A new way for harmonic probing of hysteretic systems through nonlinear smooth operators

Autor(es)

Teloli, Rafael de O. ^[1] ; da Silva, Samuel ^[1]

Afiliação do(s) autor(es)

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

• Tipo de documento: Artigo Científico
• Fonte: MECHANICAL SYSTEMS AND SIGNAL PROCESSING; v. 121, p. 856-875, APR 15 2019.
• Citações Web of Science: 0

Resumo

This paper proposes a new way to approach hysteresis with the rate-independent property through an analytical response for the non-smooth hysteresis loop using frequency response approximations. The method consists of rewriting the loading and unloading loop using smooth operators and after applying a harmonic probing in the equivalent system to obtain the higher-order frequency response functions computed by Volterra series. The novelty of this paper lies on predicting analytically, through closed-form equations of the Volterra kernels, the output and the hysteresis loop from a non-smooth system. To illustrate the applicability of the proposed approach, a challenging benchmark with hysteretic damping, described by the Bouc-Wen model, is simulated through a numerical integration scheme. The hysteresis loops, as well as the outputs, are compared to the analytical approach proposed here. The results show that the Volterra model is able to predict the hysteretic outputs when the excitation amplitude is weak and the hysteresis draws a single loop in the restoring force x displacement plane. The higher-order FRFs are given as a function of the model parameters. This framework could turn into an alternative tool to perform nonlinear modal analysis on a hysteretic system. (C) 2018 Elsevier Ltd. All rights reserved. (AU)

• 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