VIBRATIONS OF A CRYSTAL PLATE UNDER A THERMAL BIAS

摘要

We study thickness-shear vibrations of a crystal plate constrained by two elastic layers with initial deformations caused by a temperature change. The theory for small deformations superposed on finite biasing deformations in a thermoelastic body is used. It is shown that the resonant frequencies of the incremental shear vibration shift when temperature changes. The temperature-induced frequency shift depends linearly on the temperature change and can be used for temperature sensing. The dependence of the temperature-induced frequency shift on various material and geometric parameters of the structure is examined.