Dynamic Response of Acoustically Excited Plates Resting on Elastic Foundations

Abstract eng:
In order to ensure integrity of thermal protection system for hypersonic vehicles, the stochastic dynamic response induced by the combination of thermal and acoustic loadings has been investigated for a thin panel resting on a two-parameter elastic foundation. A theoretical model is developed based on the Kirchhoff thin-plate assumptions and general von Karman-type equation through Galerkin method. A dynamic response evolution parameter deduced from the primary-mode modal equation and the Fokker-Planck distribution function is proposed to characterize a transition from linear vibration to fiilly nonlinear dynamic snap-through for a thermally-buckled panel. The study demonstrates the combination of acoustic excitation, thermal effect and structural stiffness including elastic foundation stiffness governs the dynamic response evolution. As the elastic foundation stiffness increases, the buckling temperature increases and the postbuckling deflection decreases, which promote the nonlinear dynamic snap-through response remarkably for the postbuckled panel with reducing snap-through amplitude.

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