Zou Xin-Ye, Liang Bin, Chen Qian, Cheng Jian-Chun
Key Laboratory of Modern Acoustics, MOE, and Institute of Acoustics, Nanjing University, Nanjing 210093, China.
IEEE Trans Ultrason Ferroelectr Freq Control. 2009 Feb;56(2):361-7. doi: 10.1109/TUFFC.2009.1045.
We theoretically study the band structures of Lamb waves in one-dimensional phononic crystal plates consisting of piezoelectric ceramics placed periodically in epoxy with epoxy or piezoelectric ceramic substrate by the virtual plane wave expansion method. The dependences of the widths and starting frequencies of first band gaps (FBG) on the substrate's thickness, the filling fraction, and the lattice spacing are calculated for different materials of substrate under different electric boundary conditions, i.e., short circuit (SC) and open circuit (OC). The FBG width decreases gradually as the substrate's thickness increases and the FBG starting frequency increases progressively as the thickness increases on the whole. The FBG widths and starting frequencies with SC are always larger than with OC. Our research shows that it is possible to control the width and starting frequency of the FBG in the engineering according to need by choosing suitable values of the substrate's thickness, the filling fraction, and the lattice spacing.
我们采用虚拟平面波展开法，从理论上研究了由周期性放置在环氧树脂中的压电陶瓷与环氧树脂或压电陶瓷基底组成的一维声子晶体板中兰姆波的能带结构。针对不同的基底材料，在短路（SC）和开路（OC）这两种不同的电边界条件下，计算了第一带隙（FBG）的宽度和起始频率对基底厚度、填充率以及晶格间距的依赖性。总体而言，随着基底厚度增加，FBG宽度逐渐减小，而FBG起始频率逐渐增大。短路条件下的FBG宽度和起始频率总是大于开路条件下的。我们的研究表明，通过选择合适的基底厚度、填充率和晶格间距值，在工程中根据需要控制FBG的宽度和起始频率是可行的。
