A 3D absolute nodal coordinate finite element model to compute the initial configuration of a railway catenary

Abstract In this paper we propose a method of finding the initial equilibrium configuration of cable structures discretized by finite elements applied to the shape-finding of the railway overhead system. Absolute nodal coordinate formulation finite elements, which allow for axial and bending deformation, are used for the contact and messenger wires. The other parts of the overhead system are discretized with non-linear bars or equivalent springs. The proposed method considers the constraints introduced during the assembly of the catenary, such as the position of droppers, cable tension, and height of the contact wire. The formulation is general and can be applied to different catenary configurations or transitions both in 2D and 3D with straight or curved track paths. A comparison of the results obtained for reference catenaries in the bibliography is also included.

[1]  Xg G. Hua,et al.  A new two-node catenary cable element for the geometrically non-linear analysis of cable-supported structures , 2010 .

[2]  Paulo M. Pimenta,et al.  The natural force density method for the shape finding of taut structures , 2008 .

[3]  Pere Roca,et al.  A new deformable catenary element for the analysis of cable net structures , 2006 .

[4]  Yong Hyeon Cho,et al.  Numerical simulation of the dynamic responses of railway overhead contact lines to a moving pantograph, considering a nonlinear dropper , 2008 .

[5]  Raid Karoumi,et al.  Some modeling aspects in the nonlinear finite element analysis of cable supported bridges , 1999 .

[6]  Jorge Ambrósio,et al.  A Flexible Multibody Pantograph Model for the Analysis of the Catenary–Pantograph Contact , 2011 .

[7]  H. B. Jayaraman,et al.  A curved element for the analysis of cable structures , 1981 .

[8]  Alberto Carnicero López,et al.  Computation of the initial equilibrium of railway overheads based on the catenary equation , 2006 .

[9]  J. P. Massat,et al.  Robust Methods for Detecting Defects in Overhead Contact Line Based on Simulation Results , 2006 .

[10]  Johannes Gerstmayr,et al.  On the correct representation of bending and axial deformation in the absolute nodal coordinate formulation with an elastic line approach , 2008 .

[11]  Tomás Rojo,et al.  A TOOL TO CALCULATE MECHANICAL FORCES ON RAILWAY CATENARY , 2000 .

[12]  Jangbom Chai,et al.  Dynamic analysis of a pantograph–catenary system using absolute nodal coordinates , 2006 .

[13]  A. Shabana.  Computer Implementation of the Absolute Nodal Coordinate Formulation for Flexible Multibody Dynamics , 1998 .

[14]  Stefano Bruni,et al.  Numerical Simulation of Pantograph-Overhead Equipment Interaction , 2002 .

[15]  Jorge Ambrósio,et al.  Influence of the aerodynamic forces on the pantograph–catenary system for high-speed trains , 2009 .

[16]  Enrique Arias,et al.  A high performance tool for the simulation of the dynamic pantograph-catenary interaction , 2008, Math. Comput. Simul..

[17]  John Argyris,et al.  A general method for the shape finding of lightweight tension structures , 1974 .

[18]  Gunnar Tibert,et al.  Numerical analyses of cable roof structures , 1999 .

[19]  A. Shabana,et al.  DEVELOPMENT OF SIMPLE MODELS FOR THE ELASTIC FORCES IN THE ABSOLUTE NODAL CO-ORDINATE FORMULATION , 2000 .

[20]  Jorge Ambrósio,et al.  Multiple Pantograph Interaction With Catenaries in High-Speed Trains , 2012 .

[21]  M. R. Barnes,et al.  Form-finding and analysis of prestressed nets and membranes , 1988 .

[22]  Etienne Balmes,et al.  Pantograph catenary dynamic optimisation based on advanced multibody and finite element co-simulation tools , 2014 .

[23]  Jin-Hee Lee,et al.  Development of a three-dimensional catenary model using cable elements based on absolute nodal coordinate formulation , 2012 .

[24]  Frederico Rauter,et al.  Multibody Modeling of Pantographs for Pantograph-Catenary Interaction , 2007 .

[25]  Ignacio Romero,et al.  A comparison of finite elements for nonlinear beams: the absolute nodal coordinate and geometrically exact formulations , 2008 .

[26]  W. Kortüm,et al.  Pantograph/Catenary Dynamics and Control , 1997 .

[27]  Bernd Simeon,et al.  Modelling and simulation of railway cable systems , 2005 .

[28]  Joao Pombo,et al.  Contact Model for The Pantograph-Catenary Interaction * , 2007 .

[29]  Jean-Pierre Massat.  Modélisation du comportement dynamique du couple pantographe-caténaire. Application à la détection de défauts dans la caténaire , 2007 .

[30]  Johannes Gerstmayr,et al.  Analysis of Thin Beams and Cables Using the Absolute Nodal Co-ordinate Formulation , 2006 .

[31]  Kinam Kim,et al.  Influence of contact wire pre-sag on the dynamics of pantograph–railway catenary , 2010 .

[32]  A. Collina,et al.  Effect of collector deformable modes in pantograph—catenary dynamic interaction , 2009 .

[33]  Pablo Rodríguez,et al.  Simulation model for the study of overhead rail current collector systems dynamics, focused on the design of a new conductor rail , 2006 .

[34]  H. Schek.  The force density method for form finding and computation of general networks , 1974 .

[35]  Ph. Bouillard,et al.  Review: Multicriteria optimization of lightweight bridge structures with a constrained force density method , 2011 .

[36]  A. Carnicero,et al.  Computation of the initial equilibrium of railway overheads based on the catenary equation , 2006 .

[37]  Jorge Ambrósio,et al.  Influence of pantograph suspension characteristics on the contact quality with the catenary for high speed trains , 2012 .

[38]  Wei‐Xin Ren,et al.  A parabolic cable element for static analysis of cable structures , 2008 .

[39]  Martin Arnold,et al.  Pantograph and catenary dynamics: a benchmark problem and its numerical solution , 2000 .