In this study, the governing equations are derived for the buckling and vibration behaviors of hybrid composite plates having a general state of nonuniform initial stress based on the Reissner–Mindlin plate theory. The equations include the effects of transverse shear and rotary inertia. Using these derived governing equations, the natural frequencies and buckling loads of hybrid composite (Al/GFRP/Al) plates are investigated. The initial stress is taken to be a combination of pure bending stress and uniform normal stress in the example problems. The natural frequency and buckling load are sensitive to the thickness ratio of Al to GFRP and the state of initial stresses. The effects of various parameters on the natural frequencies and buckling loads are presented here.
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