Du Xiao-Hong, Wang Qing-Ming, Uchino Kenji
Ramtron International Corporation, Colorado Springs, CO 80921, USA.
IEEE Trans Ultrason Ferroelectr Freq Control. 2004 Feb;51(2):227-37.
This paper presents the theoretical derivation for a method of accurately determining the complex coefficients of single crystal piezoelectric materials. The vibration equations are analytically solved for a piezoelectric plate and a piezoelectric thin rod in an arbitrary crystallographic orientation. The solutions provide the distributions of the stresses and the vibration velocities inside the sample and the electrical impedance between the electrodes. Based on the analysis of the solutions, the complex dielectric, elastic, and piezoelectric coefficients are determined from the impedance or admittance measurements near the resonance frequencies. The measurement for LiNbO3 single crystals is used as an example to demonstrate the experiment and calculation procedures and to indicate the comparisons with previous methods.
本文提出了一种精确确定单晶压电材料复系数方法的理论推导。针对任意晶体取向的压电板和压电细棒，对振动方程进行了解析求解。这些解给出了样品内部应力和振动速度的分布以及电极之间的电阻抗。基于对这些解的分析，通过在共振频率附近的阻抗或导纳测量来确定复介电、弹性和压电系数。以铌酸锂单晶的测量为例，展示了实验和计算过程，并指出了与先前方法的比较。
