
Accession Number : ADA189261
Title : Parametric Study of AccelerationInduced Stresses and Frequency Changes in DoublyRotated Crystal Resonators.
Descriptive Note : Final rept. 16 Jul 8430 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 thicknessshear 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 ultraprecision frequency control. The complexity of the problem mainly comes from the constitutive equations of the crystal: (a) For doublyrotated cuts of quartz resonators, the stressstrain relations possess triclinic symmetry, the most general anisotropic relations (b) For accurate prediction of frequency changes, the thirdorder 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