Experimental validation of wavelet based solution for dynamic response of railway track subjected to a moving train

Koziol, Piotr

doi:10.1016/j.ymssp.2016.02.058

Cited by 18 publications

(36 citation statements)

References 14 publications

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“…These solutions can be successfully used in parametrical analysis when one takes into account engineering applications. They have been also verified by experimental measurements [10,12]. In the case of stresses produced by dynamic excitations, the problem of analytical modelling becomes more difficult.…”

Section: Examples and Discussionmentioning

confidence: 77%

“…In the case of stresses produced by dynamic excitations, the problem of analytical modelling becomes more difficult. [6,[10][11][12], although it is neglected in this paper for calculation of normal bending stress. It is assumed that the part of load P D (see eq.…”

Section: Examples and Discussionmentioning

confidence: 99%

“…The axles configuration can be also introduced by inclusion of the phase shift associated with the wheel position on the cosine shape of irregularity [3,10].…”

Section: Railway Track Modelled By Differential Equationsmentioning

confidence: 99%

“…It deals also with the assumed nonlinearity of foundation stiffness. The cubic term representing nonlinearity can be expanded by Adomian polynomials [5,6,10]:…”

Section: Solutionmentioning

confidence: 99%

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Analytical approximation of rail bending stress

Koziol

2018

MATEC Web Conf.

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Abstract. Phenomena associated with railway dynamics are usually analysed by using numerical approaches due to high computational complexity of such systems. However, classical methods based on analytical modelling are still highly valued and desirable by researchers and railway industry. This paper presents analytical solution representing dynamic response of railway track due to moving train in the case of nonlinear foundation. In published papers, one can find analyses of various characteristics such as velocity and acceleration of vibrations of track layers or bending moments of rails. The approach applied in this paper uses the Fourier transform combined with wavelet based approximation applied to the systems of infinitely long beams. The system of Euler-Bernoulli beams resting on viscoelastic foundation represents two-layer model (or one-layer model) of railway track, commonly used in engineering studies. It is shown that although both methods give good results for displacements, analysis of other characteristics, involving derivatives of higher orders, might lead to wrong results, even in the linear case. Possible reasons of this problem are pointed out. Some modifications of the known dynamic railway track models are proposed for further work.

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Section: Examples and Discussionmentioning

confidence: 77%

Section: Examples and Discussionmentioning

confidence: 99%

“…The axles configuration can be also introduced by inclusion of the phase shift associated with the wheel position on the cosine shape of irregularity [3,10].…”

Section: Railway Track Modelled By Differential Equationsmentioning

confidence: 99%

“…It deals also with the assumed nonlinearity of foundation stiffness. The cubic term representing nonlinearity can be expanded by Adomian polynomials [5,6,10]:…”

Section: Solutionmentioning

confidence: 99%

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Analytical approximation of rail bending stress

Koziol

2018

MATEC Web Conf.

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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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Nonlinear “Beam Inside Beam” Model Analysis by Using a Hybrid Semi-analytical Wavelet Based Method

Koziol

2022

Mechanisms and Machine Science

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Experimental validation of wavelet based solution for dynamic response of railway track subjected to a moving train

Cited by 18 publications

References 14 publications

Analytical approximation of rail bending stress

Analytical approximation of rail bending stress

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

Nonlinear “Beam Inside Beam” Model Analysis by Using a Hybrid Semi-analytical Wavelet Based Method

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