ANHARMONIC, THICKNESS-TWIST OVERTONES OF THICKNESS-SHEAR AND FLEXURAL VIBRATIONS OF RECTANGULAR, AT -CUT, QUARTZ PLATES.
Interim technical rept. no. 4,
COLUMBIA UNIV NEW YORK DEPT OF CIVIL ENGINEERING AND ENGINEERING MECHANICS
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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
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