Study of Direct Finite Element Method of Analysing Soil–Structure Interaction in a Simply Supported Railway Bridge Subjected to Resonance

Abstract This paper presents the dynamic soil–bridge interaction under high-speed railway lines, under different soil stiffness conditions. Starting from the analysis of a simply supported Euler–Bernoulli beam model subjected to moving loads, a three-dimensional multi-body (soil–abutment–bridge–ballast–sleeper–rail) model formulated in the time domain to study the vibrations induced due to the passage of moving concentrated loads was analysed using the direct finite element method of soil–structure interaction analysis. The high-speed train was considered to be a set of concentrated loads, the rail was modelled as a Euler–Bernoulli beam (frame element), and the sleepers, ballast, bridge, abutments and soil were modelled using eight-node solid (brick) elements. Layered soil stratum’s effects on the dynamic response of the bridge deck and variation of stresses were studied. From this study, it was observed that the direct method of FE analysis can be an effective tool to solve the complex dynamic soil–structure interaction problems.

[1]  Yeong-Bin Yang,et al.  Vehicle-bridge interaction dynamics: with applications to high-speed railways , 2004 .

[2]  Yan-feng Teng滕延锋,et al.  Vibration analysis of continuous maglev guideway considering the magnetic levitation system , 2008 .

[3]  O. von Estorff,et al.  Dynamic response of elastic blocks by time domain BEM and FEM , 1991 .

[4]  G. De Roeck,et al.  Experimental analysis of a high-speed railway bridge under Thalys trains , 2003 .

[5]  Mahir Ülker-Kaustell,et al.  Simplified analysis of the dynamic soil–structure interaction of a portal frame railway bridge , 2010 .

[6]  L Frýba,et al.  A rough assessment of railway bridges for high speed trains , 2001 .

[7]  R. Moreno Delgado,et al.  Modelling of railway bridge-vehicle interaction on high speed tracks , 1997 .

[8]  Nan Zhang,et al.  Analysis of resonance mechanism and conditions of train-bridge system , 2006 .

[9]  Eduardo Kausel,et al.  Dynamic Analysis of Footings on Layered Media , 1975 .

[10]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .

[11]  Xin-jian Kou,et al.  Vibration analysis of continuous maglev guideway considering the magnetic levitation system , 2008 .

[12]  J. Lysmer,et al.  Shear Waves in Plane Infinite Structures , 1972 .

[13]  J. Wolf.  Dynamic soil-structure interaction , 1985 .

[14]  E. Kausel,et al.  Semianalytic Hyperelement for Layered Strata , 1977 .

[15]  Yeong-Bin Yang,et al.  An element for analysing vehicle–bridge systems considering vehicle's pitching effect , 1999 .

[16]  Chang-Koon Choi,et al.  A new three-dimensional finite element analysis model of high-speed train–bridge interactions , 2003 .

[17]  Giuseppe Muscolino,et al.  A substructure approach for the dynamic analysis of train-track-bridge system , 2005 .

[18]  Anil K. Chopra,et al.  Dynamics of Structures: Theory and Applications to Earthquake Engineering , 1995 .

[19]  Nan Zhang,et al.  Experimental analysis of railway bridge under high-speed trains , 2005 .

[20]  M. D. Martínez-Rodrigo,et al.  Vibration control of simply supported beams under moving loads using fluid viscous dampers , 2007 .

[21]  Geert Lombaert,et al.  VALIDATION OF A SOURCE-RECEIVER MODEL FOR ROAD TRAFFIC-INDUCED VIBRATIONS IN BUILDINGS. I: SOURCE MODEL , 2004 .

[22]  Yeong-Bin Yang,et al.  Vibration of simple beams due to trains moving at high speeds , 1997 .

[23]  Kai Liu,et al.  The effect of dynamic train–bridge interaction on the bridge response during a train passage , 2009 .

[24]  Shen-Haw Ju,et al.  Resonance characteristics of high-speed trains passing simply supported bridges , 2003 .

[25]  M. D. Martínez-Rodrigo,et al.  Optimal design of passive viscous dampers for controlling the resonant response of orthotropic plates under high-speed moving loads , 2011 .

[26]  J. Wolf.  Soil-structure-interaction analysis in time domain , 1988 .

[27]  J. Wolf,et al.  Consistent Infinitesimal Finite-Element Cell Method: Three-Dimensional Vector Wave Equation , 1996 .

[28]  T. Hanazato,et al.  THREE-DIMENSIONAL ANALYSIS OF TRAFFIC-INDUCED GROUND VIBRATIONS , 1991 .

[29]  P. Museros,et al.  INFLUENCE OF THE SECOND BENDING MODE ON THE RESPONSE OF HIGH-SPEED BRIDGES AT RESONANCE , 2005 .

[30]  Pedro Galvín,et al.  Soil-structure interaction in resonant railway bridges , 2013 .

[31]  T. Tsao,et al.  On asymptotics of the solution of the moving oscillator problem , 2003 .

[32]  Xuyou Long,et al.  Resonance characteristics of two-span continuous beam under moving high speed trains , 2010 .

[33]  Yeong-Bin Yang,et al.  Vehicle-Bridge Interaction Element for Dynamic Analysis , 1997 .

[34]  Yeong-Bin Yang,et al.  Impact response of high speed rail bridges and riding comfort of rail cars , 1999 .

[35]  John P. Wolf,et al.  A comparison of time-domain transmitting boundaries , 1986 .

[36]  Francis T.K. Au,et al.  Vibration of railway bridges under a moving train by using bridge-track-vehicle element , 2001 .

[37]  Yeong-Bin Yang,et al.  Three-Dimensional Analysis of Train-Rail-Bridge Interaction Problems , 2001 .

[38]  P. Chellapandi,et al.  SSI analysis of a massive concrete structure based on a novel convolution/deconvolution technique , 2007 .