title: Ground cross-modal impedance as a tool for analyzing ground/plate interaction and ground wave propagation.
abstract: 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.
authors.affiliation: INSA Lyon, Departement Genie Mecanique et Conception, Laboratoire Vibrations et Acoustique, 25 bis av. Jean Capelle, 69100 Villeurbanne, France.
authors.forename: L
authors.initials: L
authors.lastname: Grau
authors.affiliation: INSA Lyon, Departement Genie Mecanique et Conception, Laboratoire Vibrations et Acoustique, 25 bis av. Jean Capelle, 69100 Villeurbanne, France.
authors.forename: B
authors.initials: B
authors.lastname: Laulagnet