A thickness-shear mode in a two-layered piezoelectric plate transformer with an imperfect interface is proposed. Based on the shear-slip interface model which is used to simulate the influence of viscoelastic imperfect interface, an exact solution from the three-dimensional equations of piezoelectricity is obtained. Numerical results reveal the effects of interface parameters on the transforming ratio, power density, input admittance, efficiency and displacement and stress distributions along the thickness direction, which could offer theoretical guidance in the design of piezoelectric transformers.

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