Design of ultrasonic elliptical vibration cutting system for tungsten heavy alloy

Abstract

Nanoscale surface roughness of tungsten heavy alloy components is required in the nuclear industry and precision instruments. In this study, a high-performance ultrasonic elliptical vibration cutting (UEVC) system is developed to solve the precision machining problem of tungsten heavy alloy. A new design method of stepped bending vibration horn based on Timoshenko’s theory is first proposed, and its design process is greatly simplified. The arrangement and working principle of piezoelectric transducers on the ultrasonic vibrator using the fifth resonant mode of bending are analyzed to realize the dual-bending vibration modes. A cutting tool is installed at the end of the ultrasonic vibration unit to output the ultrasonic elliptical vibration locus, which is verified by finite element method. The vibration unit can display different three-degree-of-freedom (3-DOF) UEVC characteristics by adjusting the corresponding position of the unit and workpiece. A dual-channel ultrasonic power supply is developed to excite the ultrasonic vibration unit, which makes the UEVC system present the resonant frequency of 41 kHz and the maximum amplitude of 14.2 μm. Different microtopography and surface roughness are obtained by the cutting experiments of tungsten heavy alloy hemispherical workpiece with the UEVC system, which validates the proposed design’s technical capability and provides optimization basis for further improving the machining quality of the curved surface components of tungsten heavy alloy.

Key words： tungsten heavy alloy; ultrasonic elliptical vibration cutting; Timoshenko’s theory; resonant mode of bending; finite element method

Nomenclature

Abbreviations
CC	Common cutting
DOF	Degree-of-freedom
FEM	Finite element method
PID	Proportional–integral–derivative
PZT	Piezoelectric transducer
UEVC	Ultrasonic elliptical vibration cutting
UEVTH	Ultrasonic elliptical vibration tool holder
Variables
A	Sectional area of rod
A1, A2	Amplitude along the Z and X directions, respectively
Ap	Sectional area of the PZT
C1	Static capacitance
C2	Dynamic capacitance
d	Diameter
D	Displacement
E	Young’s modulus
Eh	Young’s modulus of the horn
Ep	Young’s modulus of the PZT
f	Resonant frequency
F	Shear force
G	Shear modulus
Gp	Shear modulus of the PZT
K	Equivalent elastic modulus coefficient
Ge	Effective shear modulus
Geh	Effective shear modulus of the horn
Gep	Effective shear modulus of PZT
I	Moment of inertia
l	Length of the uniform rod
lp	Thickness of a single PZT
lv	Length of the vibrator that should be shortened
L1	Dynamic inductance
L0	Inductive load
M	Bending moment
R1	Dynamic resistance
Ra	Surface roughness
Ze	Equivalent impedance
\omega	Angular frequency
ρ	Density
ρh	Density of the horn
ρp	Density of the PZT
γ	Poisson’s ratio
γh	Poisson’s ratio of the horn
γp	Poisson’s ratio of the PZT
∆φ	Phase difference between the dual-bending vibration
αt	Angle between the vibrator axis and feed direction
βt	Angle between A1 and feed direction
ξ	Rotational angle

Acknowledgements

The authors are grateful to the financial support from the National Natural Science Foundation of China (Grant No. U20A20291), the Xingliao Talent Program of Liaoning Province, China (Grant No. XLYC1907183), and the Fundamental Research Funds for the Central Universities, China (Grant No. DUT22ZD201).

References

1 Meng D R , Zuo Z Y , Qiao X . Study on high temperature tensile mechanical properties of tungsten alloy based on ANSYS. In: Proceedings of 2020 the 3rd International Conference on Electron Device and Mechanical Engineering (ICEDME). Suzhou: IEEE, 2020, 236–239

2 Kaufmann M, Neu R. Tungsten as first wall material in fusion devices. Fusion Engineering and Design, 2007, 82(5–14): 521–527

3 Wang J , Cheng L , Yuan Y , Lu G H , Ge L , Zhou Z J . Fuzz nanostructure and erosion on tungsten-vanadium alloys exposed to helium plasma in the STEP linear plasma device. Nuclear Fusion, 2019, 59(8): 086038

4 Jiao Z H , Kang R K , Dong Z G , Guo J . Microstructure characterization of W-Ni-Fe heavy alloys with optimized metallographic preparation method. International Journal of Refractory Metals and Hard Materials, 2019, 80: 114–122

5 Wang M M , Xie Z M , Deng H W , Yang J F , Wang Y K , Zhang T , Xiong Y , Wang X P , Fang Q F , Liu C S . Grain size effects of tungsten powder on the micro-structure and mechanical properties of tungsten-based alloys. Materials Science and Engineering: A, 2019, 754: 216–223

6 Sagar C K , Priyadarshini A , Gupta A K . Optimization of machining parameters during turning of tungsten heavy alloys using Taguchi analysis. In: Proceedings of the ASME 2019 International Mechanical Engineering Congress and Exposition. Salt Lake City: ASME, 2019, V001T03A017

7 Suzuki N , Haritani M , Yang J B , Hino R , Shamoto E . Elliptical vibration cutting of tungsten alloy molds for optical glass parts. CIRP Annals, 2007, 56(1): 127–130

8 Moriwaki T , Shamoto E . Ultrasonic elliptical vibration cutting. CIRP Annals, 1995, 44(1): 31–34

9 Li X, Zhang D Y. Ultrasonic elliptical vibration transducer driven by single actuator and its application in precision cutting. Journal of Materials Processing Technology, 2006, 180(1–3): 91–95

10 Lu K K , Tian Y L , Liu C F , Zhou C K , Guo Z Y , Wang F J , Zhang D W , Shirinzadeh B . Design of a novel 3D ultrasonic vibration platform with tunable characteristics. International Journal of Mechanical Sciences, 2020, 186: 105895

11 Wang J J , Liao W H , Guo P . Modulated ultrasonic elliptical vibration cutting for ductile-regime texturing of brittle materials with 2-D combined resonant and non-resonant vibrations. International Journal of Mechanical Sciences, 2020, 170: 105347

12 Jung H J , Hayasaka T , Shamoto E . Mechanism and suppression of frictional chatter in high-efficiency elliptical vibration cutting. CIRP Annals, 2016, 65(1): 369–372

13 Yang Y , Gao S M , Chen K Y , Pan Y Y , Guo P . Vibration analysis and development of an ultrasonic elliptical vibration tool based on a portal frame structure. Precision Engineering, 2017, 50: 421–432

14 Shamoto E , Moriwaki T . Ultaprecision diamond cutting of hardened steel by applying elliptical vibration cutting. CIRP Annals, 1999, 48(1): 441–444

15 Ma C X, Shamoto E, Moriwaki T, Wang L J. Study of machining accuracy in ultrasonic elliptical vibration cutting. International Journal of Machine Tools and Manufacture, 2004, 44(12–13): 1305–1310

16 Kurniawan R , Kumaran S T , Ali S , Nurcahyaningsih D A , Kiswanto G , Ko T J . Experimental and analytical study of ultrasonic elliptical vibration cutting on AISI 1045 for sustainable machining of round-shaped microgroove pattern. The International Journal of Advanced Manufacturing Technology, 2018, 98(5): 2031–2055

17 Huang W H , Yu D P , Zhang X Q , Zhang M , Chen D S . Ductile-regime machining model for ultrasonic elliptical vibration cutting of brittle materials. Journal of Manufacturing Processes, 2018, 36: 68–76

18 Guo P , Ehmann K F . Development of a tertiary motion generator for elliptical vibration texturing. Precision Engineering, 2013, 37(2): 364–371

19 Jung H J , Hayasaka T , Shamoto E , Xu L J . Suppression of forced vibration due to chip segmentation in ultrasonic elliptical vibration cutting of titanium alloy Ti−6Al−4V. Precision Engineering, 2020, 64: 98–107

20 Nath C , Rahman M , Neo K S . Machinability study of tungsten carbide using PCD tools under ultrasonic elliptical vibration cutting. International Journal of Machine Tools and Manufacture, 2009, 49(14): 1089–1095

21 Zhang J G , Suzuki N , Wang Y L , Shamoto E . Fundamental investigation of ultra-precision ductile machining of tungsten carbide by applying elliptical vibration cutting with single crystal diamond. Journal of Materials Processing Technology, 2014, 214(11): 2644–2659

22 Zhang J G , Zhang J J , Rosenkranz A , Suzuki N , Shamoto E . Frictional properties of surface textures fabricated on hardened steel by elliptical vibration diamond cutting. Precision Engineering, 2019, 59: 66–72

23 Yin S , Dong Z G , Bao Y , Kang R K , Du W H , Pan Y N , Jin Z J . Development and optimization of ultrasonic elliptical vibration cutting device based on single excitation. Journal of Manufacturing Science and Engineering, 2021, 143(8): 081005

24 Pan Y N , Kang R K , Dong Z G , Du W H , Yin S , Bao Y . On-line prediction of ultrasonic elliptical vibration cutting surface roughness of tungsten heavy alloy based on deep learning. Journal of Intelligent Manufacturing, 2020, 33: 675–685

25 Yin Z , Fu Y C , Xu J H , Li H , Cao Z Y , Chen Y R . A novel single driven ultrasonic elliptical vibration cutting device. The International Journal of Advanced Manufacturing Technology, 2017, 90(9): 3289–3300

26 Kim G D , Loh B G . Machining of micro-channels and pyramid patterns using elliptical vibration cutting. The International Journal of Advanced Manufacturing Technology, 2010, 49(9): 961–968

27 Ma C X , Ma J , Shamoto E , Moriwaki T . Analysis of regenerative chatter suppression with adding the ultrasonic elliptical vibration on the cutting tool. Precision Engineering, 2011, 35(2): 329–338

28 Zhou M , Hu L H . Development of an innovative device for ultrasonic elliptical vibration cutting. Ultrasonics, 2015, 60: 76–81

29 Huang W H , Yu D P , Zhang M , Ye F F , Yao J . Analytical design method of a device for ultrasonic elliptical vibration cutting. The Journal of the Acoustical Society of America, 2017, 141(2): 1238–1245

30 Kurniawan R , Ko T J , Kumaran S T , Ahmed F . 3-DOF ultrasonic elliptical vibration tool holder based on coupled resonance modes for manufacturing micro-groove. Precision Engineering, 2021, 67: 212–231

31 Parashar S K , Von Wagner U , Hagedorn P . A modified Timoshenko beam theory for nonlinear shear-induced flexural vibrations of piezoceramic continua. Nonlinear Dynamics, 2004, 37(3): 181–205

32 Zhang H, Zhang S Y, Wang T H. Flexural vibration analyses of piezoelectric ceramic tubes with mass loads in ultrasonic actuators. Ultrasonics, 2007, 47(1–4): 82–89

33 Ma G F , Kang R K , Dong Z G , Yin S , Bao Y , Guo D M . Hole quality in longitudinal–torsional coupled ultrasonic vibration assisted drilling of carbon fiber reinforced plastics. Frontiers of Mechanical Engineering, 2020, 15(4): 538–546

34 Xu S L , Kuriyagawa T , Shimada K , Mizutani M . Recent advances in ultrasonic-assisted machining for the fabrication of micro/nano-textured surfaces. Frontiers of Mechanical Engineering, 2017, 12(1): 33–45

35 Shamoto E , Suzuki N , Hino R . Analysis of 3D elliptical vibration cutting with thin shear plane model. CIRP Annals, 2008, 57(1): 57–60