Accession Number : ADA189261

Title :   Parametric Study of Acceleration-Induced Stresses and Frequency Changes in Doubly-Rotated Crystal Resonators.

Descriptive Note : Final rept. 16 Jul 84-30 Sep 87,

Corporate Author : PRINCETON UNIV NJ DEPT OF CIVIL ENGINEERING

Personal Author(s) : Lee, P C

PDF Url : ADA189261

Report Date : Nov 1987

Pagination or Media Count : 8

Abstract : The objective of the research is to predict the acceleration sensitivity, i.e., the changes of resonance frequencies in crystal resonators due to applied, steady accelerations, and to identify the effects on the acceleration sensitivity from various parameters, such as the direction of acceleration, crystal plate orientation, plate thickness, support configuration and support structures. The ratios of the frequency shift to the thickness-shear resonance frequency are in the range of 10 to the -8th power to 10 to the -10th power. These frequency changes, although very small in numerical values, are regarded very significant in applications in ultra-precision frequency control. The complexity of the problem mainly comes from the constitutive equations of the crystal: (a) For doubly-rotated cuts of quartz resonators, the stress-strain relations possess triclinic symmetry, the most general anisotropic relations (b) For accurate prediction of frequency changes, the third-order elastic stiffness coefficients, the nonlinear terms, must be taken into account.

Descriptors :   *ACCELERATION, *ELASTIC PROPERTIES, *NONLINEAR SYSTEMS, *QUARTZ RESONATORS, *SHEAR PROPERTIES, *STIFFNESS, *STRESS STRAIN RELATIONS, *THICKNESS, COEFFICIENTS, CRYSTALS, EQUATIONS, FREQUENCY, FREQUENCY SHIFT, PARAMETRIC ANALYSIS, PLATES, PREDICTIONS, RESONANT FREQUENCY, RESONATORS, SENSITIVITY, STEADY STATE, STRESSES, STRUCTURES, SUPPORTS

Subject Categories : Electrical and Electronic Equipment
      Crystallography
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE