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Statistical Modeling of Volterra Kernels Estimation for Uncertainty Quantification

Grant number: 14/03179-4
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): May 01, 2014
Effective date (End): October 31, 2015
Field of knowledge:Engineering - Mechanical Engineering - Mechanics of Solids
Principal Investigator:Samuel da Silva
Grantee:Luis Gustavo Giacon Villani
Home 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


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