• Acta Optica Sinica
  • Vol. 42, Issue 7, 0706004 (2022)
Xinkui Xing1、2、3, Kabin Kuang1、2、3, and Heying Qin1、2、3、*
Author Affiliations
  • 1School of Civil and Architectural Engineering, Guilin University of Technology, Guilin, Guangxi 541004, China
  • 2Collaborative Innovation Center for Exploration of Hidden Nonferrous Metal Deposits and Development of New Materials in Guangxi, Guilin University of Technology, Guilin, Guangxi 541004, China
  • 3Guangxi Key Laboratory of Geomechanics and Geotechnical Engineering, Guilin, Guangxi 541004, China
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    DOI: 10.3788/AOS202242.0706004 Cite this Article Set citation alerts
    Xinkui Xing, Kabin Kuang, Heying Qin. Novel Fiber Bragg Grating Tilt Sensor with High Sensitivity[J]. Acta Optica Sinica, 2022, 42(7): 0706004 Copy Citation Text show less
    Structural diagram of fiber Bragg grating tilt sensor
    Fig. 1. Structural diagram of fiber Bragg grating tilt sensor
    Force analysis diagram of fiber Bragg grating tilt sensor. (a) Force state of sensor when it is horizontal; (b) force state of sensor when tilt angle is θ
    Fig. 2. Force analysis diagram of fiber Bragg grating tilt sensor. (a) Force state of sensor when it is horizontal; (b) force state of sensor when tilt angle is θ
    Sensor calibration experiment. (a) Physical image of fiber Bragg grating tilt sensor; (b) experimental installations
    Fig. 3. Sensor calibration experiment. (a) Physical image of fiber Bragg grating tilt sensor; (b) experimental installations
    Theoretical analysis and experimental comparison of fiber Bragg grating tilt sensor
    Fig. 4. Theoretical analysis and experimental comparison of fiber Bragg grating tilt sensor
    Performance test of sensor with tilt angle of 7°
    Fig. 5. Performance test of sensor with tilt angle of 7°
    Fitting curve of positive stroke repeatability test of fiber Bragg grating tilt sensor
    Fig. 6. Fitting curve of positive stroke repeatability test of fiber Bragg grating tilt sensor
    Fitting curve of reverse stroke repeatability test of fiber Bragg grating tilt sensor
    Fig. 7. Fitting curve of reverse stroke repeatability test of fiber Bragg grating tilt sensor
    Measurement error analysis of fiber Bragg grating tilt sensor
    Fig. 8. Measurement error analysis of fiber Bragg grating tilt sensor
    Temperature test results. (a) Central wavelengths of FBG1 and FBG2 varying with temperature in horizontal condition; (b) central wavelengths of FBG1 and FBG2 varying with temperature at tilt angle of 1°
    Fig. 9. Temperature test results. (a) Central wavelengths of FBG1 and FBG2 varying with temperature in horizontal condition; (b) central wavelengths of FBG1 and FBG2 varying with temperature at tilt angle of 1°
    Sensor performance test with out-of-plane tilt
    Fig. 10. Sensor performance test with out-of-plane tilt
    L /mmm /kgS1 /[pm·(°)-1]ε/10-4
    0.252377.327.796
    65.00.286427.418.831
    0.320477.309.862
    0.354527.0010.888
    0.212330.246.823
    67.50.240373.237.711
    0.269417.628.629
    0.297460.339.511
    0.172278.405.752
    70.00.195315.196.512
    0.218351.877.270
    0.240386.867.993
    Table 1. Sensitivity of sensor under different size parameters and strain value at full scale (l=10 mm, a=16 mm)
    Dimension parameterValue
    L /mm65
    l /mm10
    a /mm16.3
    m /kg0.263
    E /GPa72
    S /mm20.0123
    Table 2. Dimensional parameters of sensor
    Test experiment No.Sensitivity of positive stroke /[pm·(°)-1]Sensitivity of reverse stroke /[pm·(°)-1]
    1357.84357.34
    2360.86359.65
    3360.15358.40
    Table 3. Sensitivity of fiber Bragg grating tilt sensor
    Angle /(°)Arithmetic mean value /nmFitted value /nmAbsolute deviation /nm
    -5.0-1.8104-1.79400.0163
    -4.5-1.6439-1.61450.0294
    -4.0-1.4543-1.43500.0193
    -3.5-1.2757-1.25550.0202
    -3.0-1.0943-1.07600.0183
    -2.5-0.9058-0.89650.0093
    -2.0-0.7269-0.71700.0099
    -1.5-0.5374-0.53750.0002
    -1.0-0.3512-0.35800.0068
    -0.5-0.1575-0.17850.0211
    0-0.00600.00100.0070
    0.50.16150.18050.0190
    1.00.34200.36000.0180
    1.50.51570.53950.0238
    2.00.70040.71900.0186
    2.50.89800.89850.0005
    3.01.08441.07800.0065
    3.51.25141.25750.0061
    4.01.42001.43700.0170
    4.51.58381.61650.0327
    5.01.77281.79600.0232
    Table 4. Linearity error calculation of fiber Bragg grating tilt sensor
    Angle /(°)Hmax| in first set of experiments /nmHmax| in second set of experiments /nmHmax| in third set of experiments /nm
    -5.00.00730.01450.0198
    -4.50.01590.01140.0008
    -4.00.00150.00540.0135
    -3.50.00010.00490.0150
    -3.00.02380.03560.0087
    -2.50.02370.04330.0449
    -2.00.03060.03130.0451
    -1.50.03240.04350.0247
    -1.00.04730.04140.0216
    -0.50.04580.01340.0269
    00.00870.03780.0024
    0.50.03010.04880.0372
    1.00.04580.02370.0192
    1.50.04210.04600.0108
    2.00.04260.04550.0210
    2.50.04660.04650.0442
    3.00.03860.04490.0468
    3.50.03000.02920.0421
    4.00.01820.00870.0095
    4.50.01900.01890.0165
    5.0000
    Table 5. Absolute value of maximum difference between positive and reverse stroke outputs in repeatability experiment
    Angle /(°)Standard deviation of positive stroke wavelength /nmStandard deviation of reverse stroke wavelength /nm
    -5.00.03500.0410
    -4.50.01330.0083
    -4.00.00930.0009
    -3.50.00610.0067
    -3.00.00120.0131
    -2.50.01580.0059
    -2.00.00480.0103
    -1.50.01530.0024
    -1.00.00690.0044
    -0.50.01270.0036
    00.01640.0059
    0.50.00430.0091
    1.00.01380.0041
    1.50.01300.0090
    2.00.01450.0020
    2.50.01040.0026
    3.00.01950.0044
    3.50.00910.0078
    4.00.00510.0088
    4.50.00970.0163
    5.00.00590.0059
    Table 6. Calculation results of standard deviation of positive and reverse stroke
    Type of tilt sensorMeasuring range /(°)Sensitivity /[nm·(°)-1]Distinguishability /(°)Linear goodness of fitting
    Long period fiber grating tilt sensor-30--300.0770.2600.997
    Tapered phase shift fiber grating optical inclinometer30--900.0230.4300.995
    Mach-Zehnder interferometer inclinometer based on long period fiber grating and offset splices-3--30.9350.978
    Proposed sensor-5--50.3590.0030.999
    Table 7. Comparative analysis of comprehensive performance of tilt sensor
    Xinkui Xing, Kabin Kuang, Heying Qin. Novel Fiber Bragg Grating Tilt Sensor with High Sensitivity[J]. Acta Optica Sinica, 2022, 42(7): 0706004
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