Theoretical and experimental study on the nonlinear dynamics of wheel-shimmy

Sandor Beregi; Denes Takacs; Gergely Gyebroszki; Gabor Stepan

doi:10.1007/s11071-019-05225-w

Theoretical and experimental study on the nonlinear dynamics of wheel-shimmy

Sandor Beregi^*, Denes Takacs, Gergely Gyebroszki, Gabor Stepan

^*Corresponding author for this work

Department of Engineering Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

4 Citations (Scopus)

Abstract

The dynamics of the one-degree-of-freedom model of a towed wheel is investigated with the help of delayed tyre model. The partial side slip in the contact region is also considered, leading to an infinite-dimensional, piecewise-smooth system of governing equations. The nonlinear behaviour of the system is explored by numerical continuation of the periodic solutions. Thus, we encounter bistable domains in the space of model parameters which are otherwise undetectable by the standard quasi-steady-state tyre models. The presence of these parameter domains is also confirmed by experiments showing qualitatively similar behaviour as predicted by our calculations.

Original language	English
Pages (from-to)	2581-2593
Number of pages	13
Journal	Nonlinear Dynamics
Volume	98
Issue number	4
DOIs	https://doi.org/10.1007/s11071-019-05225-w
Publication status	Published - 1 Dec 2019

Bibliographical note

Funding Information:
Open access funding provided by Budapest University of Technology and Economics (BME).

Funding Information:
This research was funded by the National Research, Development and Innovation Office under Grant No. NKFI-128422.

Publisher Copyright:
© 2019, The Author(s).

Keywords

Bifurcation analysis
Non-smooth delayed tyre model
Wheel-shimmy

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10.1007/s11071-019-05225-w

Cite this

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title = "Theoretical and experimental study on the nonlinear dynamics of wheel-shimmy",

abstract = "The dynamics of the one-degree-of-freedom model of a towed wheel is investigated with the help of delayed tyre model. The partial side slip in the contact region is also considered, leading to an infinite-dimensional, piecewise-smooth system of governing equations. The nonlinear behaviour of the system is explored by numerical continuation of the periodic solutions. Thus, we encounter bistable domains in the space of model parameters which are otherwise undetectable by the standard quasi-steady-state tyre models. The presence of these parameter domains is also confirmed by experiments showing qualitatively similar behaviour as predicted by our calculations.",

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doi = "10.1007/s11071-019-05225-w",

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AU - Beregi, Sandor

AU - Takacs, Denes

AU - Gyebroszki, Gergely

AU - Stepan, Gabor

N1 - Funding Information: Open access funding provided by Budapest University of Technology and Economics (BME). Funding Information: This research was funded by the National Research, Development and Innovation Office under Grant No. NKFI-128422. Publisher Copyright: © 2019, The Author(s).

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N2 - The dynamics of the one-degree-of-freedom model of a towed wheel is investigated with the help of delayed tyre model. The partial side slip in the contact region is also considered, leading to an infinite-dimensional, piecewise-smooth system of governing equations. The nonlinear behaviour of the system is explored by numerical continuation of the periodic solutions. Thus, we encounter bistable domains in the space of model parameters which are otherwise undetectable by the standard quasi-steady-state tyre models. The presence of these parameter domains is also confirmed by experiments showing qualitatively similar behaviour as predicted by our calculations.

AB - The dynamics of the one-degree-of-freedom model of a towed wheel is investigated with the help of delayed tyre model. The partial side slip in the contact region is also considered, leading to an infinite-dimensional, piecewise-smooth system of governing equations. The nonlinear behaviour of the system is explored by numerical continuation of the periodic solutions. Thus, we encounter bistable domains in the space of model parameters which are otherwise undetectable by the standard quasi-steady-state tyre models. The presence of these parameter domains is also confirmed by experiments showing qualitatively similar behaviour as predicted by our calculations.

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KW - Non-smooth delayed tyre model

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JO - Nonlinear Dynamics

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Theoretical and experimental study on the nonlinear dynamics of wheel-shimmy

Abstract

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Keywords

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