Investigation of effects of viscoelastic boundary supports on transient sound radiated from a rectangular plate by modal strain energy method

Abstract

This work considers analysis of transient sound radiation from an impact-excited rectangular plate with viscoelastic boundary supports based on the Modal Strain Energy (MSE) method. Vibration of the plate is approximated by double infinite series in the spatial coordinates. Each term of the series is constructed with vibration modes of beams having the same boundary conditions as the considered plate, multiplied by a time dependent function. Modal loss factor of each mode is obtained by the MSE method. The sound pressure for impact excitations is obtained in the time and frequency domain by numerical integration of the Rayleigh integral. Then effects of width of the viscoelastic boundary supports on the vibration response and the radiated sound pressure are investigated. It is shown that there is an optimum width of the support.