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Experimental and analytical study of ultrasonic elliptical vibration cutting of micro-pyramid reflective mold based on guided wave transmission

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Abstract

The ultrasonic elliptical vibration cutting (UEVC) technique has been found to be a promising technique for ultra-precision machining of microstructural functional surfaces. However, the current UEVC technique can not achieve higher frequency ultrasonic cutting due to its rigid orthogonal vibration transmission. To further study the characteristics in high-frequency UEVC of microstructural surface, the UEVC based on flexible guided wave transmission is proposed which can achieve 96.8 kHz. The influence of bending vibration of guided wave band on longitudinal vibration is elaborated with the model of the bending vibration dynamic model of the guided wave. The model of elliptical trajectory deflection of tool tip is established. Based on the theoretical modeling and finite element simulation, the residual height and material removal characteristics of elliptic trajectory with variable deflection angle are simulated and analyzed. The results show that when the deflection angle is between 10 and 70, the tangential force is small and stable. Finally, the cutting experiments of micro-pyramid reflective mold in guided wave UEVC and conventional cutting (CC) are carried out. Compared with CC, high-frequency UEVC can obtain micro-pyramid elements with average roughness of 5.21 nm, which verifies the applicability of high-frequency UEVC in precision machining of microstructure.

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References

  1. Fashina A, Adama K, Oyewole O, Anye V, Asare J, Zebaze Kana M, Soboyejo W (2015) Surface texture and optical properties of crystalline silicon substrates. J Renew Sustain Energ 7(6):063119. https://doi.org/10.1063/1.4937117

    Article  Google Scholar 

  2. Wang ZW, Chen MW, Wu JW, Zheng HH, Zheng XF (2010) A review of surface texture of tribological interfaces. In: Advances in engineering design and optimization, trans tech publ, applied mechanics and materials. https://doi.org/10.4028/www.scientific.net/AMM.37-38.41, vol 37, pp 41–45

  3. Dana KJ, Van Ginneken B, Nayar SK, Koenderink JJ (1999) Reflectance and texture of real-world surfaces. ACM Trans Graphics (TOG) 18(1):1–34. https://doi.org/10.1145/300776.300778

    Article  Google Scholar 

  4. Wang J, Liao WH, Guo P (2020) Modulated ultrasonic elliptical vibration cutting for ductile-regime texturing of brittle materials with 2-d combined resonant and non-resonant vibrations. Int J Mech Sci 170:105347. https://doi.org/10.1016/j.ijmecsci.2019.105347

    Article  Google Scholar 

  5. Arslan A, Masjuki H, Kalam M, Varman M, Mufti R, Mosarof M, Khuong L, Quazi M (2016) Surface texture manufacturing techniques and tribological effect of surface texturing on cutting tool performance: a review. Crit Rev Solid State Mater Sci 41(6):447–481. https://doi.org/10.1080/10408436.2016.1186597

    Article  Google Scholar 

  6. De Felicis D, Mughal MZ, Bemporad E (2017) A method to improve the quality of 2.5 dimensional micro-and nano-structures produced by focused ion beam machining. Micron 101:8–15. https://doi.org/10.1016/j.micron.2017.05.005

    Article  Google Scholar 

  7. Shamoto E, Moriwaki T (1994) Study on elliptical vibration cutting. CIRP Ann 43(1):35–38. https://doi.org/10.1016/S0007-8506(07)62158-1

    Article  Google Scholar 

  8. Moriwaki T, Shamoto E (1995) Ultrasonic elliptical vibration cutting. CIRP Ann 44(1):31–34. https://doi.org/10.1016/S0007-8506(07)62269-0

    Article  Google Scholar 

  9. Shamoto E, Moriwaki T (1999) Ultaprecision diamond cutting of hardened steel by applying elliptical vibration cutting. CIRP Ann 48(1):441–444. https://doi.org/10.1016/S0007-8506(07)63222-3

    Article  Google Scholar 

  10. Suzuki N, Haritani M, Jb Yang, Hino R, Shamoto E (2007) Elliptical vibration cutting of tungsten alloy molds for optical glass parts. CIRP Ann 56(1):127–130. https://doi.org/10.1016/j.cirp.2007.05.032

    Article  Google Scholar 

  11. Kim GD, Loh BG (2010) Machining of micro-channels and pyramid patterns using elliptical vibration cutting. Int J Adv Manuf Technol 49(9):961–968. https://doi.org/10.1007/s00170-009-2451-7

    Article  Google Scholar 

  12. Guo P, Ehmann KF (2013) Development of a tertiary motion generator for elliptical vibration texturing. Precis Eng 37(2):364–371. https://doi.org/10.1016/j.precisioneng.2012.10.005

    Article  Google Scholar 

  13. Ma C, Shamoto E, Moriwaki T, Wang L (2004) Study of machining accuracy in ultrasonic elliptical vibration cutting. Int J Mach Tools Manuf 44(12-13):1305–1310. https://doi.org/10.1016/j.ijmachtools.2004.04.014

    Article  Google Scholar 

  14. Nath C, Zhang X, Senthil A, Rahman M (2014) 11.17 - Ultrasonic vibration cutting: Part ii: Ductile cutting and analytical force models for the elliptical vibration cutting process. In: Hashmi S, Batalha GF, Van Tyne CJ, Yilbas B (eds) Comprehensive materials processing. https://doi.org/10.1016/B978-0-08-096532-1.01328-5. Elsevier, Oxford, pp 455–481

  15. Zhou M, Eow Y, Ngoi B, Lim E (2003) Vibration-assisted precision machining of steel with pcd tools. Mater Manuf Process 18(5):825–834. https://doi.org/10.1081/AMP-120024978

    Article  Google Scholar 

  16. Saito H, Jung H, Shamoto E (2016) Elliptical vibration cutting of hardened die steel with coated carbide tools. Precis Eng 45:44–54. https://doi.org/10.1016/j.precisioneng.2016.01.004

    Article  Google Scholar 

  17. Zhang X, Kumar AS, Rahman M, Nath C, Liu K (2011) Experimental study on ultrasonic elliptical vibration cutting of hardened steel using pcd tools. J Mater Process Technol 211(11):1701–1709. https://doi.org/10.1016/j.jmatprotec.2011.05.015

    Article  Google Scholar 

  18. Zhang X, Kumar AS, Rahman M, Nath C, Liu K (2012) An analytical force model for orthogonal elliptical vibration cutting technique. J Manuf Process 14 (3):378–387. https://doi.org/10.1016/j.jmapro.2012.05.006

    Article  Google Scholar 

  19. Jiang X, Zhang X, Zhu X, Sui H, Zhang D (2017) Study of phase shift control in high-speed ultrasonic vibration cutting. IEEE Trans Ind Electron 65(3):2467–2474. https://doi.org/10.1109/TIE.2017.2740827

    Article  Google Scholar 

  20. Kim GD, Loh BG (2007) Characteristics of elliptical vibration cutting in micro-v grooving with variations in the elliptical cutting locus and excitation frequency. J Micromechan Microeng 18(2):025002. https://doi.org/10.1088/0960-1317/18/2/025002

    Article  Google Scholar 

  21. Kim GD, Loh BG (2007) Characteristics of chip formation in micro v-grooving using elliptical vibration cutting. J Micromechan Microeng 17(8):1458. https://doi.org/10.1088/0960-1317/17/8/007

    Article  Google Scholar 

  22. Kim GD, Loh BG (2011) Direct machining of micro patterns on nickel alloy and mold steel by vibration assisted cutting. Int J Precis Eng Manuf 12(4):583–588. https://doi.org/10.1007/s12541-011-0075-y

    Article  Google Scholar 

  23. Lin J, Guan L, Lu M, Han J, Kan Y (2017) Modeling and analysis of the chip formation and transient cutting force during elliptical vibration cutting process. AIP Adv 7(12):125101. https://doi.org/10.1063/1.5006303

    Article  Google Scholar 

  24. Zhang X, Kumar AS, Rahman M (2012) Effects of cutting and vibration parameters on transient cutting force in elliptical vibration cutting. In: International conference on intelligent robotics, automation, and manufacturing. https://doi.org/10.1007/978-3-642-35197-6_54. Springer, pp 483–490

  25. Jieqiong L, Jinguo H, Xiaoqin Z, Zhaopeng H, Mingming L (2016) Study on predictive model of cutting force and geometry parameters for oblique elliptical vibration cutting. Int J Mech Sci 117:43–52. https://doi.org/10.1016/j.ijmecsci.2016.08.004

    Article  Google Scholar 

  26. Suzuki N, Yokoi H, Shamoto E (2011) Micro/nano sculpturing of hardened steel by controlling vibration amplitude in elliptical vibration cutting. Precis Eng 35(1):44–50. https://doi.org/10.1016/j.precisioneng.2010.09.006

    Article  Google Scholar 

  27. Zhang J, Suzuki N, Wang Y, Shamoto E (2017) Influence of clearance angle on micro/nano structure fabrication in elliptical vibration cutting of hardened steel. Int J Nanomanuf 13(4):351–361. https://doi.org/10.1504/IJNM.2017.087536

    Article  Google Scholar 

  28. Kim GD, Loh BG (2013) Cutting force variation with respect to tilt angle of trajectory in elliptical vibration v-grooving. Int J Precis Eng Manuf 14(10):1861–1864. https://doi.org/10.1007/s12541-013-0249-x

    Article  Google Scholar 

  29. Jiang Y, Pi J, Zhang Y, Jiang T, Yang G, Shen Z (2020) Research on the tool tip trajectory deflection control and cutting characteristics of elliptical vibration cutting based on guided wave transmission. Int J Adv Manuf Technol 108(9):3101–3117. https://doi.org/10.1007/s00170-020-05552-y

    Article  Google Scholar 

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Acknowledgements

The authors would like to thank Mr. Yu’an Jiang for his contribution to the disposal data and experiment advice. The authors would also like to acknowledge the editors and the anonymous referees for their insightful comments.

Funding

This research was funded by Natural Science Foundation of Fujian Province (No. 2019J01327), Educational Research Projects of Young and Middle-Aged Teachers of Fujian Province (No. JAT200251) and National Natural Science Foundation Cultivation Program of Jimei University (No. ZP2020048).

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Correspondence to Tao Jiang.

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Author contribution

Tao Jiang: methodology, formal analysis, writing—original draft. Jintao Yang: data curation, validation. Jun Pi: conceptualization, funding acquisition. Wenyu Luo: visualization, software. Jun Zhang: writing—review and editing, resources.

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Jiang, T., Yang, J., Pi, J. et al. Experimental and analytical study of ultrasonic elliptical vibration cutting of micro-pyramid reflective mold based on guided wave transmission. Int J Adv Manuf Technol 118, 237–253 (2022). https://doi.org/10.1007/s00170-021-07872-z

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