BECHMANN'S NUMBER FOR HARMONIC OVERTONES OF THICKNESS-TWIST VIBRATIONS OF ROTATED-Y-CUT QUARTZ PLATES.
Interim technical rept. nos. 3 and 4,
COLUMBIA UNIV NEW YORK DEPT OF CIVIL ENGINEERING AND ENGINEERING MECHANICS
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Two methods are described for calculating Bechmanns Number for harmonic overtones of thickness-twist modes in rotated-Y-cut quartz plates one based on an exact solution of the equations of elasticity and the other based on an asymptotic form of the exact solution. The latter leads to an explicit formula for Bechmanns Number and it is shown to give results very close to the former - which requires extensive computations. Author
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