Prediction of railway induced ground vibration through multibody and finite element modelling

Abstract. The multibody approach is now recognized as a reliable and mature computer aided engineering tool. Namely, it is commonly used in industry for the design of road or railway vehicles. The paper presents a framework developed for predicting the vibrations induced by railway transportation. Firstly, the vehicle/track subsystem is simulated, on the basis of the home-made C++ library EasyDyn, by mixing the multibody model of the vehicle and the finite element model of the track, coupled to each other through the wheel/rail contact forces. Only the motion in the vertical plane is considered, assuming a total symmetry between left and right rails. This first step produces the time history of the forces exerted by the ballast on the foundation, which are then applied to a full 3-D FEM model of the soil, defined under the commercial software ABAQUS. The paper points out the contribution of the pitch motion of the bogies and carbodies which were neglected in previous publications, as well as the interest of the so-called coupled-lumped mass model (CLM) to represent the influence of the foundation in the track model. The potentialities of the model are illustrated on the example of the Thalys high-speed train, riding at 300 km h−1 on the Belgian site of Mevergnies.

[1]  Vijay K. Garg Chapter 9 – Train Dynamics , 1984 .

[2]  V K Garg,et al.  Dynamics of railway vehicle systems , 1984 .

[3]  Ahmed A. Shabana,et al.  Dynamics of Multibody Systems , 2020 .

[4]  M. Hiller,et al.  Numerical simulation of mechanical systems using methods for differential‐algebraic equations , 1991 .

[5]  Manfred Hiller,et al.  Dynamics of multibody systems with minimal coordinates , 1993 .

[6]  Klaus Knothe,et al.  Modelling of Railway Track and Vehicle/Track Interaction at High Frequencies , 1993 .

[7]  J. J. Silva Acoustic and elastic wave scattering using boundary elements , 1994 .

[8]  Wanming Zhai,et al.  A Detailed Model for Investigating Vertical Interaction between Railway Vehicle and Track , 2021, The Dynamics of Vehicles on Roads and on Tracks.

[9]  Javier García de Jalón,et al.  Kinematic and Dynamic Simulation of Multibody Systems , 1994 .

[10]  Javier García de Jalón,et al.  Kinematic and Dynamic Simulation of Multibody Systems: The Real Time Challenge , 1994 .

[11]  A. Kaynia,et al.  Ground vibration from high-speed trains: Prediction and countermeasure , 2000 .

[12]  M. Géradin,et al.  Flexible Multibody Dynamics: A Finite Element Approach , 2001 .

[13]  A. Peplow,et al.  Surface vibration due to a sequence of high speed moving harmonic rectangular loads , 2002 .

[14]  Xiangwu Zeng,et al.  Numerical Simulations of Vibration Attenuation of High-Speed Train Foundations With Varied Trackbed Underlayment Materials , 2004 .

[15]  Hirokazu Takemiya,et al.  Substructure Simulation of Inhomogeneous Track and Layered Ground Dynamic Interaction under Train Passage , 2005 .

[16]  Xiangwu Zeng,et al.  Dynamic response of high-speed rail foundations using linear hysteretic damping and frequency domain substructuring , 2008 .

[17]  J. Domínguez,et al.  Experimental and numerical analyses of vibrations induced by high-speed trains on the Córdoba–Málaga line , 2009 .

[18]  Georges Kouroussis,et al.  Ground propagation of vibrations from railway vehicles using a finite/infinite-element model of the soil , 2009 .

[19]  G. Lombaert,et al.  A 2.5D coupled FE-BE methodology for the dynamic interaction between longitudinally invariant structures and the soil , 2009 .

[20]  Shen-Haw Ju,et al.  Finite element investigation of traffic induced vibrations , 2009 .

[21]  Georges Kouroussis,et al.  On the interest of integrating vehicle dynamics for the ground propagation of vibrations: the case of urban railway traffic , 2010 .

[22]  Olivier A. Bauchau,et al.  Flexible multibody dynamics , 2010 .

[23]  Bauchau Olivier,et al.  Flexible Multibody Dynamics , 2010 .

[24]  Georges Kouroussis,et al.  Discrete modelling of vertical track–soil coupling for vehicle–track dynamics , 2011 .

[25]  Georges Kouroussis,et al.  Free field vibrations caused by high-speed lines: Measurement and time domain simulation , 2011 .

[26]  Georges Kouroussis,et al.  Prediction of Environmental Vibrations Induced by Railway Traffic using a Three-Dimensional Dynamic Finite Element Analysis , 2011 .

[27]  Georges Kouroussis,et al.  A two-step time simulation of ground vibrations induced by the railway traffic , 2012 .

[28]  Georges Kouroussis,et al.  Influence of some vehicle and track parameters on the environmental vibrations induced by railway traffic , 2012 .

[29]  Georges Kouroussis,et al.  Efficiency of resilient wheels on the alleviation of railway ground vibrations , 2012 .

[30]  Rui Calçada,et al.  Influence of train dynamic modelling strategy on the prediction of track–ground vibrations induced by railway traffic , 2012 .

[31]  Georges Kouroussis,et al.  Investigating the influence of soil properties on railway traffic vibration using a numerical model , 2013 .

[32]  Georges Kouroussis,et al.  Symbolic generation of the kinematics of multibody systems in EasyDyn: From MuPAD to Xcas/Giac , 2013 .

[33]  David Connolly,et al.  Numerical modelling of ground borne vibrations from high speed rail lines on embankments , 2013 .