A sandwich plate with a piezoelectric core is constructed using the shear mode of piezoelectric materials. The Raleigh-Ritz formulation for the proposed plate is developed based on the principle of stationary potential energy. An approximate solution for a clamped-clamped-free-free square sandwich plate is obtained based on the Raleigh-Ritz formulation. Computationally efficient finite element models for a clamped-clamped-free-free and a cantilever sandwich plate are developed. The solutions of the Raleigh-Ritz formulation are compared with those of finite element analysis. It is shown that the Raleigh-Ritz formulation is applicable to the proposed adaptive sandwich plate.
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Zhang et al. (1999) studied this question.
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