Abstract
The reflection and transmission of a harmonic acoustic plane wave from a fluid‐loaded plate is investigated using the Timoshenko–Mindlin plate equation. In contrast to the classical plate theory, the effects of rotary inertia and shear deformation are included in the Timoshenko–Mindlin theory. The usual acoustic coincidence frequency and angle based on the classical theory are shown to depart from the present results based on the Timoshenko–Mindlin theory as the frequency–plate thickness product increases. Furthermore, an additional acoustic coincidence frequency and angle are also noted in the present analysis for large frequency‐plate thickness products. Several numerical results are presented to illustrate the effects of the incident angle, frequency, plate thickness, and damping on the transmission of an incident acoustic plane wave through a steel plate in water.Subject Classification: 20.60; 40.24; 20.30.
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