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On the use of NURBS-based discretizations in the scaled boundary finite element method for wave propagation problems

  • We discuss the application of non-uniform rational B-splines (NURBS) in the scaled boundary finite element method (SBFEM) for the solution of wave propagation problems at rather high frequencies. We focus on the propagation of guided waves along prismatic structures of constant cross-section. Comparisons are made between NURBS-based discretizations and high-order spectral elements in terms of the achievable convergence rates. We find that for the same order of shape functions, NURBS can lead to significantly smaller errors compared with Lagrange polynomials. The difference becomes particularly important at very high frequencies, where spectral elements are prone to instabilities. Furthermore, we analyze the behavior of NURBS for the discretization of curved boundaries, where the benefit of exact geometry representation becomes crucial even in the low-frequency range.

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Metadaten
Author: Hauke Gravenkamp, Sundarajan Natarajan, Wolfgang DornischORCiD
DOI:https://doi.org/10.1016/j.cma.2016.11.030
ISSN:0045-7825
Title of the source (English):Computer Methods in Applied Mechanics and Engineering
Document Type:Scientific journal article peer-reviewed
Language:English
Year of publication:2017
Tag:Isogeometric analysis; NURBS; Spectral elements; Wave propagation; caled boundary finite element method
Volume/Year:315
First Page:867
Last Page:880
Faculty/Chair:Fakultät 6 Architektur, Bauingenieurwesen und Stadtplanung / FG Statik und Dynamik
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