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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.)

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

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Author(s):
Teloli, Rafael de O. [1] ; da Silva, Samuel [1]
Total Authors: 2
Affiliation:
[1] UNESP Univ Estadual Paulista, Fac Engn Ilha Solteira, Dept Engn Mecan, Ave Brasil 56, BR-15385000 Ilha Solteira, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: MECHANICAL SYSTEMS AND SIGNAL PROCESSING; v. 121, p. 856-875, APR 15 2019.
Web of Science Citations: 0
Abstract

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)

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)