Abstract
For the purpose of optimizing the polishing process of ultra-precision optics, the optimal motion for bonnet tool used in conformal polishing (CP) is investigated. Firstly, the removal mechanism in CP was studied and analyzed, based on which the conformal polishing conditions (CPC) and the conclusion that sub-steps precession (S-s-P) is the optimal motion were obtained; After that, corresponding simulations and experiments were conducted, and the results revealed that (1) the ability for CP of continuous precession (Con-P) was not stable, and only when the round distance S and the total polishing length are sufficiently tiny and large, meanwhile, S / vfx = 2*π/ωA is satisfied, the conformal polishing performance of Con-P is good. However, these requirements would limit its application in engineering; (2) Both the incline polishing (IP) and S-s-P models have good performance on CP, and their abilities for CP were not affected by the feeding speed. However, since the texture of the polished area of IP is not so good as S-s-P, the later is the most favourite model in CP. All the results have proven the correctness of the CPC and the theoretical conclusion, which is useful for the engineering application of S-s-P model of bonnet tool.
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Abbreviations
- ω A :
-
the rotational angular velocity of A-axis
- ω H :
-
the rotational angular velocity of H-axis
- ρ :
-
precession angle
- P m :
-
the maximum removal of the removal function
- O :
-
the ordinate origin
- t :
-
rotational time
- vfx :
-
the feeding speed
- θ A :
-
the rotation angle of A-axis in rotational time t
- l OPm :
-
the position vector of P m in the coordinate O-xyz
- d s :
-
the distance from Pm to the ordinate origin O
- S :
-
round distance
- L :
-
the polishing length
- M :
-
the material removal amount
- k :
-
the Preston coefficient
- P :
-
the instantaneous polishing pressure
- v :
-
the instantaneous polishing velocity
- dt :
-
the dwell time
- n 1 :
-
the rotational speed of A-axis
- n 2 :
-
the rotational speed of H-axis
- R c :
-
the radius of the RF
- t p :
-
the polishing time
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Pan, R., Zhang, Y., Ding, J. et al. Optimization strategy on conformal polishing of precision optics using bonnet tool. Int. J. Precis. Eng. Manuf. 17, 271–280 (2016). https://doi.org/10.1007/s12541-016-0035-7
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DOI: https://doi.org/10.1007/s12541-016-0035-7