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Article Dans Une Revue Journal of the Acoustical Society of America Année : 2015

Ground cross-modal impedance as a tool for analyzing ground/plate interaction and ground wave propagation

Résumé

An analytical approach is investigated to model ground–plate interaction based on modal decomposition and the two-dimensional Fourier transform. A finite rectangular plate subjected to flexural vibration is coupled with the ground and modeled with the Kirchhoff hypothesis. A Navier equation represents the stratified ground, assumed infinite in the x- and y-directions and free at the top surface. To obtain an analytical solution, modal decomposition is applied to the structure and a Fourier Transform is applied to the ground. The result is a new tool for analyzing ground–plate interaction to resolve this problem: ground cross-modal impedance. It allows quantifying the added-stiffness, added-mass, and added-damping from the ground to the structure. Similarity with the parallel acoustic problem is highlighted. A comparison between the theory and the experiment shows good matching. Finally, specific cases are investigated, notably the influence of layer depth on plate vibration.
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Dates et versions

hal-01153569 , version 1 (20-05-2015)

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Loïc Grau, Bernard Laulagnet. Ground cross-modal impedance as a tool for analyzing ground/plate interaction and ground wave propagation. Journal of the Acoustical Society of America, 2015, 137 (5), pp.2901. ⟨10.1121/1.4919332⟩. ⟨hal-01153569⟩
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