Validation of a Steady-State Transport Analysis for Rolling Treaded Tires

Qi, J.; Herron, J. R.; Sansalone, Keith H. F.; Mars, W. V.; Du, Zhaojun; Snyman, Maritha; Surendranath, Harishbabu

doi:10.2346/1.2768974

Cited by 28 publications

(13 citation statements)

References 21 publications

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“…One of the issues is to accelerate the convergence. 14 An alternative method was presented in the work of Qi et al, 15 but it is mainly restricted to small time periods. Another strategy is to use shooting-type techniques, which solve iteratively an initial value problem over one time period, and successively correct the initial state to cancel the periodicity error observed at the end of the period.…”

Section: Motivation and State Of The Artmentioning

confidence: 99%

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Newton‐Krylov method for computing the cyclic steady states of evolution problems in nonlinear mechanics

Khristenko

Tallec

2018

Numerical Meth Engineering

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This work is focused on the Newton-Krylov technique for computing the steady cyclic states of evolution problems in nonlinear mechanics with space-time periodicity conditions. This kind of problems can be faced, for instance, in the modeling of a rolling tire with a periodic tread pattern, where the cyclic state satisfies "rolling" periodicity condition, including shifts both in time and space. The Newton-Krylov method is a combination of a Newton nonlinear solver with a Krylov linear solver, looking for the initial state, which provides the space-time periodic solution. The convergence of the Krylov iterations is proved to hold in presence of an adequate preconditioner. After preconditioning, the Newton-Krylov method can be also considered as an observer-controller method, correcting the transient solution of the initial value problem after each period. Using information stored while computing the residual, the Krylov solver computation time becomes negligible with respect to the residual computation time. The method has been analyzed and tested on academic applications and compared with the standard evolution (fixed point) method. Finally, it has been implemented into the Michelin industrial code, applied to a full 3D rolling tire model.

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Section: Motivation and State Of The Artmentioning

confidence: 99%

“…and for any further period it is given by (15), provided that we have (16) and that we satisfy the space-time shift invariance property…”

Section: Time-continuous Problemmentioning

confidence: 99%

Newton‐Krylov method for computing the cyclic steady states of evolution problems in nonlinear mechanics

Khristenko

Tallec

2018

Numerical Meth Engineering

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“…In order to analyze the effect of vehicle speed on the groove wander, a steady-state transport scheme is applied for rolling analysis, and different vehicle speed. As with well-known procedures for axisymmetric tires [11]- [15], the procedure uses a mixed Eulerian/Lagrangian kinematic described in an Eulerian manner and relative deformation is described in a Lagrangian manner. Figure 15 shows peak-to-peak lateral force with respect to the vehicle speeds and the road groove designs.…”

Section: Parametric Studymentioning

confidence: 99%

Finite Element Analysis for Groove Wander Prediction of Passenger Car Tires with the Longitudinal Tread Grooves

Jeong¹,

Kang²,

Kim³

et al. 2016

ENG

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A finite element modeling technique is employed in this paper to predict the groove wander of longitudinal tread grooved tires. In generally, groove wander is the lateral force acting on a vehicle's wheel resulting from the combination of rain grooves. If the lateral force of tire is generated by groove wander, unexpected lateral motion of vehicle will happen and it makes drivers uncomfortable. This paper describes the effect of groove wander according to the shape condition of tire tread groove and highway groove using the finite element analysis based on a static loading or a steady-state rolling assumption. The road groove can be located anywhere relative to the longitudinal tread groove. Therefore, the lateral force of the tire is changing depending on the location of the groove road. The numerical results for groove wander prediction of the longitudinal tread grooved tires are compared with the subjective evaluation. It is found that the waveform for the tire with varying grooved road position has a peak-to-peak lateral force in order to estimate the rating of groove wander. The effect of the road groove width and the pitch length on the peak-topeak lateral force of tire is discussed. It is found that the prediction of FEA-based groove wander model using finite element analysis will be useful for the reliability design of the tire tread pattern design.

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“…The default value of 0.005 is compared with a more relaxed value of 0.02 which corresponds to values found in the literature (e.g., [5,9]). …”

Section: Friction Model Settingmentioning

confidence: 99%

Normal and shear forces in the contact patch of a braked racing tyre. Part 1: results from a finite-element model

Gruber

Sharp

Crocombe

2012

Vehicle System Dynamics

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Validation of a Steady-State Transport Analysis for Rolling Treaded Tires

Cited by 28 publications

References 21 publications

Newton‐Krylov method for computing the cyclic steady states of evolution problems in nonlinear mechanics

Newton‐Krylov method for computing the cyclic steady states of evolution problems in nonlinear mechanics

Finite Element Analysis for Groove Wander Prediction of Passenger Car Tires with the Longitudinal Tread Grooves

Normal and shear forces in the contact patch of a braked racing tyre. Part 1: results from a finite-element model

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