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