Coupled Thickness Shear and Flexure Displacements in RectangularATQuartz Plates
作者:
W. J. Spencer,
R. M. Hunt,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1966)
卷期:
Volume 39,
issue 5A
页码: 929-935
ISSN:0001-4966
年代: 1966
DOI:10.1121/1.1909974
出版商: Acoustical Society of America
数据来源: AIP
摘要:
The length variation of the thickness‐shear and thickness‐flexure modes in rectangularATquartz plates are computed from Mindlin's first order theory, which assumes particular thickness variation. These curves are compared with the mode shapes determined experimentally by measuring the x‐ray intensity diffracted from vibrating quartz plates. The diffracted x‐ray intensity is proportional to the curvature, a combination of strain‐gradient terms of the Bragg planes, which may be approximated from the first‐order theory. The approximation for the curvature is quite good for modes that are essentially thickness shear. When the mode has a large flexure component, the approximation used to determine the curvature of the Bragg planes is not as accurate.
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