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Rationality optimization of tool path spacing based on dwell time calculation algorithm

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Abstract

With the aim to achieve the dwell time calculation and the optimization of tool path planning in optical figuring, an improved algorithm is proposed and experimentally validated. Firstly, the principle of the algorithm is introduced, of which tool path planning is added. After that, a two-part simulation is conducted. In the first part, the high convergence accuracy of the proposed algorithm is verified. And it also reveals that although the convergence accuracy of the algorithm without tool path planning is higher, the surface grid size changes with the tool path spacing (TPS) would affect the initial surface error and make the algorithm unpractical. In the second part, the optimization of tool path planning using the proposed algorithm is investigated, in terms of RMS, polishing time, and polishing track. The result reveals that the proposed algorithm can be used to find out the optimal TPS. Finally, polishing experiment is carried out, by using the optimal TPS obtained from the optimization process. Considering the instability of the removal functions in the polishing process and the gradient of the initial surface, the experimental result has shown an acceptable convergence ratio. Therefore, the accuracy and practicality of the presented algorithm are proven.

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References

  1. Walker D, Brooks D, King A, Freeman R, Morton R, McCavana G, Kim SW (2003) The “Precessions” tooling for polishing and figuring flat, spherical and aspheric surfaces. Opt Express 11(8):958–964

    Article  Google Scholar 

  2. Yu DP, Gan SW, Wong YS, Hong GS, Rahman M, Yao J (2013) Optimized tool path generation for fast tool servo diamond turning of micro-structured surfaces. Int J Adv Manuf Technol 69(1–4):237–244

    Google Scholar 

  3. Chen WQ, Liang YC, Sun YZ, Huo DH, Lu LH, Liu HT (2014) Design philosophy of an ultra-precision fly cutting machine tool for KDP crystal machining and its implementation on the structure design. Int J Adv Manuf Technol 70(1–4):429–438

    Article  Google Scholar 

  4. Beaucamp A, Namba Y (2013) Super-smooth finishing of diamond turned hard X-ray molding dies by combined fluid jet and bonnet polishing. CIRP Ann Manuf Technol 62(1):315–318

    Article  Google Scholar 

  5. Kong LB, Cheung CF, To S, Wang B, Ho LT (2014) A theoretical and experimental investigation of design and slow tool servo machining of freeform progressive addition lenses (PALs) for optometric applications. Int J Adv Manuf Technol 72(1–4):33–40

    Article  Google Scholar 

  6. Jones RA (1977) Optimization of computer controlled polishing. Appl Opt 16(1):218–224

    Article  Google Scholar 

  7. Jones RA (1983) Computer control for grinding and polishing. Photon Spectr 17(8):34–39

    Google Scholar 

  8. Fang H, Guo P, Yu J (2006) Dwell function algorithm in fluid jet polishing. Appl Opt 45(18):4291–4296

    Article  Google Scholar 

  9. Wang CJ, Yang W, Wang ZZ, Yang X, Hu CL, Zhong B, Guo YB, Xu Q (2014) Dwell-time algorithm for polishing large optics. Appl Opt 53(21):4752–4760

    Article  Google Scholar 

  10. Wilson SR, McNeil JR (1987) Neutral ion beam figuring of large optical surfaces. Proc SPIE 818:320–324

    Article  Google Scholar 

  11. Wilson SR, Reicher DW, McNeil JR (1988) Surface figuring using neutral ion beams. Proc SPIE 966:74–81

    Article  Google Scholar 

  12. Zhou L (2008) Study on theory and technology in ion beam figuring for optical surfaces. Ph.D. dissertation of National University of Defense Technology (in Chinese)

  13. Zhou L, Dai YF, Xie XH, Li SY (2010) Optimum removal in ion-beam figuring. Precis Eng 34(3):474–479

    Article  Google Scholar 

  14. Dong ZC, Cheng HB, Tam HY (2014) Modified dwell time optimization model and its applications in sub-aperture polishing. Appl Opt 53(15):3213–3224

    Article  Google Scholar 

  15. Cheng HB (2014) Independent variables for optical surfacing systems. Springer-Verlag, Berlin

    Book  Google Scholar 

  16. Pan R, Zhang YJ, Ding JB, Wang ZZ, Guo YB (2014) Research on optimization of conformal polishing using continuous precession. Int J Adv Manuf Technol 78(1–4):63–71

    Google Scholar 

  17. Pan R, Wang ZZ, Jiang T, Guo YB, Wang ZS (2014) A novel method for aspheric lens polishing based on abrasives trajectories analysis on contact region. J Eng Manuf. doi:10.1177/0954405414527956

    Google Scholar 

  18. Wang CJ, Yang W, Wang ZZ, Yang X, Sun ZJ, Zhong B, Pan R, Yang P, Guo YB, Xu Q (2014) Highly efficient deterministic polishing using a semirigid bonnet. Opt Eng. doi:10.1117/1.OE.53.9.095102

    Google Scholar 

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Authors and Affiliations

  1. Department of Mechanical & Electrical Engineering, Beijing University of Chemical Technology, Beijing, China

    Ri Pan, Yajun Zhang, Jianbiao Ding & Cong Cao

  2. Department of Mechanical and Electrical Engineering, Xiamen University, Xiamen, China

    Zhenzhong Wang, Tao Jiang & Yunfeng Peng

Authors
  1. Ri Pan
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  2. Yajun Zhang
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  3. Jianbiao Ding
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  4. Cong Cao
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  5. Zhenzhong Wang
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  6. Tao Jiang
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  7. Yunfeng Peng
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Correspondence to Ri Pan.

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Pan, R., Zhang, Y., Ding, J. et al. Rationality optimization of tool path spacing based on dwell time calculation algorithm. Int J Adv Manuf Technol 84, 2055–2065 (2016). https://doi.org/10.1007/s00170-015-7838-z

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  • DOI: https://doi.org/10.1007/s00170-015-7838-z

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