Optics and Precision Engineering, Volume. 33, Issue 10, 1584(2025)

Improvement of torque measurement accuracY in piezoelectric four-dimensional force sensors

Jun ZHANG, Peng ZHANG, Xuande TENG, Jiale CAI, Yuhe WANG, and Zongjin REN*
Author Affiliations
  • School of Mechanical Engineering, Dalian University of Technology, Dalian116000, China
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    Figures & Tables(18)
    Mechanical model of the piezoelectric four-point support force-measuring instrument
    Sensor arrangement
    Structure of four-directional force sensor and crystal deflection phenomenon
    Sensor assembly error
    Torque measurement error transmission path
    Error metrics of measurement methods
    Structural of the force-measuring instrument
    Force variation of the force-measuring instrument with span
    Plate deformation with thickness variation
    Calibration flowchart and experiment diagram
    Plate deformation with thickness variation
    Natural frequency of force sensor
    Arrangement of variable loading points
    Change measurement results of loading points
    Automatic image measuring system
    • Table 1. Result of system scale calibration

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      Table 1. Result of system scale calibration

      类别符号数量分布
      位置误差Δlij8N(0,6.67×10-52)
      传感器转角αi4N(0,0.005 82)
      晶组转角θij12N(0,0.002 92)
      灵敏度误差kij12N(1,0.012)
    • Table 2. Static performance metrics

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      Table 2. Static performance metrics

      测量方向向间干扰/%线性度/%重复性误差/%
      ZXYM
      Z0.17-0.780.09-0.16-0.34
      X0.442.70-0.810.060.03
      Y0.550.170.040.060.06
      MZ0.462.16-2.070.350.35
    • Table 3. Force sensor output voltage

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      Table 3. Force sensor output voltage

      加载点U1x+U2xU3x+U4xU1y+U4yU2y+U3yi=14Uim
      a110 043-10 25910 216-9 36628 291
      a29 657-10 38610 745-9 63428 676
      a39 584-10 38410 626-9 62628 533
      a49 522-10 18010 785-9 64828 484
      a510 196-10 1099 875-9 08027 841
      b110 134-10 1859 847-8 98327 764
      b210 281-10 2119 974-9 05728 044
      b310 115-10 11010 255-9 42928 298
      b410 032-10 19910 279-9 44428 335
      b510 322-10 46110 248-9 40228 673
      b610 335-10 2129 972-9 06628 066
      b710 290-10 05310 281-9 36028 365
      b89 818-10 10610 417-9 55828 294
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    Jun ZHANG, Peng ZHANG, Xuande TENG, Jiale CAI, Yuhe WANG, Zongjin REN. Improvement of torque measurement accuracY in piezoelectric four-dimensional force sensors[J]. Optics and Precision Engineering, 2025, 33(10): 1584

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    Paper Information

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    Received: Jan. 6, 2025

    Accepted: --

    Published Online: Jul. 23, 2025

    The Author Email:

    DOI:10.37188/OPE.20253310.1584

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