Infrared and Laser Engineering, Volume. 51, Issue 12, 20220202(2022)

Remote sensing satellite structure in-orbit thermal strain Bragg fiber grating monitoring method

Haoran Wang1,2, Mingli Dong1,2, Guangkai Sun1,2, Yanlin He1,2, and Kangpeng Zhou1,3
Author Affiliations
  • 1Key Laboratory of the Ministry of Education for Optoelectronic Measurement Technology and Instrument, Beijing Information Science and Technology University, Beijing 100192, China
  • 2Beijing Laboratory of Optical Fiber Sensing and System, Beijing Information Science and Technology University, Beijing 100016, China
  • 3School of Precision Instrument & Opto-Electronics Engineering, Tianjin University, Tianjin 300072, China
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    Figures & Tables(24)
    FBG sensor network layout of remote sensing satellite active phased array antenna
    Finite element calculation process of thermal strain field of satellite antenna structure
    Characteristics of strain field distribution under uniform temperature load at 120 ℃
    Strain field variation curves under uniform temperature load
    FBG sensor temperature and strain monitoring system for high and low temperature environments. (a) Monitoring test system composition; (b) Physical photo of the monitoring test system: 1.PC 2.Strain gauges 3.FBG demodulator 4. Temperature test chamber
    Aluminum structural specimens. (a) Layout of structural specimen sensor; (b) Diagram of structure physical: 1.Resistance strain gauge 2.FBG strain sensor 3.FBG temperature sensor
    FBG temperature sensor center wavelength versus temperature. (a) Warming process; (b) Cooling process
    Thermal strain measurement of FBG strain transducer as a function of structure temperature. (a) FBG1; (b) FBG2; (c) FBG3
    Distribution characteristics of the temperature and strain fields of the satellite antenna under the temperature load of 100 ℃. (a) Distribution characteristics of the temperature field; (b) Distribution characteristics of the strain field
    Distribution characteristics of temperature and strain fields of satellite antenna under long time high temperature environment. (a) Distribution characteristics of temperature field; (b) Distribution characteristics of strain field
    Diagram of the independent variable of the change curve
    Temperature variation curve under different temperature loads
    Strain variation curve under different temperature loads
    Schematic diagram of measurement points and error evaluation points
    Satellite antenna thermal strain field fiber optic monitoring test system. (a) Thermal strain field monitoring test system composition; (b) Photos of the thermal strain field monitoring test system: 1. structural specimen 2.Strain gauges 3. Thermal loading device 4. Multi-channel pyrometer 5. FBG Demodulator 6.PC
    Satellite antenna under 100 °C temperature load. (a) Reconstructed temperature field; (b) Reconstructed strain field
    Comparison of measured and reconstructed values under 100 ℃ temperature load. (a) Comparison of temperature fields; (b) Comparison of strain fields
    • Table 1. Material parameters of finite element model of satellite antenna structure

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      Table 1. Material parameters of finite element model of satellite antenna structure

      Material parameter typeMaterial parameter value
      Density/g·cm−32.81
      Elastic modulus/GPa71.7
      Poisson's ratio0.25
      Thermal conductivity/W·m−1·K−1173
      Specific heat capacity/J·kg−1·K−1960
      Thermal expansion coefficient/℃−123.6×10−6
    • Table 2. FBG temperature sensor sensitivity and linearity

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      Table 2. FBG temperature sensor sensitivity and linearity

      Temperature SensorLoading methodTemperature sensitivity/pm·℃−1Linearity
      FBG4Heating10.210.993
      Cooling10.180.992
      FBG5Heating10.230.996
      Cooling10.250.991
      FBG6Heating10.190.995
      Cooling10.210.996
    • Table 3. FBG strain sensor maximum absolute error and average relative error

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      Table 3. FBG strain sensor maximum absolute error and average relative error

      Strain sensorsLoading methodMaximum absolute error/μεAverage relative error
      FBG1Heating68.62.38%
      Cooling52.92.26%
      FBG2Heating49.52.65%
      Cooling55.13.15%
      FBG3Heating64.71.95%
      Cooling73.32.28%
    • Table 4. Reconstruction error of temperature field and strain field at different temperatures

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      Table 4. Reconstruction error of temperature field and strain field at different temperatures

      Temperature/℃RMSE
      Temperature fieldStrain field
      300.67%1.06%
      400.81%1.35%
      500.99%1.45%
      601.15%1.56%
      701.31%1.69%
      801.49%1.86%
      901.55%1.92%
      1001.76%2.23%
      Average value1.22%1.64%
    • Table 5. Reconstruction errors between reconstructed strain field and theoretically calculated strain field at different temperatures

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      Table 5. Reconstruction errors between reconstructed strain field and theoretically calculated strain field at different temperatures

      Temperature/℃First cycleSecond cycleThird cycle
      Temperature fieldStrain fieldTemperature fieldStrain fieldTemperature fieldStrain field
      HeatingCoolingHeatingCoolingHeatingCoolingHeatingCoolingHeatingCoolingHeatingCooling
      301.05%1.09%2.16%2.21%1.08%1.16%2.12%2.18%1.06%1.12%2.18%2.15%
      401.34%1.39%2.55%2.57%1.37%1.31%2.51%2.61%1.26%1.34%2.65%2.58%
      501.75%1.72%3.02%3.06%1.79%1.85%3.06%3.12%1.82%1.86%3.13%3.15%
      602.15%2.19%3.49%3.52%2.21%2.26%3.45%3.55%2.19%2.12%3.53%3.59%
      702.47%2.45%3.95%3.82%2.52%2.47%3.85%3.82%2.54%2.46%3.92%3.84%
      802.75%2.65%4.39%4.35%2.82%2.75%4.36%4.45%2.85%2.79%4.47%4.39%
      903.21%3.37%4.85%4.82%3.35%3.19%4.91%4.92%3.26%3.23%4.86%4.89%
      1003.49%3.49%5.52%5.52%3.51%3.50%5.46%5.48%3.54%3.54%5.54%5.54%
      Average2.28%2.29%3.74%3.73%2.33%2.31%3.72%3.77%2.32%2.31%3.79%3.77%
    • Table 6. Reconstruction error between reconstructed strain field and real strain field at different temperatures

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      Table 6. Reconstruction error between reconstructed strain field and real strain field at different temperatures

      Temperature/℃First cycleSecond cycleThird cycle
      Temperature fieldStrain fieldTemperature fieldStrain fieldTemperature fieldStrain field
      HeatingCoolingHeatingCoolingHeatingCoolingHeatingCoolingHeatingCoolingHeatingCooling
      301.58%1.49%3.76%3.59%1.49%1.32%3.59%3.61%1.32%1.42%3.61%3.72%
      401.76%1.65%4.79%4.72%1.57%1.64%4.97%4.84%1.78%1.75%4.82%4.68%
      502.53%2.59%5.58%5.76%2.69%2.58%5.65%5.58%2.42%2.56%5.52%5.48%
      602.97%3.16%6.75%6.82%2.78%2.76%6.93%6.87%2.87%2.99%6.83%6.92%
      703.46%3.59%7.35%7.64%3.24%3.36%7.75%7.64%3.37%3.25%7.59%7.48%
      803.98%4.15%7.82%7.95%3.87%3.95%7.92%7.84%3.88%3.96%7.89%7.98%
      904.62%4.71%8.05%8.11%4.78%4.54%8.16%8.25%4.54%4.52%8.13%8.15%
      1005.48%5.49%8.42%8.43%5.12%5.12%8.38%8.36%5.43%5.42%8.32%8.35%
      Average3.30%3.35%6.57%6.63%3.19%3.16%6.67%6.62%3.20%3.23%6.59%6.60%
    • Table 7. Reconstruction errors of structural temperature and strain fields under thermodynamic coupling

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      Table 7. Reconstruction errors of structural temperature and strain fields under thermodynamic coupling

      Weight quality/g40 ℃ temperature load70 ℃ temperature load100 ℃ temperature load
      Temperature fieldStrain fieldTemperature fieldStrain fieldTemperature fieldStrain field
      Weight gainWeight lossWeight gainWeight lossWeight gainWeight lossWeight gainWeight lossWeight gainWeight lossWeight gainWeight loss
      01.82%1.76%4.65%4.68%3.48%3.62%7.28%7.16%5.35%5.48%8.34%8.35%
      2001.75%1.88%4.98%4.91%3.56%3.51%7.65%7.66%5.45%5.54%8.87%8.68%
      4001.79%1.94%5.34%5.24%3.51%3.48%8.05%8.12%5.47%5.48%9.35%9.18%
      6001.86%1.84%5.79%5.85%3.42%3.55%8.72%8.85%5.52%5.64%9.94%9.82%
      8001.95%1.82%6.12%6.24%3.35%3.52%9.25%9.22%5.46%5.62%10.26%10.14%
      10001.84%1.89%6.53%6.59%3.48%3.42%9.56%9.61%5.54%5.58%10.85%10.76%
      Average1.84%1.86%5.57%5.59%3.47%3.52%8.42%8.44%5.47%5.56%9.60%9.49%
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    Haoran Wang, Mingli Dong, Guangkai Sun, Yanlin He, Kangpeng Zhou. Remote sensing satellite structure in-orbit thermal strain Bragg fiber grating monitoring method[J]. Infrared and Laser Engineering, 2022, 51(12): 20220202

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    Paper Information

    Category: Optical communication and sensing

    Received: Mar. 21, 2022

    Accepted: --

    Published Online: Jan. 10, 2023

    The Author Email:

    DOI:10.3788/IRLA20220202

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