Longitudinal-transverse ("breathing") vibration modes of orthotropic plates with and without account of its interaction with the surrounding acoustic media

Abstract

© Published under licence by IOP Publishing Ltd. Based on the previously obtained improved equations of motion, the problem of free cylindrical vibration of a hingedly supported plate surrounded by acoustic media is considered. Plate motion equations are obtained taking into account the internal friction of the plate material according to the Kelvin - Voigt model. The motion of acoustic media is described by two-dimensional generalized Helmholtz wave equations, compiled taking into account the internal dissipation of energy by introducing into consideration the complex sound velocity according to Skudrzyk. Based on the obtained solution, a study of resonant nonclassical shearless longitudinal-transverse ("breathing") forms of free vibrations has been carried out at various values of the physical-mechanical properties of the plate material and the parameter characterizing energy dissipation in the acoustic media surrounding the plate.