Statistical Modeling of Volterra Kernels Estimation for Uncertainty Quantification

• Grant number: 14/03179-4
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: May 01, 2014
• End date: October 31, 2015
• Field of knowledge: Engineering - Mechanical Engineering - Mechanics of Solids
• Principal Investigator: Samuel da Silva
• Grantee: Luis Gustavo Giacon Villani
• Host Institution: Faculdade de Engenharia (FEIS). Universidade Estadual Paulista (UNESP). Campus de Ilha Solteira. Ilha Solteira , SP, Brazil
• Associated research grant: 12/09135-3 - Structural health monitoring in nonlinear mechanical systems through Volterra models, AP.JP

Abstract

The main aim of this proposal is to study the quantification of uncertainties in the identification of Volterra kernels associated with a Duffing oscillator. The project intends to investigate by numerical simulations the uncertainties contained in the Volterra kernel identification to try to understand how they behave in function of the type of input applied, number of kernels considered, number of orthonormal basis, structure of nonlinearities, etc.. Once it is known this behavior, it would be possible to define a statistical confidence limit to quantify the uncertainties in a further procedure of damage detection