Uncertainty Analysis in Volterra Series Applied in a Nonlinear System.

Luis Gustavo Giacon Villani¹; Samuel da Silva¹; Americo Cunha Jr²

¹ UNESP - Universidade Estadual Paulista, Faculdade de Engenharia de Ilha Solteira.; ² UERJ - Universidade do Estado do Rio de Janeiro, Instituto de matemática e Estatística

doi:10.20906/CPS/COB-2015-1642

Resumo

The goal of this paper is to study the uncertainties in the identification of Volterra kernels applied in a single degree-of-freedom nonlinear model with cubic stiffness. Monte-Carlo simulations were performed for the identification of the kernels considering variations in the parameters of the motion equations, with the aim of verify how the kernels change with the presence of uncertainties. The results are evaluated by establishing confidence intervals in the kernels and in the frequency and time response. These results allow to propose a statistical decision if the the kernels are representative of the nonlinear behavior of the systems even with uncertainties.

Palavras-chave: Volterra series; Duffing oscillator; Nonlinear Systems; Uncertainty Quantification