Literature survey of transient dynamic response tyre models

Chang, Yin-ping; El–Gindy, Moustafa; Streit, D. A.

doi:10.1504/ijvd.2004.004063

Cited by 9 publications

(5 citation statements)

References 36 publications

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“…The other part of the problem is originated in the wheel-ground contact. Advanced finite element calculations need long computation times even in stationary cases; see (Kalker, 1991) for railway wheels and (Böhm, 1989;Chang et al, 2004) for tyres. Even nowadays, the dynamic contact problems usually require special codes, large computational power, and still, there are no analytical results available to check these calculations.…”

Section: Introductionmentioning

confidence: 99%

Delay effects in shimmy dynamics of wheels with stretched string-like tyres

Takács

Orosz

Stépàn

2009

European Journal of Mechanics - A/Solids

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The dynamics of wheel shimmy is studied when the self-excited vibrations are related to the elasticity of the tyre. The tyre is described by a classical stretched string model, so the tyre-ground contact patch is approximated by a contact line. The lateral deformation of this line is given via a non-holonomic constraint, namely, the contact points stick to the ground, i.e., they have zero velocities. The mathematical form of this constraint is a partial differential equation (PDE) with boundary conditions provided by the relaxation of deformation outside the contact region. This PDE is coupled to an integro-differential equation (IDE), which governs the lateral motion of the wheel. Although the conventional stationary creep force idea is not used here, the coupled PDE-IDE system can still be handled analytically. It can be rewritten as a delay differential equation (DDE) by assuming travelling wave solutions for the deformation of the contact line. This DDE expresses the intrinsic memory effect of the elastic tyre. The linear stability charts and the corresponding numerical simulations of the nonlinear system reveal periodic and quasi-periodic selfexcited oscillations that are also confirmed by simple laboratory experiments. The observed quasi-periodic vibrations cannot be explained in single degree-of-freedom wheel models subject to a creep force.

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Section: Introductionmentioning

confidence: 99%

Delay effects in shimmy dynamics of wheels with stretched string-like tyres

Takács

Orosz

Stépàn

2009

European Journal of Mechanics - A/Solids

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“…Thus, the longitudinal operation of the suspension and its torsional compliance is taken into account. A simplified model of wheel-road interaction was adopted, neglecting the phenomenon of tire relaxation length, with a simplified description of the stabilizing moment based on [29][30][31]. Despite the simplifying assumptions made, it represents the steering dynamics well and is sufficient to demonstrate the analysis method presented in this paper.…”

Section: Methods and Tools Usedmentioning

confidence: 99%

Analysis of the Effect of Mass Parameters on Motorcycle Vibration and Stability

Dębowski

2021

Energies

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This paper presents a vibration analysis method and an example of its application to evaluate the influence of mass parameters on torsional vibration frequencies in the steering system of a motorcycle. The purpose of this paper is to analyze to what extent vibration frequencies can change during their daily operation. These changes are largely due to the ratio of vehicle weight to driver and load. The complex dynamics make it very difficult to conduct research using simple models. It is difficult to observe the influence of individual parameters because they are strongly interrelated. This paper provides a description of the vibration analysis method, and the results are presented in the form of Bode diagrams and tables. On this basis, it was found that the driver, deciding on the way of using the vehicle and introducing modifications in it, influences the resonant frequencies of the steering system. Typical exploitation factors, on the other hand, do not cause significant changes, although they may contribute to increasing the sensitivity of the system to vibrations. The conducted analysis also showed some nonlinear changes in the dynamics of the system with linear changes of the parameter values.

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“…For the vehicle dynamics perspective, these modelling efforts have typically centered around estimating vertical, longitudinal, and lateral force from vertical displacement, % slip, and slip angle. To date there is a wealth of knowledge on this topic as well as many survey papers and books discussing the various methods and their relative performance (Chang et al, 2004;Pacejka, 2005;Li et al, 2014;Khaleghian et al, 2017). These range from basic semi-empirical approaches like the Magic Formula (Pacejka and Bakker, 1992) and TMEasy (Hirschberg et al, 2007) to high fidelity lumped-mass and Finite Element approaches such as FTire (Gipser, 2007) and CDTire (Gallrein and Bäcker, 2007).…”

Section: Tyre Models For Intelligent Tyre Conceptsmentioning

confidence: 99%