Stability analysis of the car-trailer system with a time-delayed tyre model

S. Beregi; D. Takács; G. Stépán; D. A.W. Barton

doi:10.1201/b21185-69

Stability analysis of the car-trailer system with a time-delayed tyre model

S. Beregi, D. Takács, G. Stépán, D. A.W. Barton

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

1 Citation (Scopus)

Abstract

In this paper we investigate the dynamics of towed vehicles by means of two examples, the car-trailer combination and a towed trailer, both represented by the so-called single track model. The effect of tyre deformation is considered with the help of the brush tyre model. In our analysis we take into account the so-called ‘memory effect’ in the tyre-ground contact patch too, which leads to delay differential equations with distributed time-delay as governing equations. The stability of the rectilinear motion is analysed by means of stability charts with respect to the vehicle parameters. For the towed trailer we also performed nonlinear analysis which enabled us to capture the Hopf bifurcations emerging at the stability boundaries. These were compared with numerical simulation, where we studied the effect of lateral tyre-slip, too.

Original language	English
Title of host publication	The Dynamics of Vehicles on Roads and Tracks - Proceedings of the 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015
Editors	Martin Rosenberger, Klaus Six, Manfred Plöchl, Johannes Edelmann
Publisher	CRC Press/Balkema
Pages	643-652
Number of pages	10
ISBN (Print)	9781138028852
DOIs	https://doi.org/10.1201/b21185-69
Publication status	Published - 2016
Event	24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015 - Graz, Austria Duration: 17 Aug 2015 → 21 Aug 2015

Publication series

Name	The Dynamics of Vehicles on Roads and Tracks - Proceedings of the 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015

Conference

Conference	24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015
Country/Territory	Austria
City	Graz
Period	17/08/15 → 21/08/15

Bibliographical note

Publisher Copyright:
© 2016 Taylor & Francis Group, London.

Research Groups and Themes

Engineering Mathematics Research Group

Keywords

Car-trailer lateral-stability
Memory effect in tyres
Nonlinear analysis
Self-excited vibrations
Tyre/road interaction

Access to Document

10.1201/b21185-69

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Cite this

Beregi, S., Takács, D., Stépán, G., & Barton, D. A. W. (2016). Stability analysis of the car-trailer system with a time-delayed tyre model. In M. Rosenberger, K. Six, M. Plöchl, & J. Edelmann (Eds.), The Dynamics of Vehicles on Roads and Tracks - Proceedings of the 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015 (pp. 643-652). (The Dynamics of Vehicles on Roads and Tracks - Proceedings of the 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015). CRC Press/Balkema. https://doi.org/10.1201/b21185-69

Beregi, S. ; Takács, D. ; Stépán, G. et al. / Stability analysis of the car-trailer system with a time-delayed tyre model. The Dynamics of Vehicles on Roads and Tracks - Proceedings of the 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015. editor / Martin Rosenberger ; Klaus Six ; Manfred Plöchl ; Johannes Edelmann. CRC Press/Balkema, 2016. pp. 643-652 (The Dynamics of Vehicles on Roads and Tracks - Proceedings of the 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015).

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title = "Stability analysis of the car-trailer system with a time-delayed tyre model",

abstract = "In this paper we investigate the dynamics of towed vehicles by means of two examples, the car-trailer combination and a towed trailer, both represented by the so-called single track model. The effect of tyre deformation is considered with the help of the brush tyre model. In our analysis we take into account the so-called {\textquoteleft}memory effect{\textquoteright} in the tyre-ground contact patch too, which leads to delay differential equations with distributed time-delay as governing equations. The stability of the rectilinear motion is analysed by means of stability charts with respect to the vehicle parameters. For the towed trailer we also performed nonlinear analysis which enabled us to capture the Hopf bifurcations emerging at the stability boundaries. These were compared with numerical simulation, where we studied the effect of lateral tyre-slip, too.",

keywords = "Car-trailer lateral-stability, Memory effect in tyres, Nonlinear analysis, Self-excited vibrations, Tyre/road interaction",

author = "S. Beregi and D. Tak{\'a}cs and G. St{\'e}p{\'a}n and Barton, {D. A.W.}",

note = "Publisher Copyright: {\textcopyright} 2016 Taylor & Francis Group, London.; 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015 ; Conference date: 17-08-2015 Through 21-08-2015",

year = "2016",

doi = "10.1201/b21185-69",

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series = "The Dynamics of Vehicles on Roads and Tracks - Proceedings of the 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015",

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pages = "643--652",

editor = "Martin Rosenberger and Klaus Six and Manfred Pl{\"o}chl and Johannes Edelmann",

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}

Beregi, S, Takács, D, Stépán, G & Barton, DAW 2016, Stability analysis of the car-trailer system with a time-delayed tyre model. in M Rosenberger, K Six, M Plöchl & J Edelmann (eds), The Dynamics of Vehicles on Roads and Tracks - Proceedings of the 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015. The Dynamics of Vehicles on Roads and Tracks - Proceedings of the 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015, CRC Press/Balkema, pp. 643-652, 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015, Graz, Austria, 17/08/15. https://doi.org/10.1201/b21185-69

Stability analysis of the car-trailer system with a time-delayed tyre model. / Beregi, S.; Takács, D.; Stépán, G. et al.
The Dynamics of Vehicles on Roads and Tracks - Proceedings of the 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015. ed. / Martin Rosenberger; Klaus Six; Manfred Plöchl; Johannes Edelmann. CRC Press/Balkema, 2016. p. 643-652 (The Dynamics of Vehicles on Roads and Tracks - Proceedings of the 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

TY - GEN

T1 - Stability analysis of the car-trailer system with a time-delayed tyre model

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AU - Takács, D.

AU - Stépán, G.

AU - Barton, D. A.W.

PY - 2016

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N2 - In this paper we investigate the dynamics of towed vehicles by means of two examples, the car-trailer combination and a towed trailer, both represented by the so-called single track model. The effect of tyre deformation is considered with the help of the brush tyre model. In our analysis we take into account the so-called ‘memory effect’ in the tyre-ground contact patch too, which leads to delay differential equations with distributed time-delay as governing equations. The stability of the rectilinear motion is analysed by means of stability charts with respect to the vehicle parameters. For the towed trailer we also performed nonlinear analysis which enabled us to capture the Hopf bifurcations emerging at the stability boundaries. These were compared with numerical simulation, where we studied the effect of lateral tyre-slip, too.

AB - In this paper we investigate the dynamics of towed vehicles by means of two examples, the car-trailer combination and a towed trailer, both represented by the so-called single track model. The effect of tyre deformation is considered with the help of the brush tyre model. In our analysis we take into account the so-called ‘memory effect’ in the tyre-ground contact patch too, which leads to delay differential equations with distributed time-delay as governing equations. The stability of the rectilinear motion is analysed by means of stability charts with respect to the vehicle parameters. For the towed trailer we also performed nonlinear analysis which enabled us to capture the Hopf bifurcations emerging at the stability boundaries. These were compared with numerical simulation, where we studied the effect of lateral tyre-slip, too.

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KW - Self-excited vibrations

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M3 - Conference Contribution (Conference Proceeding)

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SN - 9781138028852

T3 - The Dynamics of Vehicles on Roads and Tracks - Proceedings of the 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015

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BT - The Dynamics of Vehicles on Roads and Tracks - Proceedings of the 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015

A2 - Rosenberger, Martin

A2 - Six, Klaus

A2 - Plöchl, Manfred

A2 - Edelmann, Johannes

PB - CRC Press/Balkema

T2 - 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015

Y2 - 17 August 2015 through 21 August 2015

ER -

Beregi S, Takács D, Stépán G, Barton DAW. Stability analysis of the car-trailer system with a time-delayed tyre model. In Rosenberger M, Six K, Plöchl M, Edelmann J, editors, The Dynamics of Vehicles on Roads and Tracks - Proceedings of the 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015. CRC Press/Balkema. 2016. p. 643-652. (The Dynamics of Vehicles on Roads and Tracks - Proceedings of the 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015). doi: 10.1201/b21185-69

Stability analysis of the car-trailer system with a time-delayed tyre model

Abstract

Publication series

Conference

Bibliographical note

Research Groups and Themes

Keywords

Access to Document

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