An Electromechanical Representation of a Piezoelectric Crystal Used as a Transducer

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Abstract
An electromechanical representation of a piezoelectric crystal which can represent the crystal when it is used to drive an external mechanical system is given in this paper. The elements of the system are evaluated in terms of the electrical, piezoelectric, and mechanical constants of the crystal. When the crystal is used as a purely electrical element, the representation reduces to the usual form. The equivalent network is applied in evaluating the effect of supersonic radiation on the decrement of a quartz crystal and in the design of a mechanical system driven by a piezoelectric crystal.