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Application of Volterra series in time-variant nonlinear models

Grant number: 14/02971-6
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): July 01, 2014
Effective date (End): June 30, 2016
Field of knowledge:Engineering - Mechanical Engineering
Principal Investigator:Samuel da Silva
Grantee:Rafael de Oliveira Teloli
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


In recent year, the identification of mechanical systems is going through great challenges due to the difficult in reproduce the engineering structures with mathematical modelling, which mostly are essentially nonlinear. A reasonable way to identify the nonlinear systems are the Volterra series expandend in Kautz filters, which are study object of the project Jovem Pesquisador FAPESP 12/09135-3. However, these series how are used can not describe the behaviour of the free response of nonlinear system, because it lacks a memory parameter in order to take the hypothesis of ergotic system. Thus, this project aims develop Volterra series expanded in adaptative Kautz filters, implemented with method of multiple scales which consider the expansion representing the response of the system to be a function of multiple independent variables which changes with respect the time, becoming fully possible describe the free response of nonlinear mechanical systems.

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