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Pantograph and catenary dynamics: a benchmark problem and its numerical solution

Arnold, M. and Simeon, B. (2000) Pantograph and catenary dynamics: a benchmark problem and its numerical solution. Applied Numerical Mathematics, 34, pp. 345-362.

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Abstract

Coupled systems of partial differential equations (PDE’s) and differential-algebraic equations (DAE’s) are of actual interest in various practical applications. From this point of view we have recently studied the interaction of pantograph and catenary in high speed trains. To stimulate further research on this topic we formulate in the present paper a simplified model problem that reflects basic parts of the nonlinear dynamics in the technical system pantograph/catenary. Following the method of lines the equations of motion are semi-discretized in space using finite differences. For time discretization, typical DAE techniques are applied such as index reduction, projection step and handling of systems with varying structure.

Item URL in elib:https://elib.dlr.de/14167/
Document Type:Article
Additional Information: LIDO-Berichtsjahr=2000,
Title:Pantograph and catenary dynamics: a benchmark problem and its numerical solution
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Arnold, M.UNSPECIFIEDUNSPECIFIED
Simeon, B.Universität KarlsruheUNSPECIFIED
Date:2000
Journal or Publication Title:Applied Numerical Mathematics
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:Yes
Volume:34
Page Range:pp. 345-362
Status:Published
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Transport
HGF - Program Themes:other
DLR - Research area:Transport
DLR - Program:V FT - Fahrzeugtechnik
DLR - Research theme (Project):UNSPECIFIED
Location: Göttingen
Institutes and Institutions:Institute of Aeroelasticity
Deposited By: DLR-Beauftragter, elib
Deposited On:16 Sep 2005
Last Modified:14 Jan 2010 21:30

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