Naumenko Natalya F
IEEE Trans Ultrason Ferroelectr Freq Control. 2014 Sep;61(9):1525-32. doi: 10.1109/TUFFC.2014.3066.
Dispersion of Lamb waves propagating in AlN plates with a periodic Al grating on the top surface and an Al electrode on the bottom surface is investigated using the numerical technique SDA-FEM-SDA, which combines finite element modeling (FEM) analysis of the electrode region with spectral-domain analysis (SDA) of the adjacent multi-layered half-spaces. Characteristics of zero-order and higher-order Lamb waves are presented as functions of plate thickness and spectral frequency, which varies in the first Brillouin zone. The structures of typical Lamb waves are examined via visualization of the instantaneous displacement fields in the AlN plate confined between the grating and the bottom electrode. The mechanism of building hybrid modes, which arise from intermode coupling between the counter-propagating Lamb waves of different symmetry and order, is illustrated by two examples of modes propagating with wavelengths λ = 3p and λ = 4p, where p is the pitch of the grating.
利用SDA-FEM-SDA数值技术研究了在顶部表面具有周期性铝光栅且底部表面具有铝电极的氮化铝板中传播的兰姆波的频散特性，该技术将电极区域的有限元建模（FEM）分析与相邻多层半空间的谱域分析（SDA）相结合。给出了零阶和高阶兰姆波特性随板厚和谱频率的变化关系，谱频率在第一布里渊区内变化。通过可视化限制在光栅和底部电极之间的氮化铝板中的瞬时位移场，研究了典型兰姆波的结构。通过两个波长为λ = 3p和λ = 4p（其中p为光栅间距）的模式传播示例，阐述了由不同对称性和阶次的反向传播兰姆波之间的模式间耦合产生的混合模式的形成机制。
