Wave propagation modeling of fluid-filled pipes using hybrid analytical/two-dimensional finite element method

Je Heon Han, Yong Joe Kim, Mansour Karkoub

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

In this paper, a Hybrid Analytical/Two-Dimensional Finite Element Method (2-D HAFEM) is proposed to analyze wave propagation characteristics of fluid-filled, composite pipes. In the proposed method, a fluid-filled pipe with a constant cross-section is modeled by using a 2-D finite element approximation in the cross-sectional area while an analytical wave solution is assumed in the axial direction. Thus, it makes possible to use a small number of finite elements even for high frequency analyses in a computationally efficient manner. Both solid and fluid elements as well as solid-fluid interface boundary conditions are developed to model the cross-section of the fluid-filled pipe. In addition, an acoustical transfer function (ATF) approach based on the 2-D HAFEM formulation is suggested to analyze a pipe system assembled with multiple pipe sections with different cross-sections. An ATF matrix relating two sets of acoustic wave variables at the ends of each individual pipe section with a constant cross-section is first calculated and the total ATF matrix for the multi-sectional pipe system is then obtained by multiplying all individual ATF matrices. Therefore, the HAFEM-based ATF approach requires significantly low computational resources, in particular, when there are many pipe sections with a same cross-sectional shape since a single 2-D HAFEM model is needed for these pipe sections. For the validation of the proposed method, experimental and full 3-D FE modeling results are compared to the results obtained by using the HAFEM-based ATF procedure.

Original languageEnglish
Pages (from-to)1193-1208
Number of pages16
JournalWave Motion
Volume51
Issue number7
DOIs
Publication statusPublished - 2014

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wave propagation
finite element method
transfer functions
fluids
cross sections
matrices
resources
boundary conditions
formulations
composite materials
acoustics
approximation

Keywords

  • Acoustic transfer function (ATF)
  • Fluid-filled, composite pipes
  • Fluid-structure interactions
  • Hybrid Analytical/Finite Element Method (HAFEM)
  • Structural wave propagation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Wave propagation modeling of fluid-filled pipes using hybrid analytical/two-dimensional finite element method. / Han, Je Heon; Kim, Yong Joe; Karkoub, Mansour.

In: Wave Motion, Vol. 51, No. 7, 2014, p. 1193-1208.

Research output: Contribution to journalArticle

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