Yang Zengtao, Hu Yuantai, Wang Ji, Yang Jiashi
Institute of Mechanics and Sensing Technology, School of Civil Engineering and Architecture, Central South University, Changsha, Hunan, China.
IEEE Trans Ultrason Ferroelectr Freq Control. 2009 Jan;56(1):220-4. doi: 10.1109/TUFFC.2009.1022.
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.
我们指出了坡印廷效应在非线性弹性中的一个影响。结果表明，由于坡印廷效应，当厚度剪切变形不再是无穷小时，在旋转Y切石英的平板厚度剪切模式谐振器中会诱发厚度拉伸振动。当厚度拉伸模式的频率是厚度剪切模式频率的两倍时，这种非线性耦合尤为强烈。诱发的厚度拉伸振动通过马蒂厄方程影响工作厚度剪切模式。
