Abstract
This paper is concerned with the use of numerically obtained modal curvatures for damage detection in both isotropic and composite laminated plates. Numerical simulations are carried out by using COMSOL Multiphysics as FEM solver of the governing equations, in which a Mindlin-Reissner plate model is assumed and defects are introduced as localized smoothed variations of the baseline (healthy) configuration. Experiments are also performed on steel and aluminum plates using scanning laser vibrometry. This study confirms that the central difference method greatly amplifies the measurement errors and its application leads to ineffective predictions for damage detection, even after denoising. As a consequence, different numerical techniques should be explored to allow the use of numerically obtained modal curvatures for structural health monitoring. Herein, the Savitzky-Golay filter (or least-square smoothing filter) is considered for the numerical differentiation of noisy data. Our results show that this filter is effective in identifying the damaged regions of plate structures.
Highlights
The present contribution is part of a larger effort aimed at assessing the effectiveness of damage detection by modal curvatures as well as at improving their reliability for practical structural health monitoring (SHM) applications
Numerical simulations are carried out by using COMSOL Multiphysics as FEM solver of the governing equations, in which a Mindlin-Reissner plate model is assumed and defects are introduced as localized smoothed variations of the baseline configuration
This study confirms that the central difference method greatly amplifies the measurement errors and its application leads to ineffective predictions for damage detection, even after denoising
Summary
The present contribution is part of a larger effort aimed at assessing the effectiveness of damage detection by modal curvatures as well as at improving their reliability for practical SHM applications. This paper is concerned with the use of modal curvatures for damage detection in plate structures. Within this framework, damage detection of composite laminated plates based on modal curvatures has been discussed in [7]. Longitudinal modal curvatures were calculated using the central difference method, and dynamic measurements were performed by using a scanning laser vibrometer (SLV). An extensive numerical study is conducted for isotropic and composite laminated plates. The central difference method is largely preferred to calculate the modal curvatures, our study confirms that it greatly amplifies the measurement errors. Numerical and experimental investigations demonstrate that the Savitzky-Golay filter yields reliable predictions for practical SHM applications
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