### 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 language | English |
---|---|

Pages (from-to) | 1193-1208 |

Number of pages | 16 |

Journal | Wave Motion |

Volume | 51 |

Issue number | 7 |

DOIs | |

Publication status | Published - 2014 |

### Fingerprint

### 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 Motion*,

*51*(7), 1193-1208. https://doi.org/10.1016/j.wavemoti.2014.07.006

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

Research output: Contribution to journal › Article

*Wave Motion*, vol. 51, no. 7, pp. 1193-1208. https://doi.org/10.1016/j.wavemoti.2014.07.006

}

TY - JOUR

T1 - Wave propagation modeling of fluid-filled pipes using hybrid analytical/two-dimensional finite element method

AU - Han, Je Heon

AU - Kim, Yong Joe

AU - Karkoub, Mansour

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - Acoustic transfer function (ATF)

KW - Fluid-filled, composite pipes

KW - Fluid-structure interactions

KW - Hybrid Analytical/Finite Element Method (HAFEM)

KW - Structural wave propagation

UR - http://www.scopus.com/inward/record.url?scp=84906943053&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84906943053&partnerID=8YFLogxK

U2 - 10.1016/j.wavemoti.2014.07.006

DO - 10.1016/j.wavemoti.2014.07.006

M3 - Article

VL - 51

SP - 1193

EP - 1208

JO - Wave Motion

JF - Wave Motion

SN - 0165-2125

IS - 7

ER -