Analytical Investigations of the Acceleration Sensitivity.

Abstract

A number of distinct treatments of transversely varying thickness modes in contoured quartz resonators with beveled edges have been performed. In the first two of these treatments the conditions at the free edge of the resonator were ignored. The first of the two employed rectangular coordinates while the second employed the more suitable cylindrical coordinates. In the third treatment the dominant condition at the free-edge of the cylindrical resonator was included. This latter treatment resulted in an analytical-computational procedure for the estimation of the diameter required for a good resonator. In other work the influence of an asymmetric air-gap on transversely varying thickness modes in quartz trapped energy resonators was determined and the equation for transversely varying thickness modes was modified to account for the gap. In different work the similarities and differences in the analytical-computational description of the acceleration sensitivities of acoustic bulk and surface wave resonators were noted and compared.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1997
Accession Number
ADA321495

Entities

People

  • Harry F. Tiersten

Organizations

  • Rensselaer Polytechnic Institute

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Air Gaps
  • Cartesian Coordinates
  • Diameters
  • Electrodes
  • Engineers
  • Frequency
  • Geometry
  • New York
  • Quartz Resonators
  • Resonant Frequency
  • Resonators
  • Sensitivity
  • Surface Waves
  • Thickness
  • Vibration
  • Waves

Fields of Study

  • Physics

Readers

  • Electronics Engineering
  • Fluid Dynamics.
  • Wave Propagation and Nonlinear Chaotic Dynamics.