A mathematical model of the static pantograph/catenary interaction

  • Authors:

  • Enrique Arias;Angelines Alberto;Jesus Montesinos;Tomas Rojo;Fernando Cuartero;Jesus Benet

  • Affiliations:

  • Escuela Politecnica Superior de Albacete, University of Castilla-La Mancha, Albacete, Spain;Albacete Institute of Research in Informatics, University of Castilla-La Mancha, Albacete, Spain;Grupo de Electrificacion, Administrador de Infraestructuras Ferroviarias ADIF, Spain;Escuela Politecnica Superior de Albacete, University of Castilla-La Mancha, Albacete, Spain;Escuela Politecnica Superior de Albacete, University of Castilla-La Mancha, Albacete, Spain;Escuela Politecnica Superior de Albacete, University of Castilla-La Mancha, Albacete, Spain

  • Venue:
  • International Journal of Computer Mathematics - RECENT ADVANCES IN COMPUTATIONAL AND APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING
  • Year:
  • 2009

Quantified Score

Hi-index 0.00

Visualization

Abstract

In this paper, we present a mathematical model of the static pantograph/catenary interaction for high-speed railways, with an outline of the development of a computing algorithm which can be used to obtain the solution of the static equilibrium equation of the pantograph/catenary system which has been reached after an exhaustive study of the traditional mechanical approach based on a set of coupled strings. In order to obtain favourable behaviour in the pantograph/catenary system, it is necessary to obtain adequate conditions in the line; thus we need a precise mechanical calculus. The resulting stiffness matrix shows a high degree of sparsity. Hence, this result can be interpreted in two ways: less memory storage requirements as well as the use of suitable methods to solve the static equilibrium equation as projection methods.