Symmetry, Generic Bifurcations, and Mode Interaction in Nonlinear Railway Dynamics

Jensen, Carsten Nordstrøm; Golubitsky, Martin; True, Hans

doi:10.1007/978-94-011-5320-1_39

Cited by 3 publications

(3 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In fact, several studies have shown that, when a system is invariant under the action of a group of symmetry, this can have tremendous consequences on its bifurcations, producing a rich variety of solutions and unexpected phenomena, as shown by Golubitsky and co-workers [8][9][10][11]. The importance of symmetries in bifurcations is treated, for example, in [7] and [12] who discuss their correlation with group theory.…”

Section: Introductionmentioning

confidence: 99%

Influence of symmetries and imperfections on the non-linear vibration modes of archetypal structural systems

Orlando

Gonçalves

Rega

et al. 2013

International Journal of Non-Linear Mechanics

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

Influence of symmetries and imperfections on the non-linear vibration modes of archetypal structural systems

Orlando

Gonçalves

Rega

et al. 2013

International Journal of Non-Linear Mechanics

View full text Add to dashboard Cite

“…To model primary suspension force elements, the Kolsch method [16] has been used, explained in equation (6), in which the value m denotes sharpness of diagram (Fig. 6) in the transition areas between stick and slip motions.…”

Section: Forces In Primary Suspensionmentioning

confidence: 99%

Critical speed and limit cycles in the empty Y25-freight wagon

Molatefi

Hecht

Kadivar

2006

Proceedings of the Institution of Mechanical Engineers, Part F:

View full text Add to dashboard Cite

In this research, an empty freight wagon with Y25 bogies have been modelled. Non-linear creep forces with spin moment between wheel and rail have been used, and also all impacts and friction forces have been modelled. Non-linear equations of motion and kinematical constraints have been solved in time domain, and limit cycles, saddle nodes, and critical speeds have been shown. Both primary and secondary hunting can be seen in the responses of the wagons. The relation between frequency of oscillations and speed can be seen, also, there are chaotic oscillations. Results show that stiffness in impacts affects calculation time and limit cycles.

show abstract

“…In freight trucks dry friction, impacts and also the contact between wheel and rail generate non-linear kinematical and dynamical terms [2][3][4][5][6][7]. Usual freight bogies have two wheelsets, which are parallel and are connected to the bogie frame.…”

Section: Introductionmentioning

confidence: 99%

Effect of suspension system in the lateral stability of railway freight trucks

Molatefi

Hecht

Kadivar

2007

Proceedings of the Institution of Mechanical Engineers, Part F:

View full text Add to dashboard Cite

In the current research an empty freight wagon with BA652 and an old BA661 bogies have been modelled. Non-linear creep forces with spin moment between wheel and rail have been used and also all impacts and friction forces have been modelled. The characteristics of primary suspension systems for BA652 and an old BA661 have been evaluated by means of test. Non-linear equations of motions and kinematical constraints have been solved in time domain and limit cycles have been showed. Both primary and secondary hunting can be seen in responses of wagon. For BA652 there are non-linear and linear critical speeds and also saddle nodes but for old BA661 the situation is too critical and the system can oscillate in very low speeds.

show abstract

Symmetry, Generic Bifurcations, and Mode Interaction in Nonlinear Railway Dynamics

Cited by 3 publications

References 5 publications

Influence of symmetries and imperfections on the non-linear vibration modes of archetypal structural systems

Influence of symmetries and imperfections on the non-linear vibration modes of archetypal structural systems

Critical speed and limit cycles in the empty Y25-freight wagon

Effect of suspension system in the lateral stability of railway freight trucks

Contact Info

Product

Resources

About