ANHARMONIC, THICKNESS-TWIST OVERTONES OF THICKNESS-SHEAR AND FLEXURAL VIBRATIONS OF RECTANGULAR, AT -CUT, QUARTZ PLATES.

Abstract

Equations of motion accommodating thickness-twist overtones of thickness-shear and flexural vibrations of rectangular, AT-cut, quartz plates are obtained. The equations are solved for plates with all four edges free. The predicted frequencies are compared with measured resonances. X-ray topographs of typical thickness-twist overtone modes are exhibited which verify that the mode shapes correspond to those predicted. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1967
Accession Number
AD0661197

Entities

People

  • Raymond D. Mindlin
  • W. J. Spencer

Organizations

  • Columbia University

Tags

DTIC Thesaurus Topics

  • Cooperation
  • Equations
  • Equations Of Motion
  • Frequency
  • Frequency Shift
  • Mathematics
  • Resonance
  • Thickness
  • Vibration
  • X Rays

Fields of Study

  • Physics

Readers

  • Microwave Engineering.
  • Structural Dynamics.