On the use of Stochastic Bouc-Wen model for simulating viscoelastic internal variables from a finite element approximation of steady-rolling tire

Author(s)

Raqueti, Rafael da S. ; Teloli, Rafael de O. ; da Silva, Samuel ; Bussetta, Philippe ; Cunha Jr, Americo

• Document type: Journal article
• Source: JOURNAL OF VIBRATION AND CONTROL; v. N/A, p. 15-pg., 2022-09-21.

Abstract

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 suggests a reduced-order model based on the Bouc-Wen model to simulate internal variables from viscoelastic constitutive laws. Furthermore, sensitivity analysis is performed on the Bouc-Wen parameters to evaluate their influence on the system response and capture the full range of possible values that improve the predictive ability of the reduced-order model. This task is accomplished by calculating the Sobol's indices estimated from a Polynomial-Chaos expansion. Once the range of feasible model solutions is established, the reduced-order model is calibrated through 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. Satisfactory results are obtained, as the reduced-order model can simulate viscoelastic internal variables with a reduced computational cost for some branches of interest. Its responses are in agreement with the experimental data. (AU)

• FAPESP's process: 16/21973-5 - New contribuitions on the analysis and identification of hysteretic mechanical systems: applications on Bouc-Wen oscillator
• Grantee: Rafael de Oliveira Teloli
• Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
• FAPESP's process: 19/19684-3 - Nonlinear structural health monitoring of structures assembled by bolted joints
• Grantee: Samuel da Silva
• Support Opportunities: Regular Research Grants