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Nonlinear coupling between thickness- shear and thickness-stretch modes in a rotated y-cut quartz resonator

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4 Author(s)
Zengtao Yang ; Sch. of Civil Eng. & Archit., Central South Univ., Changsha ; Yuantai Hu ; Ji Wang ; Jiashi Yang

We point out an implication of the Poynting effect in nonlinear elasticity. It is shown that, due to the Poynting effect, thickness-stretch vibration can be induced in a plate thickness-shear mode resonator of rotated Y-cut quartz when the thickness-shear deformation is no longer infinitesimal. This nonlinear coupling is particularly strong when the frequency of the thickness-stretch mode is twice the frequency of the thickness-shear mode. The induced thickness-stretch vibration affects the operating thickness-shear mode through Mathieu's equation.

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Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on  (Volume:56 ,  Issue: 1 )