Analysis of longitudinal wave propagation in a cracked rod by the spectral element method

Palacz, Magdalena; Krawczuk, Marek

doi:10.1016/s0045-7949(02)00219-5

Cited by 85 publications

(52 citation statements)

References 4 publications

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“…In the group of articles devoted to the application of different rod theories, one should distinguish the works [101][102][103]108], where different models derived with FDSFEM suitable for modelling of wave propagation in elements with various damages have been proposed. As damage, the authors have proposed a transverse, open and not propagating crack and an additional mass.…”

Section: Wave Propagation In 1d Elementsmentioning

confidence: 99%

“…However, there is also an alternative approach available, while the spectral element matrix has been derived from the transfer matrix formulated directly from the frequency-domain state-vector equation of motion [107]. This specific approach has been analysed for propagation phenomena in elements made out of different materials by [108][109][110][111][112][113]. The authors have analysed the influence of different types of damages on elastic wave propagation in isotropic (aluminium, steel) and anisotropic (glass-epoxy composite) materials.…”

Section: Wave Propagation In 1d Elementsmentioning

confidence: 99%

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Spectral Methods for Modelling of Wave Propagation in Structures in Terms of Damage Detection—A Review

Palacz

2018

Applied Sciences

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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.

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Section: Wave Propagation In 1d Elementsmentioning

confidence: 99%

Section: Wave Propagation In 1d Elementsmentioning

confidence: 99%

Spectral Methods for Modelling of Wave Propagation in Structures in Terms of Damage Detection—A Review

Palacz

2018

Applied Sciences

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“…In this method the structures without any discontinuities can be modeled with just one element, and it is also possible to find displacements in any point of element without any extra nodes, so these advantageous have made this method unique in comparison to other numerical methods. Palacz and Krawczuk (2002) represented wave propagation analysis for damage detection by Fourier Spectral Element Method (FSEM), where damage was modeled as non-propagating crack in rod and substituted by a dimensionless spring using Castigliano's theorem. Then Krawczuk et al (2006) determined the differences obtained by all the three other modified theories of rods plus to elementary one, and two different excited signals with high and low frequency contents have been used for finding damages in which they were similar to that of the aforementioned cracks.…”

Section: Introductionmentioning

confidence: 99%

Wave propagation in cracked frame structures by the spectral element method

Izadifard

Ranjbar

Mohebi

2014

Int J Adv Struct Eng

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This paper deals with the detection of crack in frame structures based on Euler-Bernoulli beams theorem by the Spectral Element Method. The effect of cracking is modeled using Castigliano's theorem and laws of fracture mechanics as mass-less rotational and translational springs which are embedded in different locations of the steel frame structure in both beam and column. The crack location is revealed precisely without prior knowledge of their positions in frame structure. This means that there is no necessity to know the location and the node number which is assigned to crack. Finally the effect of crack when it is embedded simultaneously in both beam and column members, is also studied.

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“…The calculated frequency domain responses are then transformed back to the time domain using the inverse Fourier transformation (IFFT). It proves that this technique is well suited for simple one-dimensional problems [27][28][29][30], but is inefficient when the geometry becomes complex or when two or three-dimensional problems must be analysed.…”

Section: Introductionmentioning

confidence: 99%