Bayesian model identification of higher-order frequency response functions for structures assembled by bolted joints

Author(s)

Teloli, Rafael de O. ^[1] ; da Silva, Samuel ^[1] ; Ritto, Thiago G. ^[2] ; Chevallier, Gael ^[3]

Affiliation

^[1] UNESP Univ Estadual Paulista, Fac Engn Ilha Solteira, Dept Engn Mecan, Av Brasil 56, BR-15385000 Ilha Solteira, SP - Brazil

^[2] UFRJ Univ Fed Rio de Janeiro, Dept Engn Mecan, BR-21945970 Rio De Janeiro, RJ - Brazil

^[3] Univ Bourgogne Franche Comte, FEMTO ST Inst, CNRS UFC ENSMM UTBM, Dept Appl Mech, 24 Chemin Epitaphe, F-25000 Besancon - France

• Document type: Journal article
• Source: MECHANICAL SYSTEMS AND SIGNAL PROCESSING; v. 151, APR 2021.
• Web of Science Citations: 4

Abstract

This paper proposes a procedure to identify a stochastic Bouc-Wen model for describing the dynamics of a structure assembled by bolted joints considering vibration data. The proposed identification approach is expressed into a Bayesian framework to take into account the data fluctuations related to uncertainties in the measurement process. The calibration of the model parameters uses the analytical expressions of the higher-order frequency response functions (FRFs) for approximating experimental measurements. The Metropolis-Hastings algorithm is employed for approximating posterior distributions. Once calibrated, the applicability of the probabilistic Bouc-Wen model is evaluated, and its dynamical behavior is compared with experimental measurements from the bolted structure. The results show that the stochastic version of the Bouc-Wen model can predict with adequate agreement, including hysteretic effects, the output of the jointed structure considering several excitation amplitudes. (c) 2020 Elsevier Ltd. All rights reserved. (AU)

• FAPESP's process: 19/06540-3 - Experimental identification of nonlinear joints using frequency domain techniques
• Grantee: Rafael de Oliveira Teloli
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate (Direct)
• FAPESP's process: 19/19684-3 - Nonlinear structural health monitoring of structures assembled by bolted joints
• Grantee: Samuel da Silva
• Support Opportunities: Regular Research Grants
• FAPESP's process: 16/21973-5 - New contribuitions on the analysis and identification of hysteretic mechanical systems: applications on Bouc-Wen oscillator
• Grantee: Rafael de Oliveira Teloli
• Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
• FAPESP's process: 17/15512-8 - Applications of model identification of guided wave propagation in composite structures for damage prognosis
• Grantee: Samuel da Silva
• Support Opportunities: Scholarships abroad - Research