Skip to main content
Log in

Design optimization of ultrasonic vibration cutting tool to generate well-decoupled elliptical trajectory

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

Ultrasonic elliptical vibration cutting (UEVC) is a superior machining method for difficult-to-cut materials. The shape of the elliptical tool trajectory crucially affects the integrity of the machined surface. However, the existing designs of UEVC tool typically suffer from difficult motion decoupling, resulting in the low controllability of elliptical trajectory. This study presents a new optimization design method of UEVC tool with dual longitudinal generators to create well-decoupled elliptical trajectory. A theoretical model which establishes the effects of key design variables on the tool resonant characteristics was adopted to optimize the configuration angle (the included angle of two longitudinal generators) as 90°. The structural parameters of the connection blocks of the two generators were also optimized to achieve resonance matching in both the normal (depth-of-cut) and tangential (cutting) directions. The optimized tool has a stable resonant frequency of 18 kHz, a working space of 5.1 μm × 5.3 μm, and a small trajectory error of less than 0.75 μm. The vibration measurement results showed that the optimized design can enable the high controllability of tool trajectory. Grooving experiments were conducted to verify the improved cutting performance of the designed tool due to the excellent control of tool trajectory.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22
Fig. 23
Fig. 24

Similar content being viewed by others

Data availability

The data used or analyzed in the study are available from the corresponding author on reasonable request.

Code availability

There is no program or software related code setting in this study.

References

  1. Ma C, Hu D (2003) Ultrasonic elliptical vibration cutting. Chin J Mech Eng 39(12):67–70

    Article  Google Scholar 

  2. Kim G, Loh B (2007) An ultrasonic elliptical vibration cutting tool for micro V-groove machining: kinematical analysis and micro V-groove machining characteristics. J Mater Process Technol 190(1–3):181–188

    Google Scholar 

  3. Kim D, Cha K, Sung I, Bryan J (2002) Design of surface micro-structures for friction control in micro-systems applications. CIRP Ann-Manuf Technol 51(1):495–498

    Article  Google Scholar 

  4. Brandner J, Anurjew E, Bohn L, Hansjosten E, Henning T, Schygulla U, Wenka A, Schubert K (2006) Concepts and realization of microstructure heat exchangers for enhanced heat transfer. Exp Thermal Fluid Sci 30(8):801–809

    Article  Google Scholar 

  5. Fang F, Zhang X, Weckenmann A, Zhang G, Evans C (2013) Manufacturing and measurement of freeform optics. CIRP Ann-Manuf Technol 62(2):823–846

    Article  Google Scholar 

  6. Wang J, Liao W, Guo P (2019) 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(15):105347

  7. Kim G, Loh B (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

    Article  Google Scholar 

  8. Huo B, Zhao B, Yin L, Guo X, Wang X (2021) Effect of double-excitation ultrasonic elliptical vibration turning trajectory on surface morphology. Int J Adv Manuf Technol 113:1401–1414

    Article  Google Scholar 

  9. Zhang J, Suzuki N, Shamoto E (2013) Investigation on machining performance of amplitude control sculpturing method in elliptical vibration cutting. Procedia Cirp 8(Complete):328–333

  10. Brehl D, Dow T (2008) Review of vibration assisted machining. Precis Eng 32(3):153–172

    Article  Google Scholar 

  11. Shamoto E, Suzuki N, Naoi Y (2002) Development of ultrasonic elliptical vibration controller for elliptical vibration cutting. CIRP Ann-Manuf Technol 51:327–330

    Article  Google Scholar 

  12. Yin Z, Dai C, Cao Z, Li W, Chen Z, Li C (2020) Modal analysis and moving performance of a single-mode linear ultrasonic motor. Ultrasonics 108:106216

  13. Zhang S, Guo Y, Chen Z, Li G, Guo Q, Wu Y, Zeng J (2021) Proposal for a novel elliptical ultrasonic aspirator and its fundamental performance in cartilage removal. Ultrasonics 109:106259

  14. Li X, Zhang D (2006) Ultrasonic elliptical vibration transducer driven by single actuator and its application in precision cutting. J Mater Process Technol 180(1–3):91–95

    Article  Google Scholar 

  15. Lin J, Han J, Lu M, Zhou J, Gu Y, Jing X, Feng D (2017) Design and performance testing of a novel three-dimensional elliptical vibration turning device. Micromachines 8(10):305

    Article  Google Scholar 

  16. Kurniawan R, JoKo T, Kumaran S, Ahmed F (2021) 3-DOF ultrasonic elliptical vibration tool holder based on coupled resonance modes for manufacturing micro-groove. Precis Eng 67:212–231

    Article  Google Scholar 

  17. Shamoto E, Moriwaki T (1999) Ultaprecision diamond cutting of hardened steel by applying elliptical vibration cutting. CIRP Ann-Manuf Technol 48(1):441–444

    Article  Google Scholar 

  18. Zhou M, Hu L (2015) Development of an innovative tool for ultrasonic elliptical vibration cutting. Ultrasonics 60:76–81

    Article  Google Scholar 

  19. Amini S, Khosrojerdi M, Nosouhi R (2017) Elliptical ultrasonic–assisted turning tool with longitudinal and bending vibration modes. Proc Institution Mech Eng Part B J Eng Manuf 231(8):1389–1395

    Article  Google Scholar 

  20. Guo P, Ehmann K (2013) Development of a tertiary motion generator for elliptical vibration texturing. Precis Eng 37(2):364–371

    Article  Google Scholar 

  21. Guo P, Ehmann K (2013) An analysis of the surface generation mechanics of the elliptical vibration texturing process. Int J Mach Tools Manuf 64(1):85–95

    Article  Google Scholar 

  22. Zhang C, Guo P, Ehmann K, Li Y (2016) Effects of ultrasonic vibrations in micro-groove turning. Ultrasonics 67:30–40

    Article  Google Scholar 

  23. Yang Y, Pan Y, Guo P (2017) Structural coloration of metallic surfaces with micro/nano-structures induced by elliptical vibration texturing. Appl Surf Sci 402(APR.30):400–409

  24. Guo P, Lu Y, Ehmann K, Cao J (2014) Generation of hierarchical micro-structures for anisotropic wetting by elliptical vibration cutting. CIRP Ann-Manuf Technol 63(1):553–556

    Article  Google Scholar 

  25. Shamoto E, Suzuki N, Tsuchiya E, Hori Y, Inagaki H, Yoshino K (2005) Development of 3 DOF ultrasonic vibration tool for elliptical vibration cutting of sculptured surfaces. CIRP Ann-Manuf Technol 54(1):321–324

    Article  Google Scholar 

  26. Huang W, Yu D, Zhang M, Ye F, Yao J (2017) Analytical design method of a tool for ultrasonic elliptical vibration cutting. J Acoust Soc Am 141(2):1238

    Article  Google Scholar 

  27. Zhang C, Song Y, Ehmann K (2019) Design and kinematic analysis of a novel decoupled 3D ultrasonic elliptical vibration assisted cutting mechanism. Ultrasonics 95:79–94

    Article  Google Scholar 

  28. Kurniawan R, JoKo T, Ping L, Kumaran S, Kiswanto G, Guo P, Ehmann K (2017) Development of a two-frequency, elliptical-vibration texturing tool for surface texturing. J Mech Sci Technol 31(7):3465–3473

    Article  Google Scholar 

  29. Moriwaki T (2010) Development of 2-DOF ultrasonic vibration cutting device for ultra-precision elliptical vibration cutting. Key Eng Mater 447–448:164–168

    Article  Google Scholar 

  30. Lin J, Han J, Lu M, Yu B, Gu Y (2017) Design, analysis and testing of a new piezoelectric tool actuator for elliptical vibration turning. Smart Mater Struct 26(8):085008

  31. Tan R, Zhao X, Zou X, Sun T (2018) A novel ultrasonic elliptical vibration cutting tool based on a sandwiched and symmetrical structure. Int J Adv Manuf Technol 97(1):1397–1406

    Article  Google Scholar 

  32. Yang Y, Gao S, Chen K, Pan Y, Guo P (2017) Vibration analysis and development of an ultrasonic elliptical vibration tool based on a portal frame structure. Precis Eng 50:421–432

    Article  Google Scholar 

  33. Lin S, Kong X, Wang C, Yun Z, Liang Y (2018) A novel three-dimensional elliptical vibration cutting tool based on the freedom and constraint topologies theory. Proc Institution Mech Eng Part B J Eng Manuf 233(3):1–11

    Google Scholar 

  34. Richardson A, Walsh K, Abdullah M (2013) Closed-form equations for coupling linear structures using stiffness and damping elements. Struct Control Health Monit 20(3):259–281

    Article  Google Scholar 

  35. Shamoto E, Hashimoto Y, Shinagawa M, Sencer B (2014) Analytical prediction of contact stiffness and friction damping in bolted connection. CIRP Ann-Manuf Technol 63(1):353–356

    Article  Google Scholar 

  36. Suzuki N, Yokoi H, Shamoto E (2008) Improvement of load characteristics of 3 DOF ultrasonic elliptical vibration tool. Proc JSPE Semestrial Meeting 2008A:B63

    Google Scholar 

  37. Deng Y, Chen T, Liu S, Ye M (2018) Design and optimization of a double-excitation ultrasonic elliptical vibration grinding device. Piezoelectrics & Acoustooptics 42(2):182–186

    Google Scholar 

  38. Benaroya H (2004) Mechanical vibration: analysis, uncertainties, and control. CRC Press/Taylor & Francis

  39. Moriwaki T, Shamoto E (1999) Ultrasonic elliptical vibration cutting. CIRP Ann-Manuf Technol 44(1):31–34

    Article  Google Scholar 

  40. Zhang X, Kumar A, Rahman M, Liu K (2013) Modeling of the effect of tool edge radius on surface generation in elliptical vibration cutting. Int J Adv Manuf Technol 65(1–4):35–42

    Article  Google Scholar 

Download references

Funding

The authors gratefully acknowledge the financial support for this research provided by the Shenzhen Basic Research Discipline Layout Project of China (Subject Layout) (Grant No. JCYJ20160428181916222) and National Natural Science Foundation of China (Grant No. 51875311 and 52105458).

Author information

Authors and Affiliations

Authors

Contributions

Authors carry equal contributions.

Corresponding author

Correspondence to Jianjian Wang.

Ethics declarations

Ethics approval

Authors promise that this manuscript is original, and it has not been published in whole or in part, nor is it being considered for publication or submission elsewhere.

Consent to participate

We make sure the author group, the corresponding author, and the order of authors are all correct at submission.

Consent for publication

The authors have reviewed the present version of the manuscript and approved it for the final publication.

Conflict of interest

The authors declare no competing interests.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yang, J., Feng, P., Zhang, J. et al. Design optimization of ultrasonic vibration cutting tool to generate well-decoupled elliptical trajectory. Int J Adv Manuf Technol 119, 7199–7214 (2022). https://doi.org/10.1007/s00170-022-08745-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-022-08745-9

Keywords

Navigation