Premium
Numerical Treatment of Catenary Systems
Author(s) -
Teichelmann Gunnar
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410327
Subject(s) - catenary , pantograph , lagrange multiplier , finite element method , computation , differential (mechanical device) , numerical integration , string (physics) , partial differential equation , computer science , mathematics , engineering , mathematical optimization , mathematical analysis , algorithm , structural engineering , mechanical engineering , mathematical physics , aerospace engineering
Simulation is of great importance in the development of railway cable systems. Mathematical models and numerical methods for the computation of both static equilibria and dynamic oscillations of railroad catenaries are being derived. These cable systems form a complex network of string and beam elements and lead to coupled partial differential equations in space and time where constraints and corresponding Lagrange multipliers express the interaction between carrier, contact wire, and pantograph head. For computing static equilibria, two different algorithms are presented, while the dynamic case is treated by a finite element method in space, combined with stabilized time integration of the resulting differential algebraic system. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)