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Application of Volterra series in nonlinear mechanical system identification and in structural health monitoring problems

Grant number: 13/25148-0
Support type:Scholarships in Brazil - Doctorate (Direct)
Effective date (Start): March 01, 2014
Effective date (End): March 31, 2016
Field of knowledge:Engineering - Mechanical Engineering
Principal Investigator:Samuel da Silva
Grantee:Sidney Bruce Shiki
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
Associated scholarship(s):15/03560-2 - Evaluation of damage indexes for structural health monitoring in nonlinear structures, BE.EP.DD


Nonlinear structures are frequent in structural dynamics, mainly considering screwed components, with joints, clearance or with flexible components with large displacements. In this sense, the health monitoring of these structures based in classical modal parameters can fail since these concepts are fundamentally based in the superposition principle. In this way, the use of Volterra series for the identification of nonlinear systems is interesting since it is a generalization of the concept of convolution. This doctorate research project proposes the application of this technique in the development of techniques in structural health monitoring to nonlinear structures as a metric for damage detection and quantification. This methodology will be applied in experimental benchmark to verify the robustness of the strategy in real structures under linear and nonlinear structural variations. It is expected that the results show the advantages in the use of nonlinear models in structural dynamics. (AU)

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)
BUSSETTA, PHILIPPE; SHIKI, SIDNEY BRUCE; DA SILVA, SAMUEL. Nonlinear updating method: a review. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 39, n. 11, p. 4757-4767, NOV 2017. Web of Science Citations: 0.
SHIKI, SIDNEY B.; DA SILVA, SAMUEL; TODD, MICHAEL D. On the application of discrete-time Volterra series for the damage detection problem in initially nonlinear systems. STRUCTURAL HEALTH MONITORING-AN INTERNATIONAL JOURNAL, v. 16, n. 1, p. 62-78, JAN 2017. Web of Science Citations: 8.
BUSSETTA, PHILIPPE; SHIKI, SIDNEY BRUCE; DA SILVA, SAMUEL. Updating of a Nonlinear Finite Element Model Using Discrete-Time Volterra Series. LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES, v. 14, n. 7, p. 1183-1199, 2017. Web of Science Citations: 3.
Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
SHIKI, Sidney Bruce. Application of Volterra series in nonlinear mechanical system identification and in structural health monitoring problems. 2016. Doctoral Thesis - Universidade Estadual Paulista "Júlio de Mesquita Filho" Faculdade de Engenharia (Campus de Ilha Solteira)..

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