• Chinese Journal of Lasers
  • Vol. 47, Issue 11, 1106006 (2020)
Yan Jie, Li Wei, Jiang Mingshun*, Zhang Lei, Zhang Faye, and Sui Qingmei
Author Affiliations
  • School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, China
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    DOI: 10.3788/CJL202047.1106006 Cite this Article Set citation alerts
    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 Copy Citation Text show less
    Schematic diagram of spacecraft structure
    Fig. 1. Schematic diagram of spacecraft structure
    Modal analysis diagrams obtained by finite element analysis. (a) First-order strain mode; (b) second-order strain mode; (c) third-order strain mode
    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
    Strain and deformation cloud maps under two central displacements. (a)(b) 0.3 mm; (c)(d) 1.8 mm
    Fig. 3. Strain and deformation cloud maps under two central displacements. (a)(b) 0.3 mm; (c)(d) 1.8 mm
    Diagram of fiber Bragg grating sensor network
    Fig. 4. Diagram of fiber Bragg grating sensor network
    Diagram of micro-element segment before and after deformation
    Fig. 5. Diagram of micro-element segment before and after deformation
    Diagram of orthogonal network of plate structure
    Fig. 6. Diagram of orthogonal network of plate structure
    Coordinate conversion diagram
    Fig. 7. Coordinate conversion diagram
    Diagram of relationship between deformation curve and flat plane
    Fig. 8. Diagram of relationship between deformation curve and flat plane
    Experimental system of deformation detection based on fiber Bragg grating sensing technology
    Fig. 9. Experimental system of deformation detection based on fiber Bragg grating sensing technology
    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
    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
    MeasuredpointMeasured valueDm /mmInterpolationmethodInversion valueDi /mmAbsolute errorΔ /mmRelative errorσ /%
    a0.219Linear0.2230.0041.80
    Quadratic0.2150.0041.80
    b0.319Linear0.3400.0216.58
    Quadratic0.3130.0061.88
    c0.499Linear0.5350.0367.21
    Quadratic0.5010.0020.40
    d0.323Linear0.3480.0257.74
    Quadratic0.3210.0030.93
    Table 1. Error analysis table for center displacement of 0.5 mm
    MeasuringpointMeasured valueDm /mmInterpolationmethodInversion valueDi /mmAbsolute errorΔ /mmRelative errorσ /%
    a0.441Linear0.4540.0132.95
    Quadratic0.4320.0092.04
    b0.645Linear0.6880.0436.67
    Quadratic0.6520.0071.08
    c1.000Linear1.0840.0848.40
    Quadratic1.0350.0343.40
    d0.648Linear0.6940.0467.10
    Quadratic0.6450.0030.46
    Table 2. Error analysis table for center displacement of 1.0 mm
    MeasuringpointMeasured valueDm /mmInterpolationmethodInversion valueDi /mmAbsolute errorΔ /mmRelative errorσ /%
    a0.647Linear0.6560.0091.39
    Quadratic0.6330.0142.16
    b0.952Linear1.0240.0727.56
    Quadratic0.9450.0070.74
    c1.499Linear1.6340.1359.01
    Quadratic1.5510.0513.40
    d0.957Linear1.0310.0747.73
    Quadratic0.9610.0040.42
    Table 3. Error analysis table for center displacement of 1.5 mm
    MeasuringpointMeasured valueDm /mmInterpolationmethodInversion valueDi /mmAbsolute errorΔ /mmRelative errorσ /%
    a0.879Linear0.8780.0010.11
    Quadratic0.8500.0293.30
    b1.279Linear1.3830.1048.13
    Quadratic1.2670.0120.94
    c2.006Linear2.2040.1989.87
    Quadratic2.0630.0572.84
    d1.284Linear1.3920.1088.41
    Quadratic1.2820.0020.16
    Table 4. Error analysis table for center displacement of 2.0 mm
    TableInterpolationmethodAverage absoluteerror Δ- /mmMean relativeerror σ- /%Root-mean-squareerror δ /mm
    1Linear0.0225.830.024
    Quadratic0.0041.250.005
    2Linear0.0496.280.053
    Quadratic0.0131.740.021
    3Linear0.0766.420.085
    Quadratic0.0201.760.034
    4Linear0.1036.550.124
    Quadratic0.0251.810.038
    Table 5. Table of mean error analysis under different center displacements
    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
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