Title Bifurcation characteristic-based damage identification for plates undergoing large amplitude vibration /
Authors Li, D.Y ; Cao, M.S ; Ragulskis, M
ISBN 9783000603594
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Is Part of Proceedings of the 7th Asia-Pacific workshop on structural health monitoring, APWSHM 2018, November 12-15, 2018, Hong Kong SAR, P.R. China.. Bad Breisig : NDT.net, 2019. p. 1106-1111.. ISBN 9783000603594
Keywords [eng] bifurcation ; crack model ; damage identification ; large amplitude vibration ; nonlinear structural system
Abstract [eng] A nonlinear damage indicator based on bifurcation characteristics of cracked plates with large deflections is established in this paper. Firstly, von Kármán plate theory is applied to derive the governing equations of motions for large deflection plates. The derived model comprises quadratic and cubic terms describing the specific nonlinear dynamical behaviours within large deflection plates. Secondly, Galerkin's method is employed to discrete the PDE governing equations of large deflection plates and the simplified dimensionless equation is dealt with multiple scale perturbation method. After that, the classic hardening-type frequency responses can be observed clearly. Featured the hardeningtype frequency responses, the bifurcation characteristics are discussed in detail, and crack effect on it is argued. Then, the nonlinear damage indicator is established to identify the existence of cracks in flat plates with large deflections. Next, Runge-Kutta iteration algorithm is used to achieve numerical results of the simplified dimensionless equation for plates at various damage levels. Finally, the effectiveness of established damage indicator for identifying the existence of cracks has been validated using these dynamical responses. It is demonstrated that the established damage indicator can identify the existence of cracks successfully and has a promising application in structural health monitoring of plate type structures with large deflections.
Published Bad Breisig : NDT.net, 2019
Type Conference paper
Language English
Publication date 2019