The In-Plane Dynamics of Tyres on Uneven Roads

Zegelaar, P.W.A.; Pacejka, Hans B.

doi:10.1080/00423119608969231

Cited by 62 publications

(25 citation statements)

References 3 publications

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“…A comprehensive discussion on the variants of the ring equations of motion, their derivation and the modal behaviour characteristics may be found in [44]. Tyre modelling approaches based on analytical ring models have been presented, among others, in [10,[25][26][27][28] and [17](p.757-784). The ring model properties used in this work are given in tables B1 and B2.…”

Section: Appendix B the Ring On Elastic Foundation Modelmentioning

confidence: 99%

“…The frequently adopted assumption of inextensibility -see [27,28] and [29](p. 167, 189)-is disregarded in this study for two reasons: Firstly, belt extensibility allows for the simulation of the effects of inflation pressure, which are vital to the contact behaviour, as will be explained later. Secondly, the modal range required to simulate accurately the contact behaviour extends to an associated frequency range in which the tyre cannot be assumed to be inextensible, as will be later (a) Radial tread element and its contact behaviour.…”

Section: The Concept Of Dynamic Contact Simulationmentioning

confidence: 99%

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Frictional contact behaviour of the tyre: the effect of tread slip on the in-plane structural deformation and stress field development

Tsotras

Mavros

2010

Vehicle System Dynamics

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Citation: TSOTRAS, A. and MAVROS, G., 2010. Frictional contact behaviour of the tyre: the effect of tread slip on the in-plane structural deformation and stress field development. Vehicle System Dynamics, 48 (8) The analysis of the in-plane deformation of the tyre in relation to the frictional contact between the road and the tread is a crucial first step in the understanding of its contribution to the longitudinal dynamics of a vehicle. In this work the physical mechanism of the generation of the two-dimensional contact pressure distribution for a non-rolling tyre is studied. Towards this aim, a physical tyre model is constructed, consisting of an analytical ring under pretension, a non-linear sidewall foundation, and a discretised foundation of viscoelastic elements, representing the tread. Tread behaviour is examined first, with focus on the development of shear micro-slip. The tread simulation is enhanced with the combination of radial and tangential tread elements and the benefits of such an approach are identified. Subsequently, the contact of the complete model is examined by implementing an algorithm for transient simulations in the time domain. The effects of the imposed vertical load and sidewall non-linearity on the contact stress and strain fields are identified. The modelling approach is validated by comparison to published experimental results. The physical mechanism that couples the torsional and horizontal/vertical deformations of the carcass with the frictional forces at the tread is identified and discussed in detail. The proposed modelling approach is found appropriate for the description of the development of the two dimensional contact pressure field, as a function of the frictional potential of the contact.

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Section: Appendix B the Ring On Elastic Foundation Modelmentioning

confidence: 99%

Section: The Concept Of Dynamic Contact Simulationmentioning

confidence: 99%

Frictional contact behaviour of the tyre: the effect of tread slip on the in-plane structural deformation and stress field development

Tsotras

Mavros

2010

Vehicle System Dynamics

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“…The generally unreliable responses of the suspension (multibody) dynamic models are often due to the inadequate modelling of the complex non-linear dynamical behaviour of both the tyre and the bushings [2]. Accurate tyre models simulating the motion over a cleat have been developed [3][4][5][6][7]. The parameter identification of such tyre models is generally costly and time consuming.…”

Section: Introductionmentioning

confidence: 99%

On the Testing of Vibration Performances of Road Vehicle Suspensions

2007

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Both a test rig and a method are presented for the indoor testing of vibration performances of road vehicle suspension systems. A suspension (corner) has been positioned on a rotating drum (2.6 m diameter) placed in the Laboratory for the Safety of Transport of the Politecnico di Milano. The suspension system is excited by means of cleats fixed to the working surface of the rotating drum. The forces and the moments acting at the suspension-chassis joints are measured in the frequency range 0–120 Hz. Five special six-axis load cells have been conceived, manufactured, calibrated and employed. Transient wheel motions have been recorded. The influence of the vehicle speed on the relevant vibration performance indexes has been assessed. An approach for the identification of the suspension damping characteristics is introduced. A full and accurate characterization of a vehicle suspension system has been performed

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“…SIDEWALL REPRESENTATION Although the ring equations of motion incorporate a two-dimensional linear stiffness foundation (k r ,k θ ), representing the sidewall of the tyre, this approach is known to result in contact reaction force overestimation [11,23,25,26]. The radial buckling-softening-behaviour of the actual sidewall offers a force reduction mechanism.…”

Section: Model Descriptionmentioning

confidence: 99%

“…Although the necessary modal/frequency range of study for the tyre behaviour simulation in vibration and vibration transmission studies has been long ago identified and discussed [21,22,23], the effect of the breadth of the range in the accuracy of the representation of the contact has not been investigated in depth. In the present study, the interaction between the belt frictional contact deformation and the predicted two-dimensional contact pressure distribution is investigated and the crucial role of the vertical load/deformation is identified.…”

Section: Introductionmentioning

confidence: 99%

A Modal-Based Derivation of Transient Pressure Distribution Along the Tyre-Road Contact

Tsotras¹,

Mavros²

2009

SAE Int. J. Passeng. Cars – Mech. Syst.

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The two-dimensional, frictional tyre-road contact interaction is investigated. A transient contact algorithm is developed, consisting of an analytical belt model, a non linear sidewall structure and a discretized viscoelastic tread foundation. The relationship between the magnitude/shape of the predicted two-dimensional pressure distribution and the corresponding belt deformation is identified. The effect of vertical load and the role of sidewall non linearity are highlighted. The modal expansion/reduction method is proposed for the increase of the computational efficiency and the effect of the degree of reduction on the simulation accuracy is presented. The qualitative results are physically explained through the participation of certain modes in the equilibrium solution, offering directions for the application of the modal reduction method in shear force oriented tyre models.

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The In-Plane Dynamics of Tyres on Uneven Roads

Cited by 62 publications

References 3 publications

Frictional contact behaviour of the tyre: the effect of tread slip on the in-plane structural deformation and stress field development

Frictional contact behaviour of the tyre: the effect of tread slip on the in-plane structural deformation and stress field development

On the Testing of Vibration Performances of Road Vehicle Suspensions

A Modal-Based Derivation of Transient Pressure Distribution Along the Tyre-Road Contact

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