Reduced-Order Model of a Fluid-Loaded, Elastomeric-Coated Metallic Plate

摘要

This report derives and analyzes a reduced-order model of a fluid- loaded, elastomeric-coated metallic plate. First, a full-order model of the system is derived using thick plate theory for both the elastomeric coating and the metallic plate. This results in open-form equations of the displacement and stress fields. Next, a reduced-order model is derived by changing the modeling theory of the metallic plate from plate equations to discrete mass equations, which results in a four-by-four system matrix. This new matrix can be symbolically inverted to yield closed-form solutions at every frequency and wavenumber. This closed-formed model is more desirable than the open-form model because the interaction of the physical constants in the stress and displacement fields is explicit. The reduced-order model is graphically compared to the full- order model, indicating that the reduced-order model is an accurate representation of the full-order model.