New contribuitions on the analysis and identification of hysteretic mechanical systems: applications on Bouc-Wen oscillator

• Grant number: 16/21973-5
• Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
• Start date: June 01, 2017
• End date: July 31, 2021
• 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 scholarship(s): 19/06540-3 - Experimental identification of nonlinear joints using frequency domain techniques, BE.EP.DD

Abstract

The Bouc-Wen model is commonly used to describe the hysteretic behavior of some mechanical systems. In this model, the memory effects of inelastic behavior of the restoring force depends not only the instantaneous displacement but also on the history of the previous displacement. Among different approaches that can be used to describe the hysteretic behavior, the Volterra theory is an interesting strategy, since it represents the response of a system as a sum of linear and nonlinear components using multiple convolutions. However, the Volterra series are not able to describe non-smooth nonlinearities such as in systems with hysteresis. However, the Volterra series are not able to describe systems with hysteresis because it needs a memory term in order to assume the ergotic system hypothesis. In this way, this proposal presents the development of a new algorithm able to identify a model to be used in the identification of a Bouc-Wen oscillator with hysteresis from the Volterra series, considering two different approaches. The first one include the development of analytical expressions to estime higher-order frequency response functions for the Bouc-Wen oscillator via Volterra series and the Harmonic Probing method for conditions that all of the physical parameters are known. The second approach proposes the use of the expansion of Volterra series with adaptative orthonormal functions that make it possible to predict experimental responses of the Bouc-Wen oscillator, taking into account an analysis and quantification of uncertainties that are inherent to the data acquisition process in the system. Therefore, the Volterra kernels and the orthonormal functions should be estimated stochastically. This project, besides reporting the candidate experience in the scientific field, explains the motivation, background and the work plan for the development of the thesis. (AU)

Scientific publications

(7)

(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)

TELOLI, RAFAEL DE O.; BUTAUD, PAULINE; CHEVALLIER, GAEL; DA SILVA, SAMUEL. Good practices for designing and experimental testing of dynamically excited jointed structures: The Orion beam. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, v. 163, JAN 15 2022. (19/19684-3, 19/06540-3, 16/21973-5)

MIGUEL, LUCCAS PEREIRA; TELOLI, RAFAEL DE OLIVEIRA; DA SILVA, SAMUEL. Some practical regards on the application of the harmonic balance method for hysteresis models. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, v. 143, SEP 2020. (18/14528-0, 17/15512-8, 16/21973-5)

TELOLI, RAFAEL DE O.; DA SILVA, SAMUEL; RITTO, THIAGO G.; CHEVALLIER, GAEL. Bayesian model identification of higher-order frequency response functions for structures assembled by bolted joints. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, v. 151, APR 2021. (19/06540-3, 19/19684-3, 16/21973-5, 17/15512-8)

RAQUETI, RAFAEL DA S.; TELOLI, RAFAEL DE O.; DA SILVA, SAMUEL; BUSSETTA, PHILIPPE; CUNHA JR, AMERICO. On the use of Stochastic Bouc-Wen model for simulating viscoelastic internal variables from a finite element approximation of steady-rolling tire. JOURNAL OF VIBRATION AND CONTROL, v. N/A, p. 15-pg., 2022-09-21. (16/21973-5, 19/19684-3)

TELOLI, RAFAEL DE O.; DA SILVA, SAMUEL. A new way for harmonic probing of hysteretic systems through nonlinear smooth operators. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, v. 121, p. 856-875, APR 15 2019. (17/15512-8, 16/21973-5)

MIGUEL, LUCCAS PEREIRA; TELOLI, RAFAEL DE OLIVEIRA; DA SILVA, SAMUEL. Bayesian model identification through harmonic balance method for hysteresis prediction in bolted joints. NONLINEAR DYNAMICS, v. 107, n. 1, NOV 2021. (19/19684-3, 16/21973-5, 20/07449-7, 17/15512-8)

TELOLI, RAFAEL DE OLIVEIRA; VILLANI, LUIS G. G.; DA SILVA, SAMUEL; TODD, MICHAEL D.. On the use of the GP-NARX model for predicting hysteresis effects of bolted joint structures. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, v. 159, p. 20-pg., 2021-03-19. (19/19684-3, 16/21973-5, 15/25676-2, 17/24977-4)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

TELOLI, Rafael de Oliveira. New contributions in the analysis and identification of mechanical systems with hysteresis. 2021. Doctoral Thesis - Universidade Estadual Paulista (Unesp). Faculdade de Engenharia. Ilha Solteira Ilha Solteira.