The experimental validation of a numerical model for the prediction of railway induced vibrations

Abstract This paper presents the experimental validation of a numerical model for the prediction of train induced vibrations. The model fully accounts for the dynamic interaction between the train, the track and the soil. The track geometry is assumed to be invariant with respect to the longitudinal direction, which allows for an efficient solution of the dynamic track–soil interaction problem in the frequency–wavenumber domain. The model is validated by means of several experiments that have been performed at the occasion of the homologation tests of the new HST track on the line L2 between Brussels and Koln. A first set of experiments is used to determine the dynamic soil and track characteristics. In a second set of experiments, the soil transfer functions, the track–soil transfer functions and the track and free field vibrations during the passage of a Thalys high speed train have been measured. These results are used for a step-wise validation of the numerical model that is based on the identified model parameters and allows to study the propagation of errors in the prediction model.

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

[2]  Manfred Heckl,et al.  STRUCTURE-BORNE SOUND AND VIBRATION FROM RAIL TRAFFIC , 1996 .

[3]  Nils-Erik Wiberg,et al.  Wave Propagation Related to High-Speed Train - a Scaled Boundary FE-approach for Unbounded Domains , 2002 .

[4]  Chris Jones,et al.  Ground vibration generated by a harmonic load acting on a railway track , 1999 .

[5]  Lutz Auersch,et al.  Wave propagation in layered soils : theoretical solution in wavenumber domain and experimental results of hammer and railway traffic excitation , 1994 .

[6]  G. Lombaert,et al.  Experimental validation of a numerical prediction model for free field traffic induced vibrations by in situ experiments , 2001 .

[7]  Geert Lombaert,et al.  Numerical Modelling of Traffic Induced Vibrations , 2001 .

[8]  R. J. Apsel,et al.  On the Green's functions for a layered half-space. Part II , 1983 .

[9]  Klaus Knothe,et al.  Receptance behaviour of railway track and subgrade , 1998 .

[10]  Hem Hunt MODELLING OF RAIL VEHICLES AND TRACK FOR CALCULATION OF GROUND-VIBRATION TRANSMISSION INTO BUILDINGS , 1996 .

[11]  S. N. Veritchev Instability of a Vehicle Moving on an Elastic Structure , 2002 .

[12]  E. Kausel,et al.  Stiffness matrices for layered soils , 1981 .

[13]  D. Thompson,et al.  A comparison of a theoretical model for quasi-statically and dynamically induced environmental vibration from trains with measurements , 2003 .

[14]  K. Popp,et al.  Steady-state vibrations of an elastic beam on a visco-elastic layer under moving load , 2000 .

[15]  C. Esveld Modern railway track , 1989 .

[16]  Geert Lombaert,et al.  The isolation of railway induced vibrations by means of resilient track elements , 2005 .

[17]  S. Nielsen,et al.  Boundary element analysis of the steady-state response of an elastic half-space to a moving force on its surface , 2003 .

[18]  Andrei V. Metrikine,et al.  Stability of a two-mass oscillator moving on a beam supported by a visco-elastic half-space , 2005 .

[19]  Soheil Nazarian,et al.  Automated surface wave method: Inversion technique , 1993 .

[20]  Chris Jones,et al.  Ground vibration generated by a load moving along a railway track , 1999 .

[21]  N. C. Nigam Introduction to Random Vibrations , 1983 .

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

[23]  Geert Lombaert,et al.  Numerical modelling of free field traffic-induced vibrations , 2000 .

[24]  Lutz Auersch,et al.  The excitation of ground vibration by rail traffic: theory of vehicle–track–soil interaction and measurements on high-speed lines , 2005 .

[25]  Soheil Nazarian,et al.  Automated Surface Wave Method: Field Testing , 1993 .

[26]  Geert Lombaert,et al.  Validation of a numerical model for railway induced vibrations , 2003 .

[27]  Chris Jones,et al.  A theoretical model for ground vibration from trains generated by vertical track irregularities , 2004 .

[28]  Victor V. Krylov High speed lines on soft ground: dynamic soil-track interaction and ground borne vibrations , 2000 .

[29]  Christian Madshus,et al.  HIGH-SPEED RAILWAY LINES ON SOFT GROUND: DYNAMIC BEHAVIOUR AT CRITICAL TRAIN SPEED , 2000 .

[30]  Geert Degrande,et al.  Free field vibrations due to the passage of an IC train and a Thalys HST on the high speed track L2 Brussels-Köln , 2003 .

[31]  Didier Clouteau,et al.  Propagation d'ondes dans des milieux hétérogènes : application à la tenue des ouvrages sous séisme , 1990 .

[32]  G. Lombaert Development and experimental validation of a numerical model for the free field vibrations induced by road traffic , 2001 .

[33]  Geert Lombaert,et al.  The experimental validation of a numerical model for the prediction of the vibrations in the free field produced by road traffic , 2003 .

[34]  G. Lombaert,et al.  An efficient formulation of Krylov's prediction model for train induced vibrations based on the dynamic reciprocity theorem. , 2000, The Journal of the Acoustical Society of America.