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Diffuse Energy Propagation On Heterogeneous Plates: Structural Acoustics Radiative Transfer Theory, Joseph A. Turner, Richard L. Weaver
Diffuse Energy Propagation On Heterogeneous Plates: Structural Acoustics Radiative Transfer Theory, Joseph A. Turner, Richard L. Weaver
Department of Engineering Mechanics: Faculty Publications
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 …
Coupling And Attenuation Of Waves In Plates By Randomly Distributed Attached Impedances, Joseph A. Turner, Richard L. Weaver
Coupling And Attenuation Of Waves In Plates By Randomly Distributed Attached Impedances, Joseph A. Turner, Richard L. Weaver
Department of Engineering Mechanics: Faculty Publications
The average response of an infinite thin plate with statistically homogeneous attached random impedances is examined. The added impedances, which represent typical heterogeneities that might occur on complex shells, provide light coupling between the extensional, shear, and flexural waves. The mean plate response is formulated in terms of the Dyson equation which is solved within the assumptions of the first-order smoothing approximation, or Keller approximation, valid when the heterogeneities are weak. Scattering attenuations are derived for each propagation mode. It is shown that the attenuation of one wave type due to coupling to another is proportional to the modal density …