An analytical method for evaluating highway embankment responses with consideration of dynamic wheel–pavement interactions

Abstract In this paper, a more realistic vehicle-road-ground coupling model is proposed to evaluate the dynamic responses of highway embankment with consideration of dynamic wheel–pavement interactions. The vehicle is modelled as a multi-degrees-of-freedom (MDOF) system, and the pavement and embankment are treated as two elastic layers resting on a poroelastic half-space soil medium. The dynamic wheel–pavement force is considered by introducing a Hertzian contact spring between the wheel and the pavement. The vehicles and the road-ground subsystem are coupled by displacement compatibility at the wheel–pavement contact area. The dynamic stiffness matrix method is developed to address the road-ground system, and priority is given to a simple formulation based on the principle of spatial Fourier transforms that are compatible with good numerical efficiency and provide quick solutions. Using a FFT (Fast Fourier Transform) algorithm, the numerical results are derived by introducing two typical vehicles. The results show that two peaks of the vertical responses can be observed with increases in the vehicle speed and the wavelength of the pavement unevenness because of resonance in the coupling system. The dynamic wheel–pavement force makes an important contribution to the responses of the embankment, and the influences of the pavement unevenness parameters and pavement rigidity on the dynamic response of the embankment are also significant.

[1]  Traian Mazilu,et al.  ON VERTICAL ANALYSIS OF RAILWAY TRACK VIBRATIONS , 2010 .

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

[3]  Davood Younesian,et al.  Effects of the trench geometry on vibration mitigation level in high-speed railway tracks , 2012 .

[4]  G. Lefeuve-Mesgouez,et al.  Transient solution for multilayered poroviscoelastic media obtained by an exact stiffness matrix formulation , 2009 .

[5]  Lu Zheng,et al.  Dynamic stress and deformation of a layered road structure under vehicle traffic loads: Experimental measurements and numerical calculations , 2012 .

[6]  M De Beer,et al.  Stress-in-motion (SIM): a new tool for road infrastructure protection? , 2008 .

[7]  M. Biot.  Theory of Propagation of Elastic Waves in a Fluid‐Saturated Porous Solid. I. Low‐Frequency Range , 1956 .

[8]  Shaopu Yang,et al.  Numerical and experimental investigation on stochastic dynamic load of a heavy duty vehicle , 2010 .

[9]  Poul Henning Kirkegaard,et al.  Boundary element method solution in the time domain for a moving time-dependent force , 2001 .

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

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

[12]  Geert Lombaert,et al.  Ground-borne vibration due to static and dynamic axle loads of InterCity and high-speed trains , 2009 .

[13]  Rui Calçada,et al.  Track–ground vibrations induced by railway traffic: In-situ measurements and validation of a 2.5D FEM-BEM model , 2012 .

[14]  Kunihito Matsui,et al.  Linear elastic analysis of pavement structure under non-circular loading , 2012 .

[15]  P. de Buhan,et al.  A GENERAL METHOD FOR CALCULATING THE TRAFFIC LOAD-INDUCED RESIDUAL SETTLEMENT OF A PLATFORM, BASED ON A STRUCTURAL ANALYSIS APPROACH , 2006 .

[16]  Johan Oscarsson,et al.  Dynamic Train/Track/Ballast Interaction - Computer Models and Full-Scale Experiments , 1998 .

[17]  Hailin Yao,et al.  Experimental evaluation and theoretical analysis of multi-layered road cumulative deformation under dynamic loads , 2014 .

[18]  Traian Mazilu.  ON THE DYNAMIC EFFECTS OF WHEEL RUNNING ON DISCRETELY SUPPORTED RAIL , 2009 .

[19]  Wanming Zhai,et al.  Dynamic interaction between a lumped mass vehicle and a discretely supported continuous rail track , 1997 .

[20]  Pedro Galvín,et al.  Fully three-dimensional analysis of high-speed train–track–soil-structure dynamic interaction , 2010 .

[21]  Ajit K. Mal,et al.  On the accuracy of approximate plate theories for wave field calculations in composite laminates , 1995 .

[22]  Erol Tutumluer,et al.  Validation of a Three-Dimensional Finite Element Model using Airfield Pavement Multiple Wheel Load Responses , 2010 .

[23]  Wu Wan-ping.  Ground vibration of soft subgrade subjected to a non-uniformly distributed train load , 2010 .

[24]  Zhigang Cao,et al.  Dynamic response of a poroelastic half-space to accelerating or decelerating trains , 2013 .

[25]  M. Biot.  MECHANICS OF DEFORMATION AND ACOUSTIC PROPAGATION IN POROUS MEDIA , 1962 .

[26]  Chan Ghee Koh,et al.  Moving element method for train‐track dynamics , 2003 .

[27]  Anders Karlström,et al.  An analytical model for train-induced ground vibrations from railways , 2006 .

[28]  Athanasios P. Chassiakos,et al.  Dynamic effects of moving load on a poroelastic soil medium by an approximate method , 2004 .

[29]  P. Owende,et al.  Finite element modelling of flexible pavements on soft soil subgrades , 2007 .

[30]  Jinchun Chai,et al.  Traffic-Load-Induced Permanent Deformation of Road on Soft Subsoil , 2002 .

[31]  Adam Zofka,et al.  Laboratory evaluation of rutting susceptibility of polymer-modified asphalt mixtures containing recycled pavements , 2012 .

[32]  Arnaud Mesgouez,et al.  Three-dimensional dynamic response of a porous multilayered ground under moving loads of various distributions , 2012, Adv. Eng. Softw..

[33]  Liang Jian-wen.  Dynamic responses of a multilayered site with saturated soils , 2008 .

[34]  Isam Shahrour,et al.  Numerical modeling of traffic-induced ground vibration , 2012 .

[35]  D. Theodorakopoulos.  Dynamic analysis of a poroelastic half-plane soil medium under moving loads , 2003 .

[36]  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 .

[37]  Jian-Hua Wang,et al.  Dynamic response of a layered water-saturated half space to a moving load , 2008 .

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

[39]  I. N. Sneddon,et al.  The stress produced by a pulse of pressure moving along the surface of a semi-infinite solid , 1952 .

[40]  B. Picoux,et al.  Diagnosis and prediction of vibration from railway trains , 2005 .

[41]  Anders Karlström,et al.  An analytical model for ground vibrations from accelerating trains , 2006 .

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

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

[44]  Jie Liu,et al.  Dynamic response of a pavement-subgrade-soft ground system subjected to moving traffic load , 2014 .

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

[46]  Luo Hai-ning.  Dynamic response of rough pavement on Kelvin foundation subjected to traffic loads , 2009 .

[47]  Alireza Bayat,et al.  Field evaluation and analysis of flexible pavement structural responses under dynamic loads , 2012 .

[48]  Osama Hunaidi,et al.  Building vibrations and dynamic pavement loads induced by transit buses 1 1 This paper was authored , 2000 .