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Non-Linear Dynamic Phenomena in the Behavior of a Railway Wheelset Model

Knudsen, C. and Feldberg, R. and Jaschinski, A. (1991) Non-Linear Dynamic Phenomena in the Behavior of a Railway Wheelset Model. Nonlinear Dynamics, vol. 2, pp. 389-404. ISSN 0924-090X.

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Abstract

A dicone moving on a pair of cylindrical rails can be considered as a simplified model of a railway wheelset. Taking into account the non-linear frection laws of rolling contact, the equations of motion for this non-linear mechanical system result in a set of differential-algebraic equations. Previous simulations performed with the differential-algebraic solver DASSL, and experiments, indicated non-linear phenomena such as limit-cycles, bifurcations as well as chaotic behaviour. In this paper the non-linear phenomena are investigated in more detail with the aid of special in-house software and the path-following algoritm PATH. We apply Poincare sections and Poincare maps to describe the structure of periodic, quasiperiodic and chaotic motions. The analyses show that part of the chaotic behaviour of the non-linear system can be fully understood as a non-linear iterative process. The resulting stretching and folding processes are illustrated.

Document Type:Article
Additional Information: LIDO-Berichtsjahr=1991,
Title:Non-Linear Dynamic Phenomena in the Behavior of a Railway Wheelset Model
Authors:
AuthorsInstitution or Email of Authors
Knudsen, C.Laboratory of Applied Mathematical Physics, Technical University of Denmark, Lyngby
Feldberg, R.Laboratory of Applied Math. Phys., Lyngby, Denmark
Jaschinski, A.UNSPECIFIED
Date:1991
Journal or Publication Title:Nonlinear Dynamics
Refereed publication:Yes
In ISI Web of Science:Yes
Volume:vol. 2
Page Range:pp. 389-404
ISSN:0924-090X
Status:Published
Keywords:Railway dynamics; limit cycles; bifurcations; chaos
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Flexible Aircraft (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics > Robotic Systems
Deposited By: elib DLR-Beauftragter
Deposited On:14 Nov 2007
Last Modified:27 Apr 2009 06:49

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