Wave generation and source energy distribution in cylindrical fluid-filled waveguide structures

Глушков, Е. В.; Glushkova, Natalia; Fomenko, Sergey I.

doi:10.1016/j.wavemoti.2017.01.001

Cited by 9 publications

(2 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This way of obtaining expansion (2) is more convenient for us because we have elaborated and computer implemented a series of fast and numerically stable algorithms of matrix K calculation for multilayered, functionally graded, anisotropic, porous, cylindrical, and other elastic wavequides (e.g., [7][8][9]). Thus, the described below hybrid scheme FEM-An can be implemented for all such waveguides.…”

Section: Mathematical Frameworkmentioning

confidence: 99%

Hybrid Numerical-Analytical Scheme for Locally Inhomogeneous Elastic Waveguides

Глушков¹,

Glushkova²,

Евдокимов³

2021

14th WCCM-ECCOMAS Congress

View full text Add to dashboard Cite

Numerical simulation of guided wave excitation, propagation, and diffraction in laminate structures with local inhomogeneities (obstacles) is associated with high computational cost due to the need for a mesh-based approximation of extended domains with a rigorous account for the radiation conditions at infinity. To obtain computationally efficient solutions, hybrid numerical-analytical approaches are currently being developed, based on linking a numerical solution in a local vicinity of the source and/or obstacles with an explicit analytical representation in the external semi-infinite domain. However, the developed methods are generally not widely spread because the possibility of such coupling with an external multimode wave field is generally not provided in standard finite-element (FE) software. We propose a scheme that allows the use of the FE software as a black box for the required correct matching of local numerical and global analytical solutions (FEM-An). The FEM is used to obtain a set of local numerical solutions that serve as a basis in the inner domain. These solutions satisfy the boundary conditions induced by guided wave modes so that they fit correctly with the modal expansion in the outer region. The expansion coefficients of both FE and modal decompositions are determined then from the condition of stress and displacement continuity at the interface between the inner and outer domains. This scheme was numerically validated against analytical solutions to test problems and FE solutions for long waveguide sections with perfect match layer absorbing conditions at the ends (FEM-PML). Along the way, it turned out that the FEM-PML approach gives an incorrect result in the backward-wave bands and at high frequencies. The application of the FEM-An hybrid scheme is illustrated by examples of Lamb wave diffraction by elastic inclusions and delaminations.

show abstract

Section: Mathematical Frameworkmentioning

confidence: 99%

Hybrid Numerical-Analytical Scheme for Locally Inhomogeneous Elastic Waveguides

Глушков¹,

Glushkova²,

Евдокимов³

2021

14th WCCM-ECCOMAS Congress

View full text Add to dashboard Cite

show abstract

“…al. (2004), Duan & Kirby (2015) and Glushkov et al (2017) this kind of analysis, in the case of defects in pipes, is carried out. In Ramatlo et.…”

Section: Bibliography Reviewmentioning

confidence: 99%

The dispersion curve applied in guided wave propagation in prismatic rods.

Groth

Iturrioz

Clarke

2018

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

The early detection of failures in structures is a subject of great interest in engineering; several of these techniques are linked with the elastic wave propagation, using guided waves is one of these alternatives. Several structures of interest in engineering are laminar arrangements; the wave propagation in this type of structures depends not only on the material properties, but also on the geometric parameters, such as the plate thickness. Tubular structures, pressure vessels, tanks and also parts of ships hulls could be considered laminar. The elastic wave propagation in laminar structures could be considered as a sum of modal shapes that have its wave length and frequencies defined. These mode families are characteristics of each structure and could be represented through the dispersion curves. The definition of these dispersion curves is of crucial importance to understand the propagation of guided waves in the structure studied. In the present work the dispersion curves were generated using three different methodologies, specific for metallic rectangular stems that compound the strengthening armor in flexible riser duct. Each approach presented in the analysis were carried out using standard finite element commercial packages and an experimental verification, as well. The premise is to present the topics in the simplest way, not only to understand how the dispersion curves are built but also how these curves must be interpreted.

show abstract

Environmentally friendly methodology for fouling removal in pipeline based on leaky guided wave generated by quasi-axisymmetric excitation mode

Liu

Fang

et al. 2019

Clean Techn Environ Policy

View full text Add to dashboard Cite

Wave generation and source energy distribution in cylindrical fluid-filled waveguide structures

Cited by 9 publications

References 42 publications

Hybrid Numerical-Analytical Scheme for Locally Inhomogeneous Elastic Waveguides

Hybrid Numerical-Analytical Scheme for Locally Inhomogeneous Elastic Waveguides

The dispersion curve applied in guided wave propagation in prismatic rods.

Environmentally friendly methodology for fouling removal in pipeline based on leaky guided wave generated by quasi-axisymmetric excitation mode

Contact Info

Product

Resources

About