Fuzzy Finite Element Model Updating Using Metaheuristic Optimization Algorithms

I. Boulkaibet, T. Marwala, M. I. Friswell, H. H. Khodaparast, S. Adhikari

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

8 Citations (Scopus)

Abstract

In this paper, a non-probabilistic method based on fuzzy logic is used to update finite element models (FEMs). Model updating techniques use the measured data to improve the accuracy of numerical models of structures. However, the measured data are contaminated with experimental noise and the models are inaccurate due to randomness in the parameters. This kind of aleatory uncertainty is irreducible, and may decrease the accuracy of the finite element model updating process. However, uncertainty quantification methods can be used to identify the uncertainty in the updating parameters. In this paper, the uncertainties associated with the modal parameters are defined as fuzzy membership functions, while the model updating procedure is defined as an optimization problem at each ’-cut level. To determine the membership functions of the updated parameters, an objective function is defined and minimized using two metaheuristic optimization algorithms: ant colony optimization (ACO) and particle swarm optimization (PSO). A structural example is used to investigate the accuracy of the fuzzy model updating strategy using the PSO and ACO algorithms. Furthermore, the results obtained by the fuzzy finite element model updating are compared with the Bayesian model updating results.

Original languageEnglish
Title of host publicationSpecial Topics in Structural Dynamics - Proceedings of the 35th IMAC, A Conference and Exposition on Structural Dynamics 2017
EditorsNikolaos Dervilis
PublisherSpringer
Pages91-101
Number of pages11
ISBN (Print)9783319538402
DOIs
Publication statusPublished - 2017
Event35th IMAC, A Conference and Exposition on Structural Dynamics, 2017 - [state] CA, United States
Duration: 30 Jan 20172 Feb 2017

Publication series

NameConference Proceedings of the Society for Experimental Mechanics Series
ISSN (Print)2191-5644
ISSN (Electronic)2191-5652

Conference

Conference35th IMAC, A Conference and Exposition on Structural Dynamics, 2017
Country/TerritoryUnited States
City[state] CA
Period30/01/172/02/17

Keywords

  • Ant colony optimization
  • Bayesian
  • Finite Element Model updating
  • Fuzzy logic
  • Fuzzy membership function
  • Particle swarm optimization

ASJC Scopus subject areas

  • General Engineering
  • Computational Mechanics
  • Mechanical Engineering

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