### Abstract

The propagation of diffuse energy on an unwetted flat plate with attached heterogeneities is examined using a statistical, multiple scattering approach. The statistically homogeneous heterogeneities lightly couple the membrane and flexural waves. The problem is formulated in terms of the Bethe- Salpeter equation, which governs the field covariance. It is reduced to a radiative transfer equation in the limit that the attenuations per wave number are small, i.e., when the heterogeneities are weak. This radiative transfer equation governs the diffuse energy propagation as a function of space, time, and propagation direction. Solutions of the radiative transfer equation are presented for the simple case of attached heterogeneities in the form of delta-correlated springs excited by an extensional point source. The results show the evolution of the extensional, shear, and flexural energy densities across the plate as a function of time. A similar approach is expected to apply to the more complicated case of submerged complex structures.

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

Pages (from-to) | 3686-3695 |

Number of pages | 10 |

Journal | Journal of the Acoustical Society of America |

Volume | 100 |

Issue number | 6 |

DOIs | |

State | Published - Dec 1996 |

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### ASJC Scopus subject areas

- Arts and Humanities (miscellaneous)
- Acoustics and Ultrasonics

### Cite this

*Journal of the Acoustical Society of America*,

*100*(6), 3686-3695. https://doi.org/10.1121/1.417231

**Diffuse energy propagation on heterogeneous plates : Structural acoustics radiative transfer theory.** / Turner, Joseph A.; Weaver, Richard L.

Research output: Contribution to journal › Article

*Journal of the Acoustical Society of America*, vol. 100, no. 6, pp. 3686-3695. https://doi.org/10.1121/1.417231

}

TY - JOUR

T1 - Diffuse energy propagation on heterogeneous plates

T2 - Structural acoustics radiative transfer theory

AU - Turner, Joseph A.

AU - Weaver, Richard L.

PY - 1996/12

Y1 - 1996/12

N2 - The propagation of diffuse energy on an unwetted flat plate with attached heterogeneities is examined using a statistical, multiple scattering approach. The statistically homogeneous heterogeneities lightly couple the membrane and flexural waves. The problem is formulated in terms of the Bethe- Salpeter equation, which governs the field covariance. It is reduced to a radiative transfer equation in the limit that the attenuations per wave number are small, i.e., when the heterogeneities are weak. This radiative transfer equation governs the diffuse energy propagation as a function of space, time, and propagation direction. Solutions of the radiative transfer equation are presented for the simple case of attached heterogeneities in the form of delta-correlated springs excited by an extensional point source. The results show the evolution of the extensional, shear, and flexural energy densities across the plate as a function of time. A similar approach is expected to apply to the more complicated case of submerged complex structures.

AB - The propagation of diffuse energy on an unwetted flat plate with attached heterogeneities is examined using a statistical, multiple scattering approach. The statistically homogeneous heterogeneities lightly couple the membrane and flexural waves. The problem is formulated in terms of the Bethe- Salpeter equation, which governs the field covariance. It is reduced to a radiative transfer equation in the limit that the attenuations per wave number are small, i.e., when the heterogeneities are weak. This radiative transfer equation governs the diffuse energy propagation as a function of space, time, and propagation direction. Solutions of the radiative transfer equation are presented for the simple case of attached heterogeneities in the form of delta-correlated springs excited by an extensional point source. The results show the evolution of the extensional, shear, and flexural energy densities across the plate as a function of time. A similar approach is expected to apply to the more complicated case of submerged complex structures.

UR - http://www.scopus.com/inward/record.url?scp=0029775667&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029775667&partnerID=8YFLogxK

U2 - 10.1121/1.417231

DO - 10.1121/1.417231

M3 - Article

AN - SCOPUS:0029775667

VL - 100

SP - 3686

EP - 3695

JO - Journal of the Acoustical Society of America

JF - Journal of the Acoustical Society of America

SN - 0001-4966

IS - 6

ER -