Approximate Theory for the Transverse Motion of a Two-Layered Plate. A Theoretical Model Applicable to Acoustic Scattering from Submerged Structures with Coating Layer(s)

摘要

An approximate theory is developed for the transverse motion of a two-layered plate. The two layers are assumed to be elastic, isotropic, homogeneous, and welded to each other. The theory is similar to the Timoshenko-Mindlin model for a single-layered plate in which corrections are included for shear and rotary inerita. A single equation of transverse motion is derived that predicts the first four antisymmetric modes and is applicable to practical problems. Phase velocities of these modes are numerically analyzed for a plate consisting of a copper layer and a steel layer. (Author)