Abstract
Modern methods of detection and identification of structural damage direct the activities of scientific groups towards the improvement of diagnostic methods using for example the phenomenon of mechanical wave propagation. Damage detection methods that use mechanical wave propagation in structural components are extremely effective. Many different numerical approaches are used to model this phenomenon, but, due to their universal nature, spectral methods are the most commonly used, of which there are several types. This paper reviews recent research efforts in the field to show basic differences and effectiveness of the two most common spectral methods used for modelling the wave propagation problem in terms of damage detection.
Highlights
Damage detection is the key aspect of Structural Health Monitoring (SHM), being defined as the acquisition, validation and analysis of technical data to facilitate life-cycle cost management decisions [1].Numerous SHM techniques have become the subject of extensive scientific investigations [2,3]
As the process of modelling structural elements with Frequency Domain Spectral Finite Element Method (FDSFEM) includes the analysis in a frequency domain, this method may by utilised for free vibration analysis of for example stepped thickness rectangular plates, which has been performed by [125]
The authors have compared the accuracy of grid dispersion criteria and numerical examples based on methods like: the classical finite-difference method (FDM) based on the second-order displacement formulation of the elastic wave equation (DFDM), the staggered-grid finite difference method (SGFDM), the velocity-stress FDM with a standard grid (VSFDM) and the time domain spectral finite element method (TDSFEM)
Summary
Damage detection is the key aspect of Structural Health Monitoring (SHM), being defined as the acquisition, validation and analysis of technical data to facilitate life-cycle cost management decisions [1]. The first one has been popularised by Doyle and is named Frequency Domain Spectral Element Method (FDSEM) [79] This method is a semi-analytical technique commonly used for modelling of guided waves propagating in 1D and 2D structural elements [26]. Domain Spectral Finite Element Method (TDSFEM) and it has been found to be extremely efficient in simulating guided wave propagation in computational solid and fluid mechanics. This scheme adjusts the disadvantage of FE in terms of large computational time resulting from dense spatial and temporal discretization. It was a strong intention to try to mention any important contribution to the field of wave propagation modelling by the use of two most often used spectral element methods (Table 2, the abbreviations used have been listed at the end of the paper)
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