Abstract
In this paper, an on-going research effort aimed at detecting and localising damage in plate-like structures by using mode shape curvature–based damage detection algorithms is described. Two alternative damage indexes are examined. The first one uses exclusively mode shape curvature data from the damaged structure. This method was originally developed for beam-like structures. In this paper, the method is generalised to plate-like structures that are characterised by two-dimensional mode shape curvature. To examine limitations of the method, several sets of simulated data are applied and damage detection results are compared to the damage identification method that requires mode shape information from both the undamaged and the damaged states of the structure. The modal frequencies and the corresponding mode shapes for the first 15 modes of a plate are obtained via finite element models. Simulated test cases include damage of various levels of severity. In order to ascertain the sensitivity of the proposed method to noisy experimental data, numerical mode shapes are corrupted with different levels of random noise.
Highlights
Modern civil, transport and aerospace engineering structures are becoming more complex and multifunctional and are expected to be fully functional under severe environmental conditions
Previous investigations conducted by the authors of this paper show that exclusively employing mode shape curvature data from the damaged structure could assess damage location and size
To analyse the influence of the measurement noise and damage severity on the effectiveness of the proposed damage detection algorithms, a damage index ratio R representing the relationship between the standardised damage index
Summary
Transport and aerospace engineering structures are becoming more complex and multifunctional and are expected to be fully functional under severe environmental conditions. Significant efforts have been undertaken in the area of vibration-based damage detection methods These methods are based on the fact that dynamic characteristics, i.e. natural frequencies, mode shapes and modal damping, are directly related to the stiffness of the structure. Many studies (Ho, Ewins 2000; Stubbs, Kim 1996; Yuen 1985; Pandey et al 1991; Wahab, Roeck 1999; Maia et al 2003) have shown that mode shapes and corresponding mode shape curvatures are highly sensitive to damage and can be used for detecting and quantifying damage In these papers, the absolute difference in mode shape data between the undamaged and the damaged state of a structure is defined as damage index, and the maximum value indicates the location and size of damage. To examine the limitations of the method, several sets of simulated data are applied, and damage detection results are compared to the damage identification method that requires mode shape information from both the undamaged and the damaged states of the structure
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