Analysis of the relationship between the mode shapes of a landmine’s upper casing and its laser speckle interference signal
doi: 10.37188/CO.EN.2022-0001
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摘要:
本文研究了塑壳雷体罩的振型与激光散斑干涉信号之间的映射关系。根据薄圆板的振动方程，建立了地雷上壳体的振型函数。基于激光剪切散斑干涉原理和CCD相机的时间平均法，将振型的离面位移映射到干涉激光的相位。建立的映射关系表明地雷的不同振型对应于独特的贝塞尔条纹。此外，还模拟分析了两种模式的贝塞尔条纹，并进行了实验验证，数值计算和实验结果均验证了理论结论。本文研究为实现声光探雷的快速扫描技术提供了理论依据。
Abstract:The mapping relationship between the mode shapes of a plastic landmine’s upper casing and its laser speckle interference signal was studied. The mode shape function of a landmine’s upper casing is established according to the vibration equation of its thin circular plate. Then, based on the principle of laser shearing speckle interference and the time-average method of a CCD camera, we mapped the out-of-plane displacement of the mode shape to the phase of the interference laser. The study shows that the different mode shapes of the landmine correspond to the unique Bessel fringes. Furthermore, the Bessel fringes of two modes are simulated, and the corresponding experiments were carried out. Both the numerical and experimental results confirm the theoretical conclusions, the research in this paper can provide theoretical evidence for realizing the rapid scanning technology of acoustic-optics landmine detection.
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Figure 1. Analytical object and model of landmine’s multi-modal vibration characteristics. (a) Anti-tank plastic landmine; (b) equivalent cylindrical thin circular plate
Figure 2. Contour diagrams of landmine mode shapes. (a) (0,1) mode; (b) (0,2) mode; (c) (1,1) mode
Figure 3. Vibration deformation schematic diagram of the soil surface with and without landmine under the excitation of sound waves
Figure 4. The optical path of laser speckle interferometry measurement on the mode shapes of the landmine’s upper casing
Figure 5. Vibration diagram under (0,1) mode. (a) Three-dimensional vibration mode diagram; (b) contour map
Figure 6. Vibration diagram under (0,2) mode. (a) Three-dimensional vibration mode diagram; (b) contour map
Figure 7. Vibration displacement gradient change under the (0,1) mode. (a) Three-dimensional diagram of the displacement gradient change; (b) contour map
Figure 8. Vibration displacement gradient change under the (0,2) mode. (a) Three-dimensional diagram of displacement gradient change; (b) contour map
Figure 9. Mine modal shapes based on speckle interference fringes. (a) Under the (0,1) mode; (b) under the (0,2) mode
Figure 10. Acousto-optic mine detection experimental system based on laser speckle measurement
Figure 11. (a) The type-69 plastic case coach mine in dry sand. Bessel fringes obtained with different excitation sound frequencies and different sound pressure levels. (b) 110 Hz, 100 dB; (c) 110 Hz, 95 dB; (d) 110 Hz, 90 dB
Figure 12. Bessel fringes of the type-69 plastic case coach mine in wet sand with different excitation sound frequencies and different sound pressure levels. (a) 110 Hz, 100 dB; (b) 110 Hz, 95 dB; (c) 110 Hz, 90 dB
Figure 13. (a) Type 72 anti-personnel coach mine, and it’s Bessel fringes obtained with different excitation sound frequencies and different sound pressure levels. (b) 145 Hz, 100 dB; (c) 145 Hz, 98 dB; (d) 145 Hz, 95 dB
Figure 14. (a) Brick in dry sand and (b) it’s speckle interferometer detection results obtained with the excitation sound frequency of 145 Hz and the sound pressure level of 100 dB
Figure 15. Vibration amplitude of the type-69 plastic case coach mine in dry sand with the excitation sound frequency of 110 Hz and the sound pressure level of 100 dB. (a) Three-dimensional vibration; (b) contour map
Table 1. Simulation parameter setting
Parameter Simulation settings Transverse stiffness ratio 1000 Poisson’s ratio：$ \upsilon $ 0.33 Young’s modulus: E 17×1019 Pa The radius of the landmine’s upper casing：$ a $ 13.5 cm Laser wavelength：$ \mathrm{\lambda } $ 658 nm Shear amount：$ \delta x $ 6 mm Image size 512×512 Mode (0,1) order, (0,2) order 
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