Acta Photonica Sinica, Volume. 53, Issue 8, 0806002(2024)
Fourier Series Based Grating Wavelength Signal Reconstruction and Accurate Vibration Displacement Measurement
Figures & Tables(18)
Fig. 3. Comparison of wavelength offsets reconstructed using FSWCM with wavelength offsets of the original grating
Fig. 4. Comparison of FSWCM and MFWCM results for vibration acceleration and vibration displacement
Fig. 5. Comparison of wavelength offsets between FSWCM reconstructed gratings and original gratings for dual-frequency vibrational excitation
Fig. 6. Spectrogram of FSWCM-reconstructed grating wavelength offsets versus original grating wavelength offsets under dual-frequency vibration excitation
Fig. 7. The time-domain response of vibration acceleration of FSWCM and MFWCM under dual frequency vibration excitation
Fig. 8. The time-domain response of vibration displacement of FSWCM and MFWCM under dual frequency vibration excitation
Fig. 9. Fiber Bragg grating accelerometer and electrical sensor installation diagram
Fig. 10. Comparison of the wavelength offset of the FSWCM reconstructed grating with the wavelength offset of the original grating for the upper rack Y
Fig. 11. Spectrogram of FSWCM reconstructed grating wavelength offsets versus original grating wavelength offsets for the upper rack Y
Fig. 12. Time domain response of FSWCM and MFWCM vibration acceleration of upper rack Y
Fig. 13. Time domain response of FSWCM and MFWCM vibration displacement of upper rack Y
Table 1. Comparison of vibration acceleration calculation results between FSWCM and MFWCM
View tableView in ArticleTable 1. Comparison of vibration acceleration calculation results between FSWCM and MFWCM
Frequency FSWCM MFWCM Theoretical FSWCM error MFWCM error 60 Hz 5.874 m/s2 5.724 m/s2 6 m/s2 -2.10% -4.60% 100 Hz 5.916 m/s2 5.841 m/s2 6 m/s2 -1.40% -2.65% 150 Hz 6.041 m/s2 5.973 m/s 6 m/s2 0.68% -0.45%
Table 2. Comparison of vibration displacement calculation results between FSWCM and MFWCM
View tableView in ArticleTable 2. Comparison of vibration displacement calculation results between FSWCM and MFWCM
Frequency FSWCM MFWCM Theoretical FSWCM error MFWCM error 60 Hz 43.793 μm 40.274 μm 42.216 μm 3.74% -4.60% 100 Hz 15.086 μm 14.796 μm 15.198 μm -0.74% -2.65% 150 Hz 6.795 μm 6.725 μm 6.754 μm 0.61% -0.43%
Table 3. Dual-frequency vibration excitation parameters
View tableView in ArticleTable 3. Dual-frequency vibration excitation parameters
Frequency1 Frequency2 Acceleration1 Acceleration2 Phase difference 20 Hz 60 Hz 2.461 m/s2 4.271 m/s2 1.788π 60 Hz 100 Hz 3.253 m/s2 2.8 m/s2 1.788π 60 Hz 250 Hz 2.39 m/s2 1.655 m/s2 1.788π 100 Hz 250 Hz 2.828 m/s2 2.263 m/s2 1.788π
Table 4. Comparison of peak-to-peak vibration displacements for FSWCM and MFWCM
View tableView in ArticleTable 4. Comparison of peak-to-peak vibration displacements for FSWCM and MFWCM
Frequency FSWCM MFWCM Theoretical FSWCM error MFWCM error 20 Hz， 60 Hz 307.199 μm 78.042 μm 303.079 μm 1.36% -74.25% 60 Hz， 100 Hz 54.384 μm 75.834 μm 59.402 μm -8.45% 27.66% 60 Hz， 250 Hz 36.074 μm 40.125 μm 34.927 μm 3.28% 14.88% 100 Hz， 250 Hz 16.388 μm 16.797 μm 15.720 μm 4.25% 6.85%
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Cui ZHANG, Rui LUO, Yinjie ZHANG, Sikai JIA, Weibing GAN. Fourier Series Based Grating Wavelength Signal Reconstruction and Accurate Vibration Displacement Measurement[J]. Acta Photonica Sinica, 2024, 53(8): 0806002
Paper Information
Category: Fiber Optics and Optical Communications
Received: Dec. 13, 2023
Accepted: Mar. 4, 2024
Published Online: Oct. 15, 2024
The Author Email: GAN Weibing (ganweibing@whut.edu.cn)
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