IDENTIFICATION OF A NONLINEAR BEAM THROUGH A STOCHASTIC MODEL BASED ON A DUFFING OSCILLATOR
Luis Gustavo Giacon Villani1; Samuel da Silva1; Americo Cunha Jr2
1 Univ Estadual Paulista (UNESP) - Faculdade de Engenharia de Ilha Solteira; 2 Universidade do Estado do Rio de Janeiro (UERJ) - Instituto de Matemática e Estatística
Resumo
This work proposes a model of a nonlinear beamshaker as a Duffing oscillator. The modal parameters of the linear equivalent systems and the nonlinear stiffness are estimated by stochastic methods considering the restoring force surface method. The parameters probability density functions (PDFs) are estimated of nonparametric way and a stochastic model is obtained with confidence limits to the responses. The model is validated with new experimental data through Monte-Carlo simulations. The results have been shown the capability to describe the nonlinear behavior of the beam considering uncertainties quantification.
Palavras-chave: Stochastic Models; Modeling, Numerical Simulation and Optimization; Nonlinear Dynamics and Complex Systems; Duffing Oscillator