On the use of stochastic Bouc-Wen model for simulating viscoelastic internal variables from a finite element approximation of steady-rolling tire
Résumé
Reducing tire rolling resistance and energy loss is a topic of interest to the tire industry. Understanding and modeling these phenomena are essential to approach this problem and propose robust solutions. This work investigates alternative solutions and suggests a reduced-order model based on the Bouc-Wen hysteresis model to simulate viscoelastic internal variables from viscoelastic constitutive laws. Furthermore, this work aims to identify critical parameters in the reduced-order model and understand the effect of uncertainties on its responses. Thus, Sobol's indices are used to identify influential parameters of the reduced-order model that are later calibrated by Bayesian inference. Finally, the uncertainties are propagated, and the reduced-order model is validated using data of viscoelastic internal variables from the finite element approximation of a steady-rolling tire provided by Michelin. Satisfactory results are obtained, as the reduced-order model can simulate viscoelastic internal variables with a reduced computational cost for some branches of interest and its responses are in agreement with the experimental data.
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