A further investigation about a simple model of the hunting behavior of some old locomotives

A further investigation about a simple model of the hunting behavior of some old locomotives In a previous paper, a very rough model was proposed to investigate the unsatisfactory hunting behavior of some old locomotive prototypes, which prevented high speed service in the third decade of the last century. The first idea was to exploit nonlinear equations in order to investigate chaotic behavior, because large hunting oscillations, suddenly rising, were reported in the literature. The model was first suggested by the similarity between the usual piecewise linear tread taper and the Chua’s diode characteristic, and evolved in a circuit which was able to mimic, at least in some ways, the locomotive behavior. Although useless as design tool, because a careful a posteriori optimization is needed due to an insufficient number of parameters, the model seems to deserve further investigation. Here, some work is presented, to refine the previous analysis and to present a new version of the model, no longer limited to oscillation modes dominated by natural frequencies of body and bogies, and suitable to simulate kinetic trajectories, elastic or viscous links, and dampers. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Dynamics Springer Journals

A further investigation about a simple model of the hunting behavior of some old locomotives

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Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer Science+Business Media B.V.
Subject
Engineering; Vibration, Dynamical Systems, Control; Classical Mechanics; Mechanical Engineering; Automotive Engineering
ISSN
0924-090X
eISSN
1573-269X
D.O.I.
10.1007/s11071-017-3846-x
Publisher site
See Article on Publisher Site

Abstract

In a previous paper, a very rough model was proposed to investigate the unsatisfactory hunting behavior of some old locomotive prototypes, which prevented high speed service in the third decade of the last century. The first idea was to exploit nonlinear equations in order to investigate chaotic behavior, because large hunting oscillations, suddenly rising, were reported in the literature. The model was first suggested by the similarity between the usual piecewise linear tread taper and the Chua’s diode characteristic, and evolved in a circuit which was able to mimic, at least in some ways, the locomotive behavior. Although useless as design tool, because a careful a posteriori optimization is needed due to an insufficient number of parameters, the model seems to deserve further investigation. Here, some work is presented, to refine the previous analysis and to present a new version of the model, no longer limited to oscillation modes dominated by natural frequencies of body and bogies, and suitable to simulate kinetic trajectories, elastic or viscous links, and dampers.

Journal

Nonlinear DynamicsSpringer Journals

Published: Oct 10, 2017

References

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