Fig. 1. Diagram of FBG sensor structure
Fig. 2. Structure of mechanics model of sensor unit. (a) Top view; (b) front view
Fig. 3. Force analysis of cantilever beam. (a) Axonometric drawing; (b) front view
Fig. 4. Variations in S and f with L (λ=1550 mm, b=16 mm, h=2 mm, t=5 mm, m=40 g)
Fig. 5. Variations in S and f with b (λ=1550 mm, L=30 mm, h=2 mm, t=5 mm, m=40 g)
Fig. 6. Variations in S and f with h (λ=1550 mm, L=30 mm, b=16 mm, t=5 mm, m=40 g)
Fig. 7. Variations in S and f with m (λ=1550 mm, L=30 mm, b=16 mm, h=2 mm, t=5 mm)
Fig. 8. First-order mode shape diagram of sensor 1
Fig. 9. First-order mode shape diagram of sensor 2
Fig. 10. Experimental system diagram of sensor
Fig. 11. Amplitude-frequency response curves of sensor 1
Fig. 12. Amplitude-frequency response curves of sensor 2
Fig. 13. Time domain diagrams of two FBGs of sensor1 when frequency is 50 Hz and amplitude of excitation acceleration is 10 m·s-2. (a) FBG1; (b) FBG2
Fig. 14. Linearity curve of sensor 1
Fig. 15. Linearity curve of sensor 2
Fig. 16. Curve of cross-axis anti-interference characteristic of sensor 1
Fig. 17. Curve of cross-axis anti-interference characteristic of sensor 2
Parameter | Value |
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Length of cantilever beam L /mm | 36(or 24) | Optical fiber span l /mm | 10 | Width of cantilever beam b /mm | 16 | Height of cantilever beam h /mm | 2 | Height of platform t /mm | 5 | Quality of mass block m /g | 60(or 28) | Grating wavelength λ /nm | 1550 | Young's modulus ofcantilever E /GPa | 210 | Young's modulus of optical fiber Ef /GPa | 72 | Cross section area of optical fiber Af /(10-8 m2) | 1.227 |
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Table 1. Structure and material parameters of FBG vibration sensor
Frequency /Hz | 20 | 50 | 80 | 100 | 200 |
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Sensitivityof sensor 1 /( pm·g-1) | 117.3 | 120.1 | 123.6 | | | Sensitivityof sensor 2 /(pm·g-1) | | 32.0 | | 32.6 | 34.1 |
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Table 2. Sensitivity of FBG vibration sensor under different excitation frequencies