Abstract
If the ratio of the length of an electrode strip to the thickness of a partially electroded infinite crystal plate is kept below a certain critical value known as Bechmann's number— which depends on certain geometric and material parameters then, for the crystal vibrating at frequencies in the neighborhood of its fundamental thickness-shear frequency, there are no anharmonic overtones of the thickness-shear motion. The concept of the discontinuously plated structure can be employed to design crystals with large values of Bechmann's number without decreasing the thickness of the electrode and consequently increasing the electrical resistance of the electrode. In this paper, by means of a special approximate theory, an explicit formula for the Bechmann's number of a discontinuously plated structure is obtained in terms of the dimensions and material properties of the insulating film, the electrode, and the crystal.
Published Version
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