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- W2570741868 abstract "This paper describes the shear coefficient K of transverse vibration for quartz crystal that is an anisotropic material. In this paper, we derive the shear coefficient K for quartz crystal of rectangular cross section in Timoshenko's beam theory of three dimensional elasticity. The theoretical result gives K as a function of the transformed elastic stiffness constants c'/sub 22/, c/spl circ//sub 44/, c'/sub 66/. For an isotropic material it agrees completely with that derived by G.R. Cowper (1966). In addition, a value of K and its temperature coefficient versus cut angle is calculated, so that K has a value of 0.796 to 0.867 and its temperature coefficient of the first order varies from -15.3/spl times/10/sup -6///spl deg/C to +13.2/spl times/10/sup -6///spl deg/C, when a Z-plate of quartz crystal is rotated with a cut angle /spl theta/ of 0 to 180 degrees about the x-axis. The values of K are then compared with those obtained by other authors." @default.
- W2570741868 created "2017-01-13" @default.
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- W2570741868 date "2002-11-19" @default.
- W2570741868 modified "2023-09-26" @default.
- W2570741868 title "The shear coefficient for quartz crystal of rectangular cross section in Timoshenko's beam theory" @default.
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- W2570741868 doi "https://doi.org/10.1109/freq.1995.484084" @default.
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