Wave transmission through two-dimensional structures by the hybrid FE/WFE approach

Mitrou, Giannoula; Ferguson, N.S.; Renno, Jamil M.

doi:10.1016/j.jsv.2016.09.032

Cited by 34 publications

(26 citation statements)

References 25 publications

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“…Therefore, it is important to choose a method that is suitable and efficient. As presented in Table 1, there are various numerical methods of modelling of structures successfully used in [64][65][66][67][68][69][70][71][72][73][74][75][76][77][78]; however, for the problems of wave propagation modelling, the most popular are spectral methods. Two basic approaches may be distinguished.…”

Section: Methods Examplementioning

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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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: Methods Examplementioning

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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“…The left and right wave modes are orthogonal and can be further normalised such as ± ± = [14]. The introduction of the left eigenvectors does not affect the physical results, but their use is highly recommended when the inversion of matrices of wave modes is required, and when the size of the wave modes matrix is not square, such as when a reduced wave basis is used [14,15,17]. Typically, at low frequencies, wave modes in the two…”

Section: (1ab)mentioning

confidence: 99%

“…The method has also been successfully used in the past with applications to wave scattering problems, e.g. [14][15][16][17], as it facilitates the tracking of individual waves as they impinge on a discontinuity. One possible application of WFE is the evaluation of the influence of discontinuities on waveguides.…”

Section: Introductionmentioning

confidence: 99%

Wave scattering from discontinuities related to corrosion-like damage in one-dimensional waveguides

Takiuti

Manconi

Brennan

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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Guided waves at high frequency are used in structural health monitoring systems to detect damage. The successful application of the technique, however, requires a deep understanding of wave mode propagation and scattering, as this allows the correct choice of frequency range and wave types to be used to interrogate the structure. Often, this is not the case and systems are developed in an ad hoc way. There is, thus, a greater need to understand the way in which guided waves interact with, and are scattered by, damage. This paper aims to contribute to knowledge in this area. A wave finite element method is applied in a study of wave scattering from symmetric and asymmetric changes of cross-sectional area over a finite length in a waveguide, which are intended to be crude models of corrosion damage. To facilitate analysis of the results, Lamb wave scattering is first investigated in such a system for a point discontinuity involving a change in cross-sectional area. The wave scattering characteristics are evaluated by using the time-averaged kinetic energy of the reflected and transmitted wave fields considering components in the vertical and horizontal directions. This, together with the traditionally used displacement and energy flow coefficients, allows an investigation into the rich wave scattering behaviour due to multi-mode behaviour and wave mode conversion which can complicate the interpretation of the results. In particular, it is shown that care needs to be taken in the interpretation of a sudden increase in the amplitude of a reflected wave from damage. At certain frequencies, this can be due to evanescent waves starting to propagate, rather than an increase in the severity of the damage.

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“…15 Mitrou et al researched wave transmission in two-dimensional structures using a mixed finite element and wave and finite element methods. 16 Beam reinforced structures have been analysed for many years. A typical example is shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

A Comprehensive Analytical Dynamic Model of a T-Beam

Hull¹,

Pérez²,

Cox³

2019

March

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This paper derives a comprehensive analytical dynamic model of a T-shaped beam that includes in-plane and outof-plane vibrations for mid-frequency range analysis, defined here as approximately 1 kHz to 10 kHz. The web, right part of the flange, and left part of the flange of the T-beam are modelled independently with two-dimensional elasticity equations for the in-plane motion and the classical flexural plate equation for the out-of-plane motion. The differential equations are solved with unknown wave propagation coefficients multiplied by circular spatial domain functions, which are inserted into equilibrium and continuity equations at the intersection of the web and flange and into boundary conditions at the edges of the system resulting in 24 algebraic equations. These equations are solved to yield the wave propagation coefficients and this produces a solution to the displacement field in all three dimensions. An example problem is formulated and compared to solutions from Bickford beam theory and finite element analysis. Higher order branch waves are discussed and a simplified symmetric model is presented.

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Wave transmission through two-dimensional structures by the hybrid FE/WFE approach

Cited by 34 publications

References 25 publications

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

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

Wave scattering from discontinuities related to corrosion-like damage in one-dimensional waveguides

A Comprehensive Analytical Dynamic Model of a T-Beam

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