Large amplitude vibrations and damage detection of rectangular plates

Emil Manoach, I. Trendafilova

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)
59 Downloads (Pure)


In this work, geometrically nonlinear vibrations of fully clamped rectangular plates are used to study the sensitivity of some nonlinear vibration response parameters to the presence of damage. The geometrically nonlinear version of the Mindlin plate theory is used to model the plate behaviour. Damage is represented as a stiffness reduction in a small area of the plate. The plate is subjected to harmonic loading with a frequency of excitation close to the first natural frequency leading to large amplitude vibrations. The plate vibration response is obtained by a pseudo-load mode superposition method. The main results are focussed on establishing the influence of damage on the vibration response of the plate and the change in the time-history diagrams and the Poincaré maps caused by the damage. Finally, a criterion and a damage index for detecting the presence and the location of the damage is proposed. The criterion is based on analyzing the points in the Poincaré sections of the damaged and healthy plate. Numerical results for large amplitude vibrations of damaged and healthy rectangular and square plates are presented and the proposed damage index for the considered cases is calculated. The criterion demonstrates quite good abilities to detect and localise damage.
Original languageEnglish
Pages (from-to)591-606
Number of pages16
JournalJournal of Sound and Vibration
Issue number3
Publication statusPublished - 19 Aug 2008


  • plates
  • damage detection
  • large amplitude vibrations
  • Poincaré maps
  • vibration
  • materials science

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