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

Autor(es)

Miguel, Luccas Pereira ^[1] ; Teloli, Rafael de Oliveira ^[1] ; da Silva, Samuel ^[1]

Afiliação do(s) autor(es)

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

• Tipo de documento: Artigo Científico
• Fonte: MECHANICAL SYSTEMS AND SIGNAL PROCESSING; v. 143, SEP 2020.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 18/14528-0 - O balanço harmônico aplicado na análise experimental da histerese em junções parafusadas de estruturas
• Beneficiário: Luccas Pereira Miguel
• Modalidade de apoio: Bolsas no Brasil - Iniciação Científica
• Processo FAPESP: 17/15512-8 - Identificação de modelos de ondas guiadas para prognóstico de danos em estruturas de material compósito
• Beneficiário: Samuel da Silva
• Modalidade de apoio: Bolsas no Exterior - Pesquisa
• Processo FAPESP: 16/21973-5 - Novas contribuições na análise e identificação de sistemas mecânicos com histerese: aplicações no oscilador de Bouc-Wen
• Beneficiário: Rafael de Oliveira Teloli
• Modalidade de apoio: Bolsas no Brasil - Doutorado Direto