Author Affiliations
1School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200444, China2National Laboratory on High Power Laser and Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China3National Laboratory on High Power Laser and Physics, China Academy of Engineering Physics, Chinese Academy of Sciences, Shanghai 201800, Chinashow less
Fig. 1. Motion diagram of eccentric dual-rotor
Fig. 2. Motion analysis of eccentric dual-rotor
Fig. 3. Cross-section fitting diagram of parameter matrix
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
Fig. 5. Parameters diagram with R2>0.995
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
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
Fig. 8. Simulation diagram of direction removal characteristic. (a) Removal function of dual-rotor motion; (b) removal function of eccentric dual-rotor motion
Fig. 9. Five-link-double-swing polishing system
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
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
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
Fig. 13. Overlay error curves under different grating intervals
Fig. 14. Partially enlarged interferograms 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
Fig. 16. PSD analysis diagrams of workpieces 2 and 3. (a) Workpiece 2, dual rotor motion; (b) workpiece 3, eccentric dual-rotor motion
Parameter | Value |
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Dual-rotor | Eccentric dual-rotor |
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r1/mm | 6 | 6 | e /mm | 4.8 | 6.12 | e1 /mm | 0 | 3 | ω2 / | -204 | -204 | ω1 / | 300 | 300 | n | -0.68 | -0.68 | M | - | 42 |
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Table 1. Removal function parameters in the simulation of direction removal characteristic
Normalized radius | Directional removal characteristic |
---|
Dual-rotor | Eccentric dual-rotor |
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0.1 | 1.9720 | 4.9413 | 0.3 | 0.5940 | 9.1365 | 0.5 | 6.4703 | 9.4033 | 0.7 | 0.1772 | 2.1994 | 0.9 | 1.7951 | 0.2448 |
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Table 2. Simulated direction removal characteristic of removal function
Parameter | Value |
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Dual-rotor motion | Eccentric dual-rotor motion |
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r1/mm | 6 | 6 | 6 | 6 | 6 | e /mm | 4.8 | 2.76 | 3.24 | 5.91 | 6.12 | e1/mm | 0 | 3 | 3 | 3 | 3 | n | -0.68 | -23/75 | -0.36 | -197/300 | -0.68 | ω1/(r·min-1) | 300 | 300 | 300 | 300 | 300 | M | - | 98 | 34 | 497 | 42 | R2(simulation value) | 0.9511 | 0.9957 | 0.9978 | 0.9986 | 0.9983 | Time /min | 10 | 10 | 10 | 10 | 10 | R2(measurementvalue) | 0.9774 | 0.9887 | 0.9895 | 0.9843 | 0.9816 |
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Table 3. Removal function parameters of fixed-point polishing experiment