Damage detection in nonlinear systems using multiple system augmentations and matrix updating

Kiran D'Souza; Bogdan I. Epureanu

doi:10.1117/12.658085

11 April 2006 Damage detection in nonlinear systems using multiple system augmentations and matrix updating

Kiran D'Souza, Bogdan I. Epureanu

Proceedings Volume 6174, Smart Structures and Materials 2006: Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems; 61742Y (2006) https://doi.org/10.1117/12.658085
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2006, San Diego, California, United States

Abstract

Recently, a damage detection method for nonlinear systems using model updating has been developed by the authors. The method uses an augmented linear model of the system, which is determined from the functional form of the nonlinearities and a nonlinear discrete model of the system. The modal properties of the augmented system after the onset of damage are extracted from the system using a modal analysis technique that uses known but not prescribed forcing. Minimum Rank Perturbation Theory was generalized so that damage location and extent could be determined using the augmented modal properties. The method was demonstrated previously for cubic springs and Coulomb friction nonlinearities. In this work, the methodology is extended to handle large systems where only the first few of the augmented eigenvectors are known. The methodology capitalizes on the ability to create multiple augmentations for a single nonlinear system. Cubic spring nonlinearities are explored within a nonlinear 3-bay truss structure for various damage scenarios simulated numerically.

Citation Download Citation

Kiran D'Souza and Bogdan I. Epureanu "Damage detection in nonlinear systems using multiple system augmentations and matrix updating", Proc. SPIE 6174, Smart Structures and Materials 2006: Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems, 61742Y (11 April 2006); https://doi.org/10.1117/12.658085

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