Dynamical investigation of railway vehicles on a curved track

Zboiński, K.

doi:10.1016/s0997-7538(98)90506-x

Cited by 65 publications

(65 citation statements)

References 7 publications

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“…The considerations and results presented are to some extent the continuation of those started earlier by Zboinski (1998). An important contribution of that publication was putting the problem of rail vehicles stability in a curved track, explicitly.…”

Section: Introductionmentioning

confidence: 64%

“…In spite of putting the problem explicitly (Zboinski, 1998) and later explicit studies, both by the authors of this article (Zboinski and Dusza, 2002, 2004-a, 2004-b, 2006Dusza, 2005) and others (True and Birkedal Nielsen, 1998;Lee and Cheng, 2003, 2005True at al., 2005;Hoffmann, 2006;Hoffmann and True, 2008;andWu, 2004, 2005), a group of researchers and railway practitioners exists considering the hunting motion either to be absent in a curved track or to be unworthy of interest (consequently the stability). They advocate traditional opinion that periodic vibrations of constant amplitude (limit cycles) above critical velocity appear for straight track only, whereas in circular curves the motion is purely of quasi-static character.…”

Section: Introductionmentioning

confidence: 84%

“…Critical velocity obtained in such conditions is often called linear one and denoted v c . On the other hand a great number of the works indicates existence of Hopf bifurcation and attractor, determining socalled non-linear critical velocity v n (Xu at al., 1992;Jensen and True, 1997;True and Jensen, 1994-b;Zboinski, 1998;Knothe and Böhm, 1999;Cheng, 2003, 2005;Shupp, 2004;Wu, 2004, 2005;Dusza, 2004-a, 2006;Dusza, 2005;Hoffmann, 2006;and Polach, 2006). Its value is different in general from linear velocity v c and physical nature of v n and v c is different, too.…”

Section: A C C E P T E D Article In Pressmentioning

confidence: 99%

“…From that point of view, the reference by (Zboinski, 1998) is still important because it relates to these problems in direct way. The described state of affairs is in our view one of the reasons for slow spreading the opinion about usefulness of the stability studies in a curved track.…”

Section: A C C E P T E D Article In Pressmentioning

confidence: 99%

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Self-exciting vibrations and Hopf's bifurcation in non-linear stability analysis of rail vehicles in a curved track

Zboiński

Dusza

2010

European Journal of Mechanics - A/Solids

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Please cite this article as: Zboinski, K., Dusza, M. Self-exciting vibrations and Hopf's bifurcation in nonlinear stability analysis of rail vehicles in a curved track, European Journal of Mechanics / A Solids (2009), doi: 10.1016/j.euromechsol.2009.10.001 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Abstract -the main objective of this article is to present the authors' view of-and results on non-linear lateral stability of rail vehicles in a curved track. Three elements are exploited in order to secure this objective. Firstly, physical genesis of the problem is discussed, and its similarity to straight track analysis is emphasized. Results of the theories of self-exciting vibrations and bifurcation are the key elements here. Secondly, the method suitable for analysis in a curved track is presented. New necessary elements, extending the better established methods for straight track are clearly mentioned and described. The methodology of building original stability maps, being the basis for the analysis and valid for whole range of curve radii and straight track is represented. Thirdly, a sample of the analysis is shown in order to give the idea how the method can be utilised. The case study refers to the influence of wheel/rail profiles on the stability in circularly curved track and straight track as well. Two different pairs of wheel/rail profiles are used and the corresponding results compared. The main contributions of the article are: a discussion of the physical nature of phenomena related to the stability in a curved tracks, and the method (procedure) established for the reasons of the analysis. Another and more general contribution is our say in the hot polemics on the advisability of stability analysis in curves and the advantages of the non-linear critical speed over the linear one. M A N U S C R I P T A C C E P T E D ARTICLE IN PRESS Self-exciting vibrations and Hopf's bifurcation in non-linear stability analysis of rail vehicles in a curved track

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Section: Introductionmentioning

confidence: 64%

Section: Introductionmentioning

confidence: 84%

Section: A C C E P T E D Article In Pressmentioning

confidence: 99%

Section: A C C E P T E D Article In Pressmentioning

confidence: 99%

See 2 more Smart Citations

Self-exciting vibrations and Hopf's bifurcation in non-linear stability analysis of rail vehicles in a curved track

Zboiński

Dusza

2010

European Journal of Mechanics - A/Solids

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“…Therefore, the nonlinear stability problems of railway vehicles have been paid high attention by researchers (1) - (8) and also the stability problems of some unconventional bogies are carefully studied (9) - (11) . In the past, researchers carried out a lot of work on the stability studies of railway vehicles running on straight track, but paid little attention to the stability problems of vehicles on curved tracks (12) . In the vehicle system model, normally the traction force of coupler is not taken into account.…”

Section: Introductionmentioning

confidence: 99%

Stability Analysis of High Speed Railway Vehicles

Zeng

2004

JSME Int. J., Ser. C

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The lateral mathematical model of a high speed vehicle system with 17 degrees of freedom is set up and the nonlinearities arising duo to suspension parameters and wheel/rail interactions are considered. The coupler traction force in tension and compression cases which is the function of vehicle speed and position in the trainset is also taken into account in the model. The critical speed at the Hopf bifurcation point on straight and circular curved tracks are studied by utilizing efficient numerical methods. The influence of track curve radius and superelevation on the critical speed is investigated.

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Bibliography

2021

Mathematical Foundation of Railroad Vehicle Systems

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Bibliography1. ACC. (2017). Competitive switching: making the switch to a more competitive, healthy freight rail system. Freight Rail Reform. https://www.freightrailreform.com/ making-the-switch-to-a-more-competitive-healthy-freight-rail-system. 2. Andersson, C. and Abrahamsson, T. (2002). Simulation of interaction between a train in general motion and a track. Vehicle System Dynamics 38: 433-455.

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Dynamical investigation of railway vehicles on a curved track

Cited by 65 publications

References 7 publications

Self-exciting vibrations and Hopf's bifurcation in non-linear stability analysis of rail vehicles in a curved track

Self-exciting vibrations and Hopf's bifurcation in non-linear stability analysis of rail vehicles in a curved track

Stability Analysis of High Speed Railway Vehicles

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