Eventos Anais de eventos
DINAME 2017
XVII International Symposium on Dynamic Problems of Mechanics
Uncertainty quantification in Volterra series analysis of a nonlinear beam considering the noise effect.
Submission Author:
Luis Gustavo Giacon Villani , ES
Co-Authors:
Luis Gustavo Giacon Villani, Samuel da Silva, Americo Barbosa da Cunha Junior
Presenter: Luis Gustavo Giacon Villani
doi://10.26678/ABCM.DINAME2017.DIN17-0035
Abstract
Many mechanical systems can operate with strong nonlinear behavior, making the negligence of such effects a source of errors in the prediction of the system response. A methodology, that has been successfully used, to predict the behavior of such systems is based on the identification of Volterra kernels. However, this technique is subject to uncertainties that are induced by the measurements noise. This work presents a study that assesses the influence of these uncertainties in the Volterra kernels, expanded with Kautz functions, and their propagation through the non-linear dynamic system. The proposed method is applied to a nonlinear beam, considering the presence of uncertainties caused by white noise in the measurements. Monte-Carlo simulations are used to compute the propagation of uncertainties in Volterra kernels. The results show that the kernels are greatly influenced by the presence of noise and confidence limits for the system responses can be established.
Keywords
nonlinear dynamics, Volterra series, Uncertainties quantification, Uncertainty quantification.
