### Abstract

This chapter discusses boundary-element (BE) methods for computing the radiated sound field of vibrating structures, including methods for coupling structural vibrations and acoustic fields together. It also discusses the formulation for coupled finite-element/BE computations. A thorough discussion of BE methods is then given, beginning from the Rayleigh integral and progressing to the Kirchhoff-Helmholtz integral equation, focusing primarily on user interaction with a BE program. A potential disadvantage of BE methods is the so-called nonuniqueness difficulty. The chapter explains the difficulty in mathematical terms. Impedance boundary conditions are commonly used to model porous sound insulation material in BE simulations. As solving the system of equations is time-consuming, especially when the number of acoustic degrees of freedom becomes large, various techniques, including interpolation in frequency, parallelization, remeshing and multipole expansions have been developed to reduce computation times and allow larger problems to be addressed.

Original language | English (US) |
---|---|

Title of host publication | Engineering Vibroacoustic Analysis |

Subtitle of host publication | Methods and Applications |

Publisher | wiley |

Pages | 179-229 |

Number of pages | 51 |

ISBN (Electronic) | 9781118693988 |

ISBN (Print) | 9781119953449 |

DOIs | |

State | Published - Jan 1 2014 |

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### All Science Journal Classification (ASJC) codes

- Engineering(all)

### Cite this

*Engineering Vibroacoustic Analysis: Methods and Applications*(pp. 179-229). wiley. https://doi.org/10.1002/9781118693988.ch7

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*Engineering Vibroacoustic Analysis: Methods and Applications.*wiley, pp. 179-229. https://doi.org/10.1002/9781118693988.ch7

**Boundary-Element Analysis.** / Fahnline, John Brian.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

TY - CHAP

T1 - Boundary-Element Analysis

AU - Fahnline, John Brian

PY - 2014/1/1

Y1 - 2014/1/1

N2 - This chapter discusses boundary-element (BE) methods for computing the radiated sound field of vibrating structures, including methods for coupling structural vibrations and acoustic fields together. It also discusses the formulation for coupled finite-element/BE computations. A thorough discussion of BE methods is then given, beginning from the Rayleigh integral and progressing to the Kirchhoff-Helmholtz integral equation, focusing primarily on user interaction with a BE program. A potential disadvantage of BE methods is the so-called nonuniqueness difficulty. The chapter explains the difficulty in mathematical terms. Impedance boundary conditions are commonly used to model porous sound insulation material in BE simulations. As solving the system of equations is time-consuming, especially when the number of acoustic degrees of freedom becomes large, various techniques, including interpolation in frequency, parallelization, remeshing and multipole expansions have been developed to reduce computation times and allow larger problems to be addressed.

AB - This chapter discusses boundary-element (BE) methods for computing the radiated sound field of vibrating structures, including methods for coupling structural vibrations and acoustic fields together. It also discusses the formulation for coupled finite-element/BE computations. A thorough discussion of BE methods is then given, beginning from the Rayleigh integral and progressing to the Kirchhoff-Helmholtz integral equation, focusing primarily on user interaction with a BE program. A potential disadvantage of BE methods is the so-called nonuniqueness difficulty. The chapter explains the difficulty in mathematical terms. Impedance boundary conditions are commonly used to model porous sound insulation material in BE simulations. As solving the system of equations is time-consuming, especially when the number of acoustic degrees of freedom becomes large, various techniques, including interpolation in frequency, parallelization, remeshing and multipole expansions have been developed to reduce computation times and allow larger problems to be addressed.

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U2 - 10.1002/9781118693988.ch7

DO - 10.1002/9781118693988.ch7

M3 - Chapter

SN - 9781119953449

SP - 179

EP - 229

BT - Engineering Vibroacoustic Analysis

PB - wiley

ER -