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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 (PDEs) and differential-algebraic equations (DAEs) 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/ | |||||||||
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| Document Type: | Article | |||||||||
| Additional Information: | LIDO-Berichtsjahr=2000, | |||||||||
| Title: | Pantograph and catenary dynamics: a benchmark problem and its numerical solution | |||||||||
| Authors: |
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| 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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