• Chinese Journal of Lasers
  • Vol. 48, Issue 24, 2404002 (2021)
Ziming Dong1、2、3、*, Yanan Zhang1, Zhigang Liu2、3、**, Xiang Jiao2、3, Jianqiang Zhu2、3, Wenhui Cui2、3, and Weiheng Lin2、3
Author Affiliations
  • 1School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200444, China
  • 2National Laboratory on High Power Laser and Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
  • 3National Laboratory on High Power Laser and Physics, China Academy of Engineering Physics, Chinese Academy of Sciences, Shanghai 201800, China
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    DOI: 10.3788/CJL202148.2404002 Cite this Article Set citation alerts
    Ziming Dong, Yanan Zhang, Zhigang Liu, Xiang Jiao, Jianqiang Zhu, Wenhui Cui, Weiheng Lin. Eccentric Dual-Rotor Polishing and the Suppression of Mid-Spatial-Frequency Error: Technological Study[J]. Chinese Journal of Lasers, 2021, 48(24): 2404002 Copy Citation Text show less
    Motion diagram of eccentric dual-rotor
    Fig. 1. Motion diagram of eccentric dual-rotor
    Motion analysis of eccentric dual-rotor
    Fig. 2. Motion analysis of eccentric dual-rotor
    Cross-section fitting diagram of parameter matrix
    Fig. 3. Cross-section fitting diagram of parameter matrix
    Shapes of removal function when R2e1=5/6, e=4/3, R2=0.9875; (b) central inferior concave, e1=0.5, e=4/3, R2=0.9551; (c) Gaussian-like, e1=0.3, e=5/12, R2=0.9931; (b) flat top, e1=11/12, e=1/3, R2=0.9859
    Fig. 4. Shapes of removal function when R2<0.995. (a) Layering, e1=5/6, e=4/3, R2=0.9875; (b) central inferior concave, e1=0.5, e=4/3, R2=0.9551; (c) Gaussian-like, e1=0.3, e=5/12, R2=0.9931; (b) flat top, e1=11/12, e=1/3, R2=0.9859
    Parameters diagram with R2>0.995
    Fig. 5. Parameters diagram with R2>0.995
    Fitting result and trajectory diagram when n=-1/3 (e1=0.5, e=0.5, R2=0.9939). (a) Fitting result; (b) trajectory diagram
    Fig. 6. Fitting result and trajectory diagram when n=-1/3 (e1=0.5, e=0.5, R2=0.9939). (a) Fitting result; (b) trajectory diagram
    Fitting result and trajectory diagram when n=-4/5 (e1=0.25, e=1, R2=0.9959). (a) Fitting result; (b) trajectory diagram
    Fig. 7. Fitting result and trajectory diagram when n=-4/5 (e1=0.25, e=1, R2=0.9959). (a) Fitting result; (b) trajectory diagram
    Simulation diagram of direction removal characteristic. (a) Removal function of dual-rotor motion; (b) removal function of eccentric dual-rotor motion
    Fig. 8. Simulation diagram of direction removal characteristic. (a) Removal function of dual-rotor motion; (b) removal function of eccentric dual-rotor motion
    Five-link-double-swing polishing system
    Fig. 9. Five-link-double-swing polishing system
    Dual-rotor removal function interferogram and fitting results. (a) Interferogram; (b) shape of removal function on Metropro software; (c) three-dimensional model; (d) fitting result
    Fig. 10. Dual-rotor removal function interferogram and fitting results. (a) Interferogram; (b) shape of removal function on Metropro software; (c) three-dimensional model; (d) fitting result
    Surface shape interferograms of eccentric dual-rotor removal function and shapes of corresponding removal function. (a) e=2.76; (b) e=3.24; (c) e=5.91; (d) e=6.12
    Fig. 11. Surface shape interferograms of eccentric dual-rotor removal function and shapes of corresponding removal function. (a) e=2.76; (b) e=3.24; (c) e=5.91; (d) e=6.12
    Normalized eccentric dual-rotor removal function and normalized cross-section Gaussian fitting diagrams. (a) e=2.76; (b) e=3.24; (c) e=5.91; (d) e=6.12
    Fig. 12. Normalized eccentric dual-rotor removal function and normalized cross-section Gaussian fitting diagrams. (a) e=2.76; (b) e=3.24; (c) e=5.91; (d) e=6.12
    Overlay error curves under different grating intervals
    Fig. 13. Overlay error curves under different grating intervals
    Partially enlarged interferograms of workpieces 2 and 3. (a) Workpiece 2, dual rotor motion; (b) workpiece 3, eccentric dual-rotor motion
    Fig. 14. Partially enlarged interferograms of workpieces 2 and 3. (a) Workpiece 2, dual rotor motion; (b) workpiece 3, eccentric dual-rotor motion
    Local surface curves of workpieces 2 and 3. (a) Workpiece 2, dual rotor motion; (b) workpiece 3, eccentric dual-rotor motion
    Fig. 15. Local surface curves of workpieces 2 and 3. (a) Workpiece 2, dual rotor motion; (b) workpiece 3, eccentric dual-rotor motion
    PSD analysis diagrams of workpieces 2 and 3. (a) Workpiece 2, dual rotor motion; (b) workpiece 3, eccentric dual-rotor motion
    Fig. 16. PSD analysis diagrams of workpieces 2 and 3. (a) Workpiece 2, dual rotor motion; (b) workpiece 3, eccentric dual-rotor motion
    ParameterValue
    Dual-rotorEccentric dual-rotor
    r1/mm66
    e /mm4.86.12
    e1 /mm03
    ω2 /r·min-1-204-204
    ω1 /r·min-1300300
    n-0.68-0.68
    M-42
    Table 1. Removal function parameters in the simulation of direction removal characteristic
    Normalized radiusDirectional removal characteristic
    Dual-rotorEccentric dual-rotor
    0.11.97204.9413
    0.30.59409.1365
    0.56.47039.4033
    0.70.17722.1994
    0.91.79510.2448
    Table 2. Simulated direction removal characteristic of removal function
    ParameterValue
    Dual-rotor motionEccentric dual-rotor motion
    r1/mm66666
    e /mm4.82.763.245.916.12
    e1/mm03333
    n-0.68-23/75-0.36-197/300-0.68
    ω1/(r·min-1)300300300300300
    M-983449742
    R2(simulation value)0.95110.99570.99780.99860.9983
    Time /min1010101010
    R2(measurementvalue)0.97740.98870.98950.98430.9816
    Table 3. Removal function parameters of fixed-point polishing experiment
    Ziming Dong, Yanan Zhang, Zhigang Liu, Xiang Jiao, Jianqiang Zhu, Wenhui Cui, Weiheng Lin. Eccentric Dual-Rotor Polishing and the Suppression of Mid-Spatial-Frequency Error: Technological Study[J]. Chinese Journal of Lasers, 2021, 48(24): 2404002
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