Author Affiliations
1Institute of Mathematical, Lanzhou Jiaotong University, Lanzhou 730070, China2Department of Physics, Lanzhou City University, Lanzhou 730070, Chinashow less
Fig. 1. 1 × 5 supercell two-dimensional piezoelectric phonon crystal plate and its primary cells: (a) The supercell plan; (b) the protocell stereogram; (c) the protocell floor plan; (d) the first Brillouin zone (the shadow part is the irreducible brillouin zone).1 × 5超元胞二维压电声子晶体板及其初基原胞示意图 (a) 1 × 5超胞; (b)原胞立体图; (c)原胞平面图; (d)第一布里渊区(阴影部分为不可约布里渊区)
Fig. 2. The finite structure for the calculation of the transmission loss.用于计算传输损失的有限结构
Fig. 3. Schematic diagram of energy band structure of piezoelectric phononic crystal plate with perfect and periodic defect structures.完美和缺陷周期性结构压电声子晶体板的能带结构示意图
Fig. 4. Schematic diagram of transmission characteristics of piezoelectric phonon crystal plates with perfect and periodic defect structures.完美和缺陷周期性结构压电声子晶体板传输特性对比示意图
Fig. 5. The position transmission loss and band structures of two different defects in the 1 × 5 supercells: (a) The point defect is at pattern B; (b) the point defect is at pattern C.1 × 5超元胞的两种不同点缺陷位置传输损失和能带结构 (a)点缺陷为模式B; (b)点缺陷为模式C
Fig. 6. Comparison diagram of transmission characteristics of three different defect locations of the supercell.超元胞的三种不同点缺陷位置的传输特性对比
Fig. 7. Displacement vector fields of piezoelectric phonon crystal plates with defect states at three different positions.压电声子晶体板缺陷态处于三种不同位置的位移矢量场
Fig. 8. Influence of piezoelectric constant on the transmission characteristics of phonon crystal plates.压电常数对声子晶体板传输特性的影响
Fig. 9. Effect of piezoelectric constant e'' on upper and lower edge (i.e. defect state) of fifth and sixth complete bandgap.
压电常数e''对第五和第六完全带隙上边缘和下边缘(即缺陷态)的影响
Fig. 10. Vibration energy recovery circuit diagram.振动能量回收整流电路原理图
Fig. 11. Voltage waveform of upper and lower surface of piezoelectric scatterer.压电散射体上下表面电压波形图
Fig. 12. Schematic diagram of resistance R output power varying with excitation voltage at three different defect positions
三种不同点缺陷位置的电阻R输出功率随激励电压的变化示意图
密度ρ/kg·m–3 | 弹性常数Cij/1010 N·m–2 | | 压电常数e/C·m–2 | | 介电常数ε/10–11 F·m–1 | C11 | C12 | C13 | C33 | C44 | C66 | e15 | e31 | e33 | ε11 | ε33 | 8189 | 12.2 | 11.3 | 10.8 | 11.2 | 6.9 | 6.2 | | 16.0 | –2.7 | 18.6 | | 4193 | 585 |
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Table 1. Piezoelectric material parameters of 0.27PIN-0.4PMN-0.33PT.
| 密度ρ/kg·m–3 | 杨氏模量E/1010 Pa
| 剪切模量μ/1010 Pa
| 有机玻璃 | 1142 | 0.200 | 0.072 | 环氧树脂 | 1180 | 0.435 | 0.159 |
|
Table 2. Material parameters of elastic materials.