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Wide estimation of dynamic properties of viscoelastic materials using Bayesian inference

Balbino Fernanda Oliveira, Préve Cíntia Teixeira, Munaro Marilda, Ribeiro Junior Paulo Justiniano, de Oliveira Lopes Eduardo Márcio

Journal of Theoretical and Applied Mechanics

2021

Vol. 59 nr 3

369–-384

The dynamic behavior of a typical viscoelastic material in wide ranges of frequency and tem- perature is characterized. A four-parameter fractional derivative model was considered in the frequency domain along with the Arrhenius and WLF models, also for including tempera- ture as a source of variation. A Bayesian framework is adopted and inferences on parameters governing the model quantities of interest are based on samples from posterior distributions obtained by Monte Carlo Markov Chain (MCMC) methods. Posterior predictive checks were conducted to ensure the goodness-of-fit of the model. Based on the results we argue that the Bayesian framework allows more complete and suitable inference about dynamic properties of typical viscoelastic materials, as required for broad and sound vibration control actions.