Structural health monitoring in nonlinear mechanical systems through Volterra models

• Grant number: 12/09135-3
• Support Opportunities: Research Grants - Young Investigators Grants
• Start date: October 01, 2012
• End date: September 30, 2016
• Field of knowledge: Engineering - Mechanical Engineering - Mechanics of Solids
• Principal Investigator: Samuel da Silva
• Grantee: Samuel da Silva
• Host Institution: Faculdade de Engenharia (FEIS). Universidade Estadual Paulista (UNESP). Campus de Ilha Solteira. Ilha Solteira , SP, Brazil
• Associated researchers: Michael John Brennan ; Vicente Lopes Junior
• Associated scholarship(s): 15/25676-2 - Robust damage detection in uncertain nonlinear systems, BP.DD; 14/02971-6 - Application of Volterra series in time-variant nonlinear models, BP.IC; 14/03179-4 - Statistical Modeling of Volterra Kernels Estimation for Uncertainty Quantification, BP.IC; 13/25148-0 - Application of Volterra series in nonlinear mechanical system identification and in structural health monitoring problems, BP.DD; 13/09008-4 - Experimental characterization of nonlinear mechanical systems using Volterra models: applications in damage detection, BP.MS

Abstract

The nonlinear behavior of the mechanical system can mask conventional metrics for structural health monitoring (SHM) used for damage detection based on vibration or electrical measures performed by PZTs. Thus, it is necessary to consider techniques able to take into account the non-linear relations between input/output signals in those systems. Unfortunately, the non-linear tools for SHM applications are not developed in a satisfactory way as the linear counterpart. So, the present research project proposes to contribute with new tools and techniques for the purpose of detecting, locating and quantifying the severity of damage in mechanical systems considering located non-linearities. The proposed methodologies involve the use of discrete models of Volterra and Wiener, orthogonal Kautz filters, non-parametric methods of identification and statistical tools for grouping and separation of classes. This project describes the basic state of the art in these topics and what are the points considered in this plan, as well as contributions and expected results, methodology and implementation schedule. The results will be evaluated numerically from computer simulations and experimental tests on benchmarks structures for comparisons in order to illustrate the advantages, drawbacks and further steps needs for practical applications. (AU)

Scientific publications

(11)

(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. 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. (13/25148-0, 12/09135-3)

SCUSSEL, OSCAR; DA SILVA, SAMUEL. The harmonic probing method for output-only nonlinear mechanical systems. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 39, n. 9, p. 3329-3341, SEP 2017. (12/09135-3)

SCUSSEL, OSCAR; DA SILVA, SAMUEL. Output-Only Identification of Nonlinear Systems Via Volterra Series. JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, v. 138, n. 4, AUG 2016. (12/09135-3)

SHIKI, SIDNEY BRUCE; LOPES, JR., VICENTE; DA SILVA, SAMUEL. Identification of nonlinear structures using discrete-time Volterra series. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 36, n. 3, p. 523-532, MAY 2014. (12/04757-6, 12/09135-3)

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. (13/25148-0, 15/03560-2, 12/09135-3)

GIACON VILLANI, LUIS GUSTAVO; DA SILVA, SAMUEL; CUNHA JR, AMERICO. An optimizationless stochastic volterra series approach for nonlinear model identification. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 44, n. 6, p. 8-pg., 2022-06-01. (12/09135-3, 15/25676-2)

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)

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. (13/25148-0, 12/09135-3)

VILLANI, LUIS G. G.; DA SILVA, SAMUEL; CUNHA, JR., AMERICO. Damage detection in uncertain nonlinear systems based on stochastic Volterra series. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, v. 125, p. 288-310, JUN 15 2019. (12/09135-3, 15/25676-2)

TANG, BIN; BRENNAN, M. J.; LOPES, JR., V.; DA SILVA, S.; RAMLAN, R.. Using nonlinear jumps to estimate cubic stiffness nonlinearity: An experimental study. PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF ME, v. 230, n. 19, p. 3575-3581, DEC 2016. (12/09135-3)

VILLANI, LUIS G. G.; DA SILVA, SAMUEL; CUNHA JR, AMERICO; TODD, MICHAEL D.. Damage detection in an uncertain nonlinear beam based on stochastic Volterra series: An experimental application. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, v. 128, p. 463-478, AUG 1 2019. (15/25676-2, 17/15512-8, 12/09135-3, 17/24977-4)