Accession Number : AD0648335

Title :   BECHMANN'S NUMBER FOR HARMONIC OVERTONES OF THICKNESS-TWIST VIBRATIONS OF ROTATED-Y-CUT QUARTZ PLATES.

Descriptive Note : Interim technical rept. nos. 3 and 4,

Corporate Author : COLUMBIA UNIV NEW YORK DEPT OF CIVIL ENGINEERING AND ENGINEERING MECHANICS

Personal Author(s) : Mindlin,R. D.

Report Date : OCT 1966

Pagination or Media Count : 19

Abstract : Two methods are described for calculating Bechmann's 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 Bechmann's Number and it is shown to give results very close to the former - which requires extensive computations. (Author)

Descriptors :   (*QUARTZ, HARMONIC ANALYSIS), MECHANICAL WAVES, ELASTIC PROPERTIES, VIBRATION, THICKNESS, COATINGS, HARMONIC GENERATORS

Subject Categories : Electrical and Electronic Equipment
      Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE