Dynamic Modelling of Railway Track: A Periodic Model Based on a Generalized Beam Formulation

Gry, L.; Gontier, Camille

doi:10.1006/jsvi.1995.0671

Cited by 68 publications

(43 citation statements)

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“…systems that are composed of identical substructures along one main direction [12,23,6,9]. For any waveguide, numerical wave modes are calculated by solving an eigenproblem which follows from the consideration of the FE model of one substructure.…”

Section: Introductionmentioning

confidence: 99%

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New advances in the forced response computation of periodic structures using the wave finite element (WFE) method

Mencik

2014

Comput Mech

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The wave finite element (WFE) method is investigated to describe the harmonic forced response of onedimensional periodic structures like those composed of complex substructures and encountered in engineering applications. The dynamic behavior of these periodic structures is analyzed over wide frequency bands where complex spatial dynamics, inside the substructures, are likely to occur. Within the WFE framework, the dynamic behavior of periodic structures is described in terms of numerical wave modes. Their computation follows from the consideration of the finite element model of a substructure that involves a large number of internal degrees of freedom. Some rules of thumb of the WFE method are highlighted and discussed to circumvent numerical issues like ill-conditioning and instabilities. It is shown for instance that an exact analytic relation needs to be considered to enforce the coherence between positive-going and negative-going wave modes. Besides, a strategy is proposed to interpolate the frequency response functions of periodic structures at a reduced number of discrete frequencies. This strategy is proposed to tackle the problem of large CPU times involved when the wave modes are to be computed many times. An error indicator is formulated which provides a good estimation of the level of accuracy of the interpolated solutions at intermediate points.Adaptive refinement is carried out to ensure that this error indicator remains below a certain tolerance threshold. Numerical experiments highlight the relevance of the proposed approaches.

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Section: Introductionmentioning

confidence: 99%

“…In [13], an analytical relation has been proposed (see also [6,9]) which strictly enforces the coherence between wave modes traveling in positive and negative directions. Without that relation, the accuracy of the WFE method cannot be guaranteed as numerical dispersion and instabilities are likely to occur.…”

Section: Introductionmentioning

confidence: 99%

New advances in the forced response computation of periodic structures using the wave finite element (WFE) method

Mencik

2014

Comput Mech

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“…The WFE method is nothing else but a transfer matrix method which, once combined with the Bloch theorem, provides wave modes which propagate along periodic structures, i.e., structures composed of identical substructures along a straight or circumferential direction (see [3,4,5,6,7,8,9,10,11]). The WFE method has been further used to describe the dynamic response of periodic structures.…”

Section: Introductionmentioning

confidence: 99%

A Wave Finite Element Strategy to Compute the Dynamic Flexibility Modes of Structures With Cyclic Symmetry and Its Application to Domain Decomposition

Mencik¹

2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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“…With the finite element method (FEM) involved, the transfer matrix method can account for more complex structures but leads to heavy computations because of the necessary longitudinal discretization. In addition to that the eigenvalue equation may become ill-conditioned due to the presence of evanescent waves with high vibration decay rates, as noted by Gry and Gontier [3,4] when dealing with vibrations of a rail on periodic supports at acoustic frequencies. One of the measures to overcome these shortcomings is given in these two references in which displacement variation of the rail in the longitudinal direction is synthesized using some sort of modes.…”

Section: Introductionmentioning

confidence: 99%

Generalization of the Fourier transform-based method for calculating the response of a periodic railway track subject to a moving harmonic load

Sheng

2015

J. Mod. Transport.

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Dynamic Modelling of Railway Track: A Periodic Model Based on a Generalized Beam Formulation

Cited by 68 publications

References 0 publications

New advances in the forced response computation of periodic structures using the wave finite element (WFE) method

New advances in the forced response computation of periodic structures using the wave finite element (WFE) method

A Wave Finite Element Strategy to Compute the Dynamic Flexibility Modes of Structures With Cyclic Symmetry and Its Application to Domain Decomposition

Generalization of the Fourier transform-based method for calculating the response of a periodic railway track subject to a moving harmonic load

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