On the Relation Between Complex Modes and Wave Propagation Phenomena

Ahmida, Khaled M.; Arruda, José Roberto de França

doi:10.1006/jsvi.2001.4183

Cited by 16 publications

(7 citation statements)

References 5 publications

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“…For this reason very dense FE meshes, resulting from very small wavelengths participating in vibrational movements, should be applied because the size of FEs should be comparable to the wavelength of the shortest signal component. This procedure significantly increases the computational size of analysed problems, and directs researchers to other, more efficient numerical methods [51][52][53]. At this point, we would like to strongly emphasise that in the current paper we do not discuss the numerical consequences of taking into account such physical phenomena as wave dispersion and/or attenuation, as we instead concentrate on numerical properties of particular computational approaches.…”

Section: Technical Backgroundmentioning

confidence: 99%

FEM-Based Wave Propagation Modelling for SHM: Certain Numerical Issues in 1D Structures

Palacz

Krawczuk

2020

Materials

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The numerical modelling of structural elements is an important aspect of modern diagnostic systems. However, the process of numerical implementation requires advanced levels of consideration of multiple aspects. Important issues of that process are the positive and negative aspects of the methods applied. Therefore the aim of this article is to familiarise the reader with the most important aspects related to the process of numerical modelling of one-dimensional problems related to the phenomena of the propagation of elastic waves and their application for damage detection purposes.

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Section: Technical Backgroundmentioning

confidence: 99%

FEM-Based Wave Propagation Modelling for SHM: Certain Numerical Issues in 1D Structures

Palacz

Krawczuk

2020

Materials

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“…The concept of complex modes of dynamic structures has been analysed here [120]. It shows how complex modes can be interpreted in terms of wave propagation phenomena caused by either localized damping or propagation to the surrounding media.…”

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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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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“…This representation produces a line for points oscillating in phase, a circle for wave propagation phenomena and an ellipse for complex modes. This characteristic may be used to define a mode complexity factor , as introduced by Ahmida and Arruda (2002) as the ratio between the minor and the major radii of the ellipse. It should be noted that the elliptical shape is rigorously observed only when not dealing with the ringing terms.…”

Section: Natural Modes Of Vibration: the Relationship Between Modal Complexity And Wave Propagation Phenomenamentioning

confidence: 99%

“…Other forms of localised energy dissipation also exist, particularly at the boundary supports (Kang and Kim, 19961 Oliveto et al, 19971 Fan et al, 1998). The relationship between modal complexity and 1110 A. PAU and F. VESTRONI wave propagation phenomena was analysed in detail by Ahmida and Arruda (2002), where a modal complexity factor was introduced. To describe these phenomena, the spectral element method (SEM) is employed, since it enables us to use semi-infinite elements, usually known as throw-off elements, to represent the propagation of the wave towards infinity (Doyle and Farris, 19901 Bettes, 19921 Doyle, 1997).…”

Section: Introductionmentioning

confidence: 99%

Modal Analysis of a Beam with Radiation Damping: Numerical and Experimental Results

Pau

Vestroni

2007

Journal of Vibration and Control

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In large structures, the excitation energy produced by an impact force may not be sufficient to spread throughout the structure and excite global modes. Thus, one may be interested in the dynamic characterization of the excited part of the structure by taking into consideration the wave propagation through its boundaries. This radiation damping is a source of local damping and, as a consequence, causes modal complexity. The spectral element method is adopted here to describe the modal characteristics of a system with radiation damping. A semi-infinite Euler-Bernoulli beam, whose span is interrupted by a spring with translational and rotational stiffness, is used as an example to illustrate the main features of the phenomenon characterized by modal complexity and to obtain a simple but meaningful experimental confirmation. This method could be useful in the modal characterization of a part of a structure.

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On the Relation Between Complex Modes and Wave Propagation Phenomena

Cited by 16 publications

References 5 publications

FEM-Based Wave Propagation Modelling for SHM: Certain Numerical Issues in 1D Structures

FEM-Based Wave Propagation Modelling for SHM: Certain Numerical Issues in 1D Structures

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

Modal Analysis of a Beam with Radiation Damping: Numerical and Experimental Results

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