2017
DOI: 10.1002/nag.2758
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3D dynamic response of a transversely isotropic multilayered medium subjected to a moving load

Abstract: Summary The dynamic problem of a transversely isotropic multilayered medium is reducible to quasi‐static problem by introducing a moving system that travels synchronously with the load. Based on the governing equations in the moving system, the ordinary differential equations in the Fourier transformed domain are deduced. An extended precise integration method is adopted to solve the ordinary differential equations, and the solution in the physical domain is recovered by the inverse Fourier transform. Numerica… Show more

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Cited by 23 publications
(2 citation statements)
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“…For railway projects in cold regions, frost heave will significantly increase the dynamic response of trains and have a great impact on traffic safety [11][12][13][14]. In addition, in the field of vibration response analysis of embankment engineering in cold regions, the numerical simulation of traintrack-undertrack structures has received much attention in the past decades [15][16][17][18][19]. By establishing numerical models of train, track, embankment, and site composition, the finite element analysis method is used to study the influence of train load and train speed on the dynamic response of permafrost embankment.…”
Section: Introductionmentioning
confidence: 99%
“…For railway projects in cold regions, frost heave will significantly increase the dynamic response of trains and have a great impact on traffic safety [11][12][13][14]. In addition, in the field of vibration response analysis of embankment engineering in cold regions, the numerical simulation of traintrack-undertrack structures has received much attention in the past decades [15][16][17][18][19]. By establishing numerical models of train, track, embankment, and site composition, the finite element analysis method is used to study the influence of train load and train speed on the dynamic response of permafrost embankment.…”
Section: Introductionmentioning
confidence: 99%
“…Ai et al [21] and Ai and Li [22] proposed the analytical layer-element method to fnd the frequency domain solution for the crossanisotropic layered mediums and assembled the global stifness matrix of the half-space body in the cylindrical coordinate system. Later, Ai et al [23] further improved the method and obtained the dynamic response of an arbitrary 3-D crossanisotropic layered medium under moving loads. Ai et al [24] analyzed the dynamic response of crossanisotropic saturated media under circular moving loads, in which the vertical and tangential loads can be simultaneously considered.…”
Section: Introductionmentioning
confidence: 99%