Analytical Investigation of the Acceleration Sensitivity of Acoustic Bulk and Surface Wave Resonators

Abstract

An analysis of the in-plane acceleration sensitivity of ST-cut quartz surface wave resonators with the substrate extending beyond interior rectangular supports was performed. An analysis of the normal acceleration sensitivity of contoured AT- and SC-cut quartz crystal resonators supported along rectangular edges was performed. In subsequent work it was shown analytically that the normal acceleration sensitivity of contoured quartz resonators with rectangular supports vanishes when the centers of the mode shape and support rectangle coincide. It has further been shown that the resultant in-plane acceleration sensitivity of contoured quartz resonators with rectangular supports vanishes when the centers of the support rectangle and the mode shape coincide and the active resonator region is supported symmetrically on both sides. Since the resultant in-plane acceleration sensitivity vanishes when the centers of the support rectangle and the mode shape coincide, an analysis of the influence of a relative displacement of the center of the mode shape with respect to rectangular supports was performed.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1991
Accession Number
ADA244394

Entities

People

  • Harry F. Tiersten

Organizations

  • Rensselaer Polytechnic Institute

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Aspect Ratio
  • Constitutive Equations
  • Electronics
  • Engineering
  • Engineers
  • New Jersey
  • New York
  • Quartz Resonators
  • Resonators
  • Sensitivity
  • Shape
  • Substrates
  • Surface Waves
  • Symmetry
  • Variational Principles
  • Waves

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Optical Physics and Photonics.
  • Thermal Physics or Thermal Science.