Nonlinear System Identication through Backbone curves and Bayesian Interference

Andrea Cammarano, P L Green, Tom L Hill, Simon A Neild

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

1 Citation (Scopus)
195 Downloads (Pure)

Abstract

Nonlinear structures exhibit complex behaviors that can be predicted and analyzed once a mathematical model of the structure is available. Obtaining such a model is a challenge. Several works in the literature suggest different methods for the identification of nonlinear structures. Some of the methods only address the question of whether the system is linear or not, others are more suitable for localizing the source of nonlinearity in the structure, only a few suggest some quantification of the nonlinear terms. Despite the effort made in this field, there are several limits in the identification methods suggested so far, especially when the identification of a multi-degree of freedom (MDOF) nonlinear structure is required. This work presents a novel method for the identification of nonlinear structures. The method is based on estimating backbone curves and the relation between backbone curves and the response of the system in the frequency domain. Using a Bayesian framework alongside Markov chain Monte Carlo (MCMC) methods, nonlinear model parameters were inferred from the backbone curves of the response and the Second Order Nonlinear Normal Forms which gives a relationship between the model and the backbone curve. The potential advantage of this method is that it is both efficient from a computation and from an experimental point of view.
Original languageEnglish
Title of host publicationNonlinear Dynamics
Subtitle of host publicationProceedings of the 33rd IMAC, A Conference and Exposition on Structural Dynamics, 2015
EditorsGaëtan Kerschen
PublisherSpringer
Pages255-262
Number of pages8
Volume1
ISBN (Electronic)9783319152219
ISBN (Print)9783319152202
DOIs
Publication statusPublished - 2016
Event33rd IMAC Conference and Exposition on Structural Dynamics, 2015 - Orlando, FL, United States
Duration: 2 Feb 20155 Feb 2015

Publication series

NameConference Proceedings of the Society for Experimental Mechanics Series
PublisherSpringer
ISSN (Print)2191-5644

Conference

Conference33rd IMAC Conference and Exposition on Structural Dynamics, 2015
CountryUnited States
CityOrlando, FL
Period2/02/155/02/15

Keywords

  • identification
  • nonlinear vibrations
  • MCMC
  • nonlinear normal forms

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