Nonlinear coupling between thickness- shear and thickness-stretch modes in a rotated Y-cut quartz resonator.
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.
Yang
Zengtao
Z
Institute of Mechanics and Sensing Technology, School of Civil Engineering and Architecture, Central South University, Changsha, Hunan, China.
Hu
Yuantai
Y
Wang
Ji
J
Yang
Jiashi
J