by second derivative of displacement. Damping properties can be treated as additional substitute load in the static case taking into account this substitute axial force. When one considers the Timoshenko beam, the substitute axial force depends additionally on shear properties of rail section, rail bending stiffness, and subgrade stiffness. It is also proved that Timoshenko beam, described by a single equation, from the point of view of solution, is an analogy of the Euler-Bernoulli beam for both constant and variable load. Certain numerical examples are presented and practical interpretation of proved theorems is shown.

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Dynamic response of ladder track rested on stochastic foundation under oscillating moving load

Cited by 7 publications

References 25 publications

Dynamic analysis of railway track on variable foundation under harmonic moving load

Dynamic analysis of railway track on variable foundation under harmonic moving load

Numerical investigation on train-induced environmental vibration in floating ladder tracks

On the Equivalence between Static and Dynamic Railway Track Response and on the Euler-Bernoulli and Timoshenko Beams Analogy

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