A real-time approach for damage identification using hyperchaotic probe and stochastic estimation

Shahab Torkamani, Eric Butcher, Michael D. Todd

Research output: Contribution to journalArticle

Abstract

A real-time damage identification approach using an extended Kalman–Bucy filter is proposed for identification and real-time monitoring of damage-induced changes which is applicable both as a vibration-based technique and as a guided-wave technique for structural health monitoring. The proposed approach makes use of the intrinsic hypersensitivity of hyperchaotic systems to subtle changes in system parameters by applying the augmented state method along with an optimal filtering problem to provide simultaneous estimation of the states and parameters of a (possibly) nonlinear structural system driven by a tuned hyperchaotic excitation in order to monitor damage-induced changes. The proposed approach can also be employed for guided-wave structural health monitoring by discretizing the governing partial differential equation to obtain a process model in the context of optimal filtering problem, and thus to estimate the transmitted hyperchaotic wave and model parameters. Numerical simulation shows that the proposed approach is capable of real-time identification of reduction in elastic modulus of an isotropic beam.

Original languageEnglish (US)
Pages (from-to)537-550
Number of pages14
JournalMeccanica
Volume51
Issue number3
DOIs
StatePublished - Mar 1 2016

Fingerprint

Guided electromagnetic wave propagation
Structural health monitoring
structural health monitoring
damage
probes
Partial differential equations
Elastic moduli
partial differential equations
Monitoring
modulus of elasticity
Computer simulation
filters
vibration
estimates
excitation
simulation

Keywords

  • Hyperchaos
  • Kalman–Bucy filter
  • Real-time damage identification
  • Stochastic estimation
  • Wave propagation

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

Cite this

A real-time approach for damage identification using hyperchaotic probe and stochastic estimation. / Torkamani, Shahab; Butcher, Eric; Todd, Michael D.

In: Meccanica, Vol. 51, No. 3, 01.03.2016, p. 537-550.

Research output: Contribution to journalArticle

Torkamani, Shahab ; Butcher, Eric ; Todd, Michael D. / A real-time approach for damage identification using hyperchaotic probe and stochastic estimation. In: Meccanica. 2016 ; Vol. 51, No. 3. pp. 537-550.
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