Abstract

Dilatational vibration modes in sandwich panels have been shown to produce an undesirable “coincidence-type” response in the sound-transmission spectrum of light-weight sandwich panels in the medium-to-high frequency range. The governing characteristic frequency equations were developed by employing the Rayleigh-Ritz energy principle for a sandwich panel with variable dimensions and properties. The present solution employs a general strain-energy relation without restricting the skin materials to be identical. Eight characteristic natural frequencies involving dilatational, flexural, and longitudinal effects were determined as a function of panel dimensions and material properties for a simply supported panel. Since the dilatational mode is related to the core properties, particular attention was given to the influence of the core properties on the dilatational natural frequencies. A number of experimental scale panels with various skin and core materials were tested under random-incidence sound-transmission conditions and compared with the theoretical predictions.

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