Author Affiliations
1Anhui University of Science and Technology, State Key Laboratory of Mining Response and Disaster Prevention and Control in Deep Coal Mines, Huainan 232001, China2Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei 230031, China3University of Science and Technology of China, Hefei 230031, Chinashow less
Fig. 1. Schematic diagram of photoacoustic spectroscopy gas detection principle.光声光谱气体检测原理示意图
Fig. 2. Photoacoustic spectroscopy gas detection device.光声光谱气体检测实验装置图
Fig. 3. Acoustic physical model of photoacoustic cell cavity.光声池空腔声学物理模型
Fig. 4. Acoustic mode simulation of photoacoustic cell cavity: (a)The first mode (265 Hz); (b) the second mode (1659 Hz); (c) the third mode (3125 Hz); (d) the fourth mode (3490 Hz); (e) the fifth mode (3680 Hz); (f) the sixth mode (4966 Hz) ; (g) the seventh mode (5123 Hz); (h) the eighth mode (6207 Hz).光声池空腔声学模态仿真云图
Fig. 5. Two dimensional axisymmetric physical model of photoacoustic cell.光声池二维轴对称物理模型
Fig. 6. Detail drawing of mixed meshes in the middle of resonator.谐振腔中部混合网格剖分细节图
Fig. 7. Simulation curve of photoacoustic cell's coarse frequency response.光声池粗频响应仿真曲线
Fig. 8. Simulation curve of photoacoustic cell's fine frequency response.光声池细频响应仿真曲线
Fig. 9. Sound pressure characteristic curve of cavity geometry of photoacoustic cell.光声池谐振腔母线声压特性曲线
Fig. 10. Temperature rise characteristic curve of orthogonal center line of photoacoustic cavity resonator axis.光声池谐振腔轴线正交中心线温升特性曲线
Fig. 11. Comparison of calculation results: (a) Resonance frequency; (b) quality factor; (c) pool constant; (d) boundary layer thickness.计算结果比较
Fig. 12. Optimum design parameters of photoacoustic cell.光声池参数优化设计选取
Fig. 13. Pareto optimal solution frontier distribution map.Pareto最优解前沿分布图
因素 | 编码水平 | –1 | 0 | 1 | A: 底圆半径rc/mm
| 5 | 6 | 7 | B: 圆台高度hc/mm
| 8 | 10 | 12 | C: 谐振腔半径Rc/mm
| 3 | 4 | 5 | D: 谐振腔长度Lc/mm
| 60 | 70 | 80 |
|
Table 1. The factors and levels graph.
因素水平表
目标响应 | 相关系数R2 | 校正系数R2adj | P值
| f1(x): Q | 0.9997 | 0.9993 | < 0.0001 | f2(x): Ccell/(Pa·cm) · W–1 | 0.9999 | 0.9982 | < 0.0001 | f3(x): f/Hz
| 0.9998 | 0.9996 | < 0.0001 |
|
Table 2. Fitting results of surrogate models.
代理模型拟合结果
方案 | rc/mm
| hc/mm
| Rc/mm
| Lc/mm
| 1 | 5.96 | 11.99 | 3.55 | 61.43 | 2 | 5.6 | 11.99 | 4.78 | 60.28 | 3 | 7.0 | 11.99 | 5.0 | 60.0 | 4 | 5.6 | 12.0 | 4.7 | 60.0 |
|
Table 3. Optimized scheme value.
优化后设计变量值
指标 | 初始值 | 优化后 | 变化率/% | 代理
模型
| 数值
模拟
| 误差
率/%
| Q | 63.7 | 95.2 | 94.9 | 0.32 | + 48.9 | Ccell/( Pa·cm) ·W–1 | 1750 | 2321 | 2353 | 1.3 | + 34.4 | f/Hz
| 1648 | 2000 | 2002 | 0.1 | + 21.4 |
|
Table 4. Comparison of index results.
相关指标结果对比