Chinese Journal of Lasers, Volume. 47, Issue 11, 1106006(2020)
Shape Perception and Three-Dimensional Reconstruction Technology of Plate Structure Based on Fiber Bragg Grating Sensor
Figures & Tables(15)
Fig. 2. Modal analysis diagrams obtained by finite element analysis. (a) First-order strain mode; (b) second-order strain mode; (c) third-order strain mode
Fig. 3. Strain and deformation cloud maps under two central displacements. (a)(b) 0.3 mm; (c)(d) 1.8 mm
Fig. 9. Experimental system of deformation detection based on fiber Bragg grating sensing technology
Fig. 10. Reconstruction maps of three-dimensional deformed surfaces with different center displacements. (a) 0.5 mm; (b) 1.0 mm; (c) 1.5 mm; (d) 2.0 mm
Table 1. Error analysis table for center displacement of 0.5 mm
View tableTable 1. Error analysis table for center displacement of 0.5 mm
Measured point Measured value Dm /mm Interpolation method Inversion value Di /mm Absolute error Δ /mm Relative error σ /% a 0.219 Linear 0.223 0.004 1.80 Quadratic 0.215 0.004 1.80 b 0.319 Linear 0.340 0.021 6.58 Quadratic 0.313 0.006 1.88 c 0.499 Linear 0.535 0.036 7.21 Quadratic 0.501 0.002 0.40 d 0.323 Linear 0.348 0.025 7.74 Quadratic 0.321 0.003 0.93
Table 2. Error analysis table for center displacement of 1.0 mm
View tableTable 2. Error analysis table for center displacement of 1.0 mm
Measuring point Measured value Dm /mm Interpolation method Inversion value Di /mm Absolute error Δ /mm Relative error σ /% a 0.441 Linear 0.454 0.013 2.95 Quadratic 0.432 0.009 2.04 b 0.645 Linear 0.688 0.043 6.67 Quadratic 0.652 0.007 1.08 c 1.000 Linear 1.084 0.084 8.40 Quadratic 1.035 0.034 3.40 d 0.648 Linear 0.694 0.046 7.10 Quadratic 0.645 0.003 0.46
Table 3. Error analysis table for center displacement of 1.5 mm
View tableTable 3. Error analysis table for center displacement of 1.5 mm
Measuring point Measured value Dm /mm Interpolation method Inversion value Di /mm Absolute error Δ /mm Relative error σ /% a 0.647 Linear 0.656 0.009 1.39 Quadratic 0.633 0.014 2.16 b 0.952 Linear 1.024 0.072 7.56 Quadratic 0.945 0.007 0.74 c 1.499 Linear 1.634 0.135 9.01 Quadratic 1.551 0.051 3.40 d 0.957 Linear 1.031 0.074 7.73 Quadratic 0.961 0.004 0.42
Table 4. Error analysis table for center displacement of 2.0 mm
View tableTable 4. Error analysis table for center displacement of 2.0 mm
Measuring point Measured value Dm /mm Interpolation method Inversion value Di /mm Absolute error Δ /mm Relative error σ /% a 0.879 Linear 0.878 0.001 0.11 Quadratic 0.850 0.029 3.30 b 1.279 Linear 1.383 0.104 8.13 Quadratic 1.267 0.012 0.94 c 2.006 Linear 2.204 0.198 9.87 Quadratic 2.063 0.057 2.84 d 1.284 Linear 1.392 0.108 8.41 Quadratic 1.282 0.002 0.16
Table 5. Table of mean error analysis under different center displacements
View tableTable 5. Table of mean error analysis under different center displacements
Table Interpolation method Average absolute error /mm Mean relative error /% Root-mean-square error δ /mm 1 Linear 0.022 5.83 0.024 Quadratic 0.004 1.25 0.005 2 Linear 0.049 6.28 0.053 Quadratic 0.013 1.74 0.021 3 Linear 0.076 6.42 0.085 Quadratic 0.020 1.76 0.034 4 Linear 0.103 6.55 0.124 Quadratic 0.025 1.81 0.038
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Yan Jie, Li Wei, Jiang Mingshun, Zhang Lei, Zhang Faye, Sui Qingmei. Shape Perception and Three-Dimensional Reconstruction Technology of Plate Structure Based on Fiber Bragg Grating Sensor[J]. Chinese Journal of Lasers, 2020, 47(11): 1106006
Paper Information
Category: Fiber optics and optical communication
Received: Apr. 17, 2020
Accepted: --
Published Online: Oct. 20, 2020
The Author Email: Jiang Mingshun (jiangmingshun@sdu.edu.cn)
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