title: A rheological model for immersed corrugated elastic plates.
abstract: The influence of surface imperfections on the propagation of guided waves in an immersed elastic plate can be interpreted by means of a rheological model. The corrugated surface is modeled by a very thin interface, similar to a Jones spring model, which replaces the continuity boundary conditions at the liquid - corrugated solid-plate interface. As the surrounding liquid is considered to be perfect, only one complex stiffness is used for the model of Jones. The selection of the plate guided mode and the test frequency are motivated by the detectability and non-interference with other modes. The spring stiffness is obtained by a best fit procedure, between the analytical solution and the results obtained by the finite elements method (FEM). One way ensuring the agreement of the two approaches, rheological and FEM, is to consider angular resonances provided by the transmission coefficients. Small changes in the parameters of the roughness keep the positions of the angular resonances of the plate practically unchanged, while at the same time large variations of the half width of the transmission coefficient curve is observed. The effect of corrugation parameters on the guided modes in the plate can be predicted by using the rheological model with the deduced spring complex stiffness.
authors.affiliation: Laboratoire Ondes et Milieux Complexes, UMR 6294, Université du Havre, 75 rue Bellot, CS 80 540, 76058 Le Havre, France.
authors.forename: D
authors.initials: D
authors.lastname: Meier
authors.affiliation: Laboratoire Ondes et Milieux Complexes, UMR 6294, Université du Havre, 75 rue Bellot, CS 80 540, 76058 Le Havre, France. Electronic address: herve.franklin@univ-lehavre.fr.
authors.forename: H
authors.initials: H
authors.lastname: Franklin
authors.affiliation: Department of Mechanics, University Politehnica Bucharest, Splaiul Independentei 313, Bucharest, Romania.
authors.forename: M V
authors.initials: MV
authors.lastname: Predoi
authors.affiliation: Institut Jean Le Rond d'Alembert, UPMC Université Paris 06, UMR 7190, F-75005 Paris, France.
authors.forename: M
authors.initials: M
authors.lastname: Rousseau
authors.affiliation: Laboratoire Ondes et Milieux Complexes, UMR 6294, Université du Havre, 75 rue Bellot, CS 80 540, 76058 Le Havre, France.
authors.forename: J L
authors.initials: JL
authors.lastname: Izbicki
keywords: Breit-Wigner curve; Corrugated plate; Rheological model; Transmission coefficient