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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Some practical regards on the application of the harmonic balance method for hysteresis models

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Miguel, Luccas Pereira [1] ; Teloli, Rafael de Oliveira [1] ; da Silva, Samuel [1]
Total Authors: 3
[1] Univ Estadual Paulista, UNESP, Fac Engn Ilha Solteira, Dept Engn Mecan, Av Brasil 56, Ilha Solteira 15385000, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Web of Science Citations: 0

Describing hysteretic systems with a closed-form solution is a challenging task due to some pitfalls regarding the non-smooth and memory effect mechanisms that do not permit, for example, to apply conventional frequency domain methods. Consequently, it is necessary to use some previous smoothing scheme to approximate the hysteresis loop. Thus, this work proposes a new way for approximating the hysteresis loops analytically using a truncated Taylor series as a simple and effective smoothing procedure to enable the use of the harmonic balance method. Two benchmark hysteretic systems, which were not addressed yet by closed-form solutions obtained by the harmonic balance method, are simulated to demonstrate the benefits of the proposed strategy. The first one is a BoucWen oscillator and the second one is a LuGre model. The comparison with numerical integrations and other literature methods have shown that the obtained analytical solutions of the suggested smoothed hysteresis loops are adequate to describe the fundamental dynamics in both models using a feasible frequency domain approximation. (C) 2020 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 18/14528-0 - Experimental analysis of hysteresis of bolted joints using harmonic balance method
Grantee:Luccas Pereira Miguel
Support Opportunities: Scholarships in Brazil - Scientific Initiation
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
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)