Nonlinear Train-Bridge Lateral Interaction Using a Simplified Wheel-Rail Contact Method Within a Finite Element Framework

The evaluation of running safety of railway vehicles on viaducts requires the study of lateral dynamics for the coupled vehicle-bridge system. This includes the structural deformation of the bridge, the vehicle multibody dynamics, and the consideration of wheel to rail contact. In this work, a fully nonlinear coupled method for such study is presented. The model is developed in a modular way using finite element models for the structure and multibody dynamics models for the vehicles in an absolute reference, and implemented within an existing finite element commercial code. A key feature is the consideration of the kinematics and dynamics of nonlinear wheel to rail interface, considering elastic-frictional contact. This contact is based on a global geometric constraint between wheelset and track and tangential forces at local level of each contact point. Some elementary applications are presented for the behavior of the model for stable and unstable hunting motion when subjected to transient lateral loads such as a wind gust. These results show the relevance of considering nonlinear effects and in particular wheel to flange contact. © 2012 American Society of Mechanical Engineers.

[1]  Ahmed A. Shabana,et al.  Development of elastic force model for wheel/rail contact problems , 2004 .

[2]  Francisco Millanes Mato,et al.  "Arroyo Las Piedras" Viaduct: The first Composite Steel-Concrete High Speed Railway Bridge in Spain , 2007 .

[3]  Nan Zhang,et al.  Vehicle bridge interaction analysis under high-speed trains , 2008 .

[4]  Rui Dias,et al.  A study of the lateral dynamic behaviour of high speed railway viaducts and its effect on vehicle ride comfort and stability , 2008 .

[5]  Miguel A. Astiz,et al.  Strategies for Modeling Train-Bridge Lateral Dynamic Interaction , 2012 .

[6]  Pennung Warnitchai,et al.  Dynamic analysis of three-dimensional bridge–high-speed train interactions using a wheel–rail contact model , 2009 .

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

[8]  G. De Roeck,et al.  A VEHICLE–BRIDGE LINEAR INTERACTION MODEL AND ITS VALIDATION , 2010 .

[9]  J. J. Kalker The principle of virtual work and its dual for contact problems , 1986 .

[10]  J. C. Simo,et al.  The role of non-linear theories in transient dynamic analysis of flexible structures , 1987 .

[11]  Karl Popp,et al.  Ground Vehicle Dynamics , 2010 .

[12]  Makoto Tanabe,et al.  Computational model of a Shinkansen train running on the railway structure and the industrial applications , 2003 .

[13]  Guido De Roeck,et al.  Dynamic analysis of high speed railway bridge under articulated trains , 2003 .

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

[15]  Hiroyuki Sugiyama,et al.  Railroad Vehicle Dynamics: A Computational Approach , 2007 .

[16]  Thomas J. R. Hughes,et al.  Improved numerical dissipation for time integration algorithms in structural dynamics , 1977 .

[17]  J. Kalker,et al.  On the rolling contact of two elastic bodies in the presence of dry friction , 1967 .

[18]  Yl L. Xu,et al.  Vibration of coupled train and cable-stayed bridge systems in cross winds , 2004 .

[19]  J. J. Kalker,et al.  A Fast Algorithm for the Simplified Theory of Rolling Contact , 1982 .

[20]  Weiwei Guo,et al.  Running safety analysis of a train on the Tsing Ma Bridge under turbulent winds , 2010 .

[21]  Parviz E. Nikravesh,et al.  Computer-aided analysis of mechanical systems , 1988 .