Dynamic analysis of three-dimensional high-speed train-track model using moving element method

Abstract

In this article, the dynamic analysis of three-dimensional high-speed train-track model is carried out using moving element method. The train comprises a car-body supported by a secondary suspension system to a bogie. The bogie is in turn connected to wheel-sets through a primary suspension system. A total of 16 degrees of freedom is employed to describe the vertical, lateral, rolling, pitching, and yawing displacements of the car-body, the bogie, and the wheel-sets. The Hertzian contact and Kalker's linear theory are used to account for the vertical and lateral contact forces between the wheels and rails. Two rails are modeled as two Euler-Bernoulli beams resting on a viscoelastic foundation. The moving element method is extended to establish the coupling formulations of the mass, damping, and stiffness matrices in vertical and lateral directions, where the element matrices are formulated based on a convected coordinate system attached to the moving vehicle. The dynamic amplification factor is defined as the ratio of the maximum dynamic contact force to the static load at the contact point between the wheel and the rail. To illustrate the benefits of the proposed threedimensional train-track model, several numerical examples are performed in this study to present the effects of the train speed, the resonance phenomenon, the track irregularity, and track stiffness variations along the track and across the track width on the dynamic amplification factor of the high-speed train.

Dynamic Responses of Padma Multipurpose Bridge Truss due to Moving Train Load

“…Fast-moving loads like high-speed train loads could cause excessive vibration on the supporting structural system during movement, which yields substantial dynamic stresses to the supporting columns (Cao et al, 2018). The dynamic responses caused by the moving train may amplify the structural responses of the support structures, which could cause discomfort to the passengers.…”

Simulation study on the influence of wheel irregularity on the vertical dynamics of wheel–rail interaction for high-speed railway track using bond graph

“…The accuracy of the simulation result was validated by the Baeza et al’s 24 non-Hertzian contact model under the high-speed range. Employing the Hertzian contact theory and the Kalker linear theory, Cao et al 25 have explored the vertical and lateral dynamics of 16-degree-of-freedom (16-DOF) vehicle and track models. For calculating the dynamic response of the high-speed train, all train part movements and effects of track irregularities, and disparity of track stiffness over the track width were recorded using the moving element method (MEM).…”

A multi-layer moving plate method for dynamic analysis of viscoelastically connected double-plate systems subjected to moving loads

“…On the same thread, the extensions of MEM for dynamic analysis of high-speed train-track system in various situations involving the train moving at non-uniform speeds, the train experiencing heavy braking and abrupt braking, the train traveling over a discretely supported track and unsupported sleepers were also performed in the studies of Tran et al (2014, 2016, 2017a, 2017b), Dai et al (2018a, 2018b). More recently, Cao et al (2018a) developed a three-dimensional high-speed train-track model using the MEM for dynamic analysis of train-track system. For two-dimensional problems, Koh et al (2006, 2007) developed the MEM to investigate the in-plane dynamic responses of an annular disk and a half-space continuum under moving load, respectively.…”