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Archive of Applied Mechanics
Erschienen in: Archive of Applied Mechanics 12/2016

23.08.2016 | Original

Numerical modeling of wave propagation for damped elbow pipes using Fourier–Legendre spectral element method in polar coordinates

verfasst von: Yijie Liu, Qiang Han, Chunlei Li, Dongliang Xiao

Erschienen in: Archive of Applied Mechanics | Ausgabe 12/2016

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Abstract

Wave propagation in damped elbow pipes is investigated with the Fourier–Legendre spectral element method. The damped steady-state dispersion relationship is constructed by the frequency–wavenumber spectral decomposition of the governing wave equation, based on the strain–displacement relation of the ring coordinate. Then, the discretization formulation is obtained via the Legendre spectral element method where high-order spectral elements of polar coordinates are introduced to keep this finite element model consistent with the structures geometry. Finally, we give some dispersion curves of energy velocity and attenuation on damped elbow pipes with different curvatures in the ring wavenumber–frequency space.
Vorheriger Artikel On fractional peridynamic deformations
Nächster Artikel Electrically and magnetically induced Maxwell stresses in a magneto-electro-elastic medium with periodic limited permeable cracks

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Metadaten
Titel
Numerical modeling of wave propagation for damped elbow pipes using Fourier–Legendre spectral element method in polar coordinates
verfasst von
Yijie Liu
Qiang Han
Chunlei Li
Dongliang Xiao
Publikationsdatum
23.08.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 12/2016
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-016-1164-2

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