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An Analysis of Intermodulation in Thickness-Shear and Trapped Energy Resonators

Download or Read eBook An Analysis of Intermodulation in Thickness-Shear and Trapped Energy Resonators PDF written by H. F. Tiersten and published by . This book was released on 1974 with total page 53 pages. Available in PDF, EPUB and Kindle.
An Analysis of Intermodulation in Thickness-Shear and Trapped Energy Resonators
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Total Pages : 53
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ISBN-10 : OCLC:227589200
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Rating : 4/5 (00 Downloads)

Book Synopsis An Analysis of Intermodulation in Thickness-Shear and Trapped Energy Resonators by : H. F. Tiersten

Book excerpt: Electroelastic equations containing terms up to cubic in the small mechanical displacement field, but no higher than linear in the electric variables, are applied in the analysis of intermodulation in rotated Y-cut quartz oscillators. Both pure thickness-shear vibrators and essentially thickness-shear trapped energy resonators are treated. Lumped parameter representations of the solutions, which are valid in the vicinity of a resonance, are presented for the linear and nonlinear portions of both the pure thickness-shear and trapped energy thickness-shear problems. The influence of the driving and detecting circuitry is included and, in particular, in each case the relation between the intermodulation and driving voltage is obtained. Application of this relation to a number of AT-cut quartz fundamental and third overtone trapped energy resonators yields good agreement with experiment and an estimate of the fourth order elastic constant for the AT-cut. (Modified author abstract).


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