Thickness‐Shear and Flexural Vibrations of Crystal Plates
Thickness‐Shear and Flexural Vibrations of Crystal Plates
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DOI：
10.1063/1.1699948
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发表时间：
1951-03
影响因子：
3.2
通讯作者：
R. D. Mindlin
中科院分区：
文献类型：
--
作者：
R. D. Mindlin
将包括转动惯量和剪切效应在内的弹性板弯曲运动理论推广到水晶板。对于平行于一条边的厚度剪切变形激励的矩形薄板，给出了近似解。给出了矩形、AT形、石英板的共振频率的计算结果，并与实验数据进行了比较。对于设计中特别感兴趣的共振，得到了与频率、尺寸和晶体性质相关的简单的代数公式。
The theory of flexural motions of elastic plates, including the effects of rotatory inertia and shear, is extended to crystal plates. The equations are solved approximately for the case of rectangular plates excited by thickness‐shear deformation parallel to one edge. Results of computations of resonant frequencies of rectangular, AT‐cut, quartz plates are shown and compared with experimental data. Simple algebraic formulas are obtained relating frequency, dimensions, and crystal properties for resonances of special interest in design.