首页
按字顺浏览
期刊浏览
卷期浏览
Extensional, Flexural, and Width‐Shear Vibrations of Thin Rectangular Crystal Pl...
|
Extensional, Flexural, and Width‐Shear Vibrations of Thin Rectangular Crystal Plates
作者:
P. C. Y. Lee,
期刊:
Journal of Applied Physics
(AIP Available online 1971)
卷期:
Volume 42,
issue 11
页码: 4139-4144
ISSN:0021-8979
年代: 1971
DOI:10.1063/1.1659744
出版商: AIP
数据来源: AIP
摘要:
An approximate one‐dimensional theory is derived for thin crystal plates or bars with narrow rectangular cross section, and for cases in which the stiffness matrix of the crystalcijreferring to the plate axes exhibits monoclinic symmetry. A set of five equations of motion is separated into two groups: the extensional, width‐length flexural, and width‐shear motion; and the transverse shear and width‐twist motion. Closed form solutions of coupled extensional, flexural, and width‐shear vibration are obtained for thin rectangular plates with free edges. Calculated resonant frequencies as a function of length‐to‐width ratio of the plate are compared with detailed measurements by Spears on +5° X‐cut quartz plates. For the use in design, explicit algebraic formulas for predicting extensional and flexural frequencies are obtained in terms of elastic stiffnesses, density, and width‐to‐length ratio of the plates.
点击下载:
PDF
(374KB)
返 回
|
|