Accession Number:

AD0661197

Title:

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

Descriptive Note:

Interim technical rept. no. 4,

Corporate Author:

COLUMBIA UNIV NEW YORK DEPT OF CIVIL ENGINEERING AND ENGINEERING MECHANICS

Personal Author(s):

• Mindlin,R. D.
• Spencer,W. J.

Report Date:

1967-06-01

Pagination or Media Count:

41.0

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

Descriptors:

• (*QUARTZ
• VIBRATION)
• (*QUARTZ RESONATORS
• EQUATIONS OF MOTION)
• RESONANT FREQUENCY
• MATHEMATICAL PREDICTION
• PIEZOELECTRIC CRYSTALS

Subject Categories:

• Electrical and Electronic Equipment

Distribution Statement:

APPROVED FOR PUBLIC RELEASE