• Optics and Precision Engineering
  • Vol. 31, Issue 16, 2372 (2023)
Zhiyong YU, Zhaoyao SHI*, Huiming CHENG, Bo YU, and Lintao ZHANG
Author Affiliations
  • Beijing Engineering Research Center of Precision Measurement Technology and Instruments, Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing100124, China
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    DOI: 10.37188/OPE.20233116.2372 Cite this Article
    Zhiyong YU, Zhaoyao SHI, Huiming CHENG, Bo YU, Lintao ZHANG. Accuracy characteristic of test bench of lost motion of precision reducer[J]. Optics and Precision Engineering, 2023, 31(16): 2372 Copy Citation Text show less
    Structure of test bench of lost motion
    Fig. 1. Structure of test bench of lost motion
    Hysteresis curve
    Fig. 2. Hysteresis curve
    Function mechanism of angle error caused by torque error
    Fig. 3. Function mechanism of angle error caused by torque error
    Local linearization of hysteresis curve
    Fig. 4. Local linearization of hysteresis curve
    Transient process under gradient loading
    Fig. 5. Transient process under gradient loading
    Key data points on the hysteresis curve
    Fig. 6. Key data points on the hysteresis curve
    Schematic diagram of key data points obtained by interpolation
    Fig. 7. Schematic diagram of key data points obtained by interpolation
    Comprehensive performance test bench for precision reducer
    Fig. 8. Comprehensive performance test bench for precision reducer
    Test result of friction torque of torque measuring chain
    Fig. 9. Test result of friction torque of torque measuring chain
    Finite element analysis of output shaft
    Fig. 10. Finite element analysis of output shaft
    Key components in comparative experiment
    Fig. 11. Key components in comparative experiment
    Relationship between experimental value of elastic torsion angle φe and torque T
    Fig. 12. Relationship between experimental value of elastic torsion angle φe and torque T
    Hysteresis curve and key data points measured by experiment
    Fig. 13. Hysteresis curve and key data points measured by experiment
    Distribution of lost motion within one revolution of output terminal of precision reducer
    Fig. 14. Distribution of lost motion within one revolution of output terminal of precision reducer
    Name of data pointsCoordinate value
    A[TA±Δ(TA), θA±Δ(θA)]
    B[TB±Δ(TB), θB±Δ(θB)]
    C[TC±Δ(TC), θC±Δ(θC)]
    D[TD±Δ(TD), θD±Δ(θD)]
    E[TE±Δ(TE), θE±Δ(θE)]
    F[TF±Δ(TF), θF±Δ(θF)]
    Table 1. Coordinate value of key data points

    Rated torque

    Tr/(Nm)

    Maximum value of geometric lost motion θg/(' )
    3921
    Table 2. Specification parameters of test piece

    Test piece

    interface name

    Clamping

    requirement

    Actual clamping

    accuracy

    Input terminalCoaxiality <30 μm

    Coaxiality

    <5 μm

    Output terminalCoaxiality <20 μm

    Coaxiality

    <5 μm

    Table 3. Clamping requirements and actual clamping accuracy of test piece
    Sensor type

    Installation

    requirements

    Measurement uncertainty
    Torque sensorCoaxiality<50 μm±2 N·m
    Circular grating sensorCoaxiality<5 μm±1ʺ
    Table 4. Sensor installation requirements and Measurement uncertainty
    Serial number123456
    Tf/(Nm)0.680.630.460.540.510.57
    Table 5. Results of 6 repeated test of friction torque
    Name of data pointsCoordinate value
    O1[11.76, 0.11±0.03]
    O2[-11.76, -0.16±0.03]
    B[392±3.3, 1.40±0.02]
    E[-392±3.3, -1.35±0.03]
    Table 6. Data points directly used for lost motion calculation
    Geometric lost motion δg

    Elastic lost

    motion δe

    Total lost motion

    δ

    0.27±0.042.55±0.062.75±0.04
    Table 7. Test result and test error of lost motion
    Maximum value δs-maxMean value δ¯sStandard deviation σs
    Geometric lost motion0.470.290.09
    Elastic lost motion2.502.370.17
    Total lost motion2.972.660.20
    Table 8. Evaluation index of test result of lost motion
    Zhiyong YU, Zhaoyao SHI, Huiming CHENG, Bo YU, Lintao ZHANG. Accuracy characteristic of test bench of lost motion of precision reducer[J]. Optics and Precision Engineering, 2023, 31(16): 2372
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