Application of nonlinear tyre models to analyse shimmy

Ran, Shujun; Besselink, Igo Igo; Nijmeijer, H.

doi:10.1080/00423114.2014.901542

Cited by 34 publications

(25 citation statements)

References 12 publications

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“…It is worth to mention that while the nonlinear dynamics of wheel-shimmy has been analysed in many studies using quasi steady-state tyre model [16], or a simplified version of the stretched-string model like Von Schlippe's approximation in [17], a subcritical Hopf bifurcation seems to occur only if both the delay and the friction are taken into account in the contact. This is also verified by our analysis demonstrating that although the lateral force generated in steady-state by the semi empirical Magic Formula tyre model was in better accordance with the measurements it does not provide a bistable parameter domain beside the linearly unstable region as experienced in measurements.…”

Section: Discussionmentioning

confidence: 99%

Analysis of the tyre–road interaction with a non-smooth delayed contact model

Beregi

Takács²

2018

Multibody Syst Dyn

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In this study a tyre model is developed for multibody dynamics software. Vibrations of a towed wheel excited by the lateral deformation of the tyre are analysed with the help of numerical simulations. In our calculations the time delay in the tyre-ground contact as well as the partial side slip are considered making it possible to capture the dynamic deformation of the contact patch centre-line with relatively low number of parameters and computation time. As a result the hysteresis effect in the stability of the rectilinear motion can be identified, which would be undetectable by simpler, quasi steady-state tyre models. Thus, bistable parameter regions appear in the stability charts where for the same set of system parameters a stable equilibrium and a periodic orbit coexist. The simulations are compared with measurements carried out on an experimental rig consisting of a wheel and a caster running on a conveyor belt. Keywords tyre-road contact • dynamic tyre • deformation • non-smooth delayed tyre model • lateral vibrations • wheel shimmy ACKNOWLEDGEMENT This research has been supported by theÚNKP-17-13-I. New National Excellence Program of the Ministry of Human Capacities.

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Section: Discussionmentioning

confidence: 99%

Analysis of the tyre–road interaction with a non-smooth delayed contact model

Beregi

Takács²

2018

Multibody Syst Dyn

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“…In this paper, the dynamic stability is quantized by combining with the vehicle sideslip-feature phase plane consisting of vehicle sideslip angle β and sideslip angle rate β · , which can be used to feature the unstable or near-unstable conditions. 28,29…”

Section: Path Tracking Basing Aph-mpcmentioning

confidence: 99%

An adaptive-prediction-horizon model prediction control for path tracking in a four-wheel independent control electric vehicle

Zhang

Zong

Chen

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part D:

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An adaptive-prediction-horizon model prediction control-based path tracking controller for a four-wheel independent control electric vehicle is designed. Unlike traditional model prediction control with fixed prediction horizon, this paper devotes to satisfy the varied path tracking demand by adjusting online the prediction horizon of model prediction control according to its effect on vehicle dynamic characteristics. Vehicle dynamic stability quantized with the vehicle sideslip-feature phase plane is preferentially considered in the prediction horizon adjustment. For stability during switching prediction horizon and for robustness during path tracking, the numerical problem inherent in the adaptive-prediction-horizon model prediction control is analysed and solved by introducing exponentially decreasing weight. Subsequently, the desired motion for path tracking with the four-wheel independent control electric vehicle is realized with a hierarchical control structure. Simulation results finally illustrate the effectiveness of the proposed method.

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“…Taking the lateral velocity v and the yaw rate ω as state variables, equation (9) can be transformed into state space form, as given in equations (10) and (11):…”

Section: Dynamic Model Of Vehiclementioning

confidence: 99%

“…Lu et al [8] investigated the global response of vehicle shimmy system with multiclearance joints by using the point mapping method and analyzed the dynamic mechanism for vehicle shimmy based on energy input. Ran et al [9] adopted linear and nonlinear techniques, including bifurcation analysis, to analyze the shimmy stability of a trailing wheel suspension system and evaluate the differences between tire models. ey found that although the nonlinear tire models did not change the stability of equilibria, they determined the magnitude of the oscillation.…”

Section: Introductionmentioning

confidence: 99%

Hopf Bifurcation Characteristics of the Vehicle with Rear Axle Compliance Steering

Chen

Zhang

et al. 2019

Shock and Vibration

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To overcome the shortage of traditional rear axle compliance steering (RACS) technology, a kind of viscoelastic smart material is introduced into the rear suspension of a vehicle to construct rear wheel semiactive steering system. is article focuses on the nonlinear dynamic behavior of the vehicle with RACS incorporating viscoelastic smart material. First of all, considering the tire nonlinearity and the fractional derivative constitutive relation of the viscoelastic material, the nonlinear dynamic model of the vehicle with RACS is formulated. en, the lateral dynamic behavior of the vehicle with RACS is demonstrated through numerical experiments. Finally, some factors that influence shimmy of the compliance steering wheel are investigated. Numerical results demonstrate the Hopf bifurcation characteristics of the vehicle with RACS and disclose the influence factors of Hopf bifurcation characteristics for the vehicle with RACS, which lay the theoretical foundation for the development of the rear wheel semiactive steering technology.

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Application of nonlinear tyre models to analyse shimmy

Cited by 34 publications

References 12 publications

Analysis of the tyre–road interaction with a non-smooth delayed contact model

Analysis of the tyre–road interaction with a non-smooth delayed contact model

An adaptive-prediction-horizon model prediction control for path tracking in a four-wheel independent control electric vehicle

Hopf Bifurcation Characteristics of the Vehicle with Rear Axle Compliance Steering

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