Application of Volterra series in time-variant nonlinear models

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

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.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

GIACON VILLANI, LUIS GUSTAVO; DA SILVA, SAMUEL; CUNHA, AMERICO, JR.; VESTRONI, F; ROMEO, F; GATTULLI, V. Damage detection in an uncertain nonlinear beam. X INTERNATIONAL CONFERENCE ON STRUCTURAL DYNAMICS (EURODYN 2017), v. 199, p. 6-pg., 2017-01-01. (12/09135-3, 15/25676-2, 14/02971-6)