Transition radiation in an infinite one-dimensional structure interacting with a moving oscillator—the Green’s function method

Faragau, A.B.; Mazilu, Traian; Metrikine, Andrei V.; Lü, Tao; Dalen, Karel N. van

doi:10.1016/j.jsv.2020.115804

Cited by 17 publications

(11 citation statements)

References 42 publications

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“…For the discretely supported string, however, waves are excited from the load every time it passes a support. In the case of a single support, the load generates a continuous wave spectrum when it passes it; this phenomenon is called transition radiation [25–30]. In the periodic system, the waves generated at each support interfere (constructively for some frequencies and destructively for others) leading to a discrete frequency spectrum of the radiated waves; this phenomenon is sometimes called resonance transition radiation [26] because the constructive interference of the radiated waves leads to resonance for some system parameters.…”

Section: Homogeneous Systemmentioning

confidence: 99%

“…Nonetheless, if the load enters far away to the left of the transition zone and if the system has damping, the response in the transition zone should be in the steady state. (This shortcoming could be avoided by imposing the steady state as initial conditions of the system (see Fărăgău et al [29]); this is not done here because the computational cost of the above-mentioned procedure is very low. )…”

Section: Inhomogeneous Systemmentioning

confidence: 99%

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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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Section: Homogeneous Systemmentioning

confidence: 99%

Section: Inhomogeneous Systemmentioning

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

Self Cite

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“…In the case of analytical and semi-analytical methods, the rail can be modelled using Euler-Bernoulli beam theory [ 19 , 20 ] or Timoshenko beam theory [ 21 , 22 ]. There are two approaches: either the beam is finite, in which case the modal analysis method is applied to obtain time-domain simulations [ 23 ], or the beam is infinite, which has the advantage of eliminating the effect of the waves which are reflected from the edges of the model [ 24 ].…”

Section: Introductionmentioning

confidence: 99%

Parametric Study of the Influence of Nonlinear Elastic Characteristics of Rail Pads on Wheel–Rail Vibrations

2023

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The rail pad is the elastic element between the rail and the sleeper that has the role of absorbing the mechanical stresses from the rail and reducing the vibrations and shocks generated by wheel–rail interactions. In this paper, the problem of the influence of the variability of the nonlinear load-deformation characteristic of rail pads (resulting from the manufacturing process) on wheel–rail vibrations is investigated. The limit load-deformation characteristics of a manufactured rail pad and the medium load-deformation characteristic resulting as the arithmetic mean of the two are considered. The nonlinear load-deformation characteristic of the ballast is also considered. All these characteristics are approximated with the help of the bilinear function and are implemented in a track model consisting of an infinite Euler-Bernoulli beam placed on a two-elastic layer continuous foundation with inertial insertion, resulting in a model with an inhomogeneous foundation. The parameters of the inhomogeneous foundation are established from the equilibrium condition under a static load. Wheel–rail vibrations are studied in terms of the contact force and the acceleration of the rail and wheel. The influence of the variability of the elastic characteristics of the rail pad manifests itself in the field of medium frequencies, which amplify or attenuate the vibration levels in certain bands of one-third of an octave.

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“…To account for the flexural rigidity, transition radiation in a beam resting on Winkler foundation was analyzed in [11][12][13]. More recently, studies in this field have been extended to consider a 2D continuum [14], nonlinear elastoplastic foundation [8], vehicle inertia [15], and sleeper periodicity [16]. In general, results show that the effect of stiffness variations increases with the train speed.…”

Section: Introductionmentioning

confidence: 99%

Optimal design of rail level crossings and associated transition zones using adaptive surrogate-assisted optimization

Shang

Nogal

Teixeira

et al. 2023

Engineering Structures

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Transition radiation in an infinite one-dimensional structure interacting with a moving oscillator—the Green’s function method

Cited by 17 publications

References 42 publications

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

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

Parametric Study of the Influence of Nonlinear Elastic Characteristics of Rail Pads on Wheel–Rail Vibrations

Optimal design of rail level crossings and associated transition zones using adaptive surrogate-assisted optimization

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