Acoustic radiation from fluid-loaded elastic plates I. Antisymmetric modes

The Timoshenko–Mindlin plate equation of motion is modified in order to simultaneously specify the precise cutoff and asymptotic behavior of both antisymmetric modes of plate vibration described by it. A mathematical method for extending equations of motion to include higher order antisymmetric modes is presented. This method is illustrated by the development of an equation of motion for the first four antisymmetric modes of plate vibration.