Accession Number : AD0780445

Title :   An Analysis of Intermodulation in Thickness-Shear and Trapped Energy Resonators.

Descriptive Note : Technical rept.,

Corporate Author : RENSSELAER POLYTECHNIC INST TROY N Y MECHANICS DIV

Personal Author(s) : Tiersten,H. F.

Report Date : MAY 1974

Pagination or Media Count : 53

Abstract : Electroelastic equations containing terms up to cubic in the small mechanical displacement field, but no higher than linear in the electric variables, are applied in the analysis of intermodulation in rotated Y-cut quartz oscillators. Both pure thickness-shear vibrators and essentially thickness-shear trapped energy resonators are treated. Lumped parameter representations of the solutions, which are valid in the vicinity of a resonance, are presented for the linear and nonlinear portions of both the pure thickness-shear and trapped energy thickness-shear problems. The influence of the driving and detecting circuitry is included and, in particular, in each case the relation between the intermodulation and driving voltage is obtained. Application of this relation to a number of AT-cut quartz fundamental and third overtone trapped energy resonators yields good agreement with experiment and an estimate of the fourth order elastic constant for the AT-cut. (Modified author abstract)

Descriptors :   *Crystal oscillators, *Quartz resonators, Piezoelectricity, Elastic properties, Modulation, Vibration, Numerical analysis

Subject Categories : Electrical and Electronic Equipment
      Solid State Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE