Abstract
Composite vibration ultrasonic cutting can achieve better processing quality than one-dimensional vibration machining, effectively increase the quality of the finished surface and prolongs the service life of the tool. Due to limitations of existing cutting devices that use composite vibration processing, including large motion coupling errors, small amplitudes, complex devices, and high costs, a new symmetrical radial and transverse vibration ultrasonic cutting device is proposed in this study. The proposed device is designed with a symmetrical structure and a unique fixed position of nodes to overcome the above limitations. In this paper, realization of radial and transverse vibration is elucidated by studying the vibration forms of piezoelectric vibrators. Based on the small deflection theory of axisymmetric thin circular plate in elastic mechanics, deformation of the vibrator after radial vibration coupling to transverse vibration is analyzed. The relationship between tool tip output trajectory and excitation phase difference is also evaluated. Impedance analysis and amplitude measurement results reveal that the cutting device achieves radial vibration at 80.5 kHz, with an amplitude of up to 490 nm; achieves transverse vibration at 75.95 kHz, with an amplitude of up to 710 nm, while amplitude ratio of radial and transverse vibrations is 0.679. The quality factor Qm of transverse vibration is 705.33, proving that the device can perform ultrasonic vibration cutting for a long time. The tool tip output trajectory proves that under different phases, the cutting device can achieve variable elliptical vibration cutting.
Similar content being viewed by others
References
Zhang CM, Li C, Zhang DY (2011) Study on the cutting force in ultrasonic elliptical vibration cutting of hardened stainless steel. AMM 55–57:327–331. https://doi.org/10.4028/www.scientific.net/AMM.55-57.327
Babitsky VI, Mitrofanov AV, Silberschmidt VV (2004) Ultrasonically assisted turning of aviation materials: simulations and experimental study. Ultrasonics 42:81–86. https://doi.org/10.1016/j.ultras.2004.02.001
Ma CX, Shamoto E, Xu LM et al (2006) Ultra-precision cutting of brittle materials with ultrasonic vibrated diamond tool. MSF 532–533:169–172. https://doi.org/10.4028/www.scientific.net/MSF.532-533.169
Yan YY, Zhao B, Wu Y et al (2006) Study on material removal mechanism of fine-crystalline ZrO2 ceramics under two dimensional ultrasonic grinding. MSF 532–533:532–535. https://doi.org/10.4028/www.scientific.net/MSF.532-533.532
Zhao B, Yan YY, Wu Y et al (2006) Study on motion model of abrasive particle and surface formation mechanics under two dimensional ultrasonic grinding. KEM 315–316:314–318. https://doi.org/10.4028/www.scientific.net/KEM.315-316.314
Ding H, Chen S-J, Ibrahim R, Cheng K (2011) Investigation of the size effect on burr formation in two-dimensional vibration-assisted micro end milling. Proc Inst Mech Eng B J Eng Manuf 225:2032–2039. https://doi.org/10.1177/0954405411400820
Ding H, Ibrahim R, Cheng K, Chen S-J (2010) Experimental study on machinability improvement of hardened tool steel using two dimensional vibration-assisted micro-end-milling. Int J Mach Tools Manuf 50:1115–1118. https://doi.org/10.1016/j.ijmachtools.2010.08.010
Shamoto E, Suzuki N (2009) Development of elliptical vibration cutting technology and its application to ultraprecision/micro machining of hard/brittle materials. AMR 69–70:133–137. https://doi.org/10.4028/www.scientific.net/AMR.69-70.133
Wu Y, Zhao B, Zhu XS (2009) Brittle-ductile transition in the two-dimensional ultrasonic vibration grinding of nanocomposite ceramics. KEM 416:477–481. https://doi.org/10.4028/www.scientific.net/KEM.416.477
Wang R, Zhou X, Meng G (2019) Development of a novel type of elliptical vibration cutting approaches with varying phase difference. Int J Adv Manuf Technol 101:3107–3120. https://doi.org/10.1007/s00170-018-3077-4
Shamoto E, Moriwaki T (1994) Study on elliptical vibration cutting. CIRP Ann 43:35–38. https://doi.org/10.1016/S0007-8506(07)62158-1
Shamoto E, Suzuki N, Tsuchiya E et al (2005) Development of 3 DOF ultrasonic vibration tool for elliptical vibration cutting of sculptured surfaces. CIRP Ann 54:321–324. https://doi.org/10.1016/S0007-8506(07)60113-9
Guo P, Ehmann KF (2013) Development of a tertiary motion generator for elliptical vibration texturing. Precis Eng 37:364–371. https://doi.org/10.1016/j.precisioneng.2012.10.005
Loh BG, Kim GD (2012) Correcting distortion and rotation direction of an elliptical trajectory in elliptical vibration cutting by modulating phase and relative magnitude of the sinusoidal excitation voltages. Proc Inst Mech Eng B J Eng Manuf 226:813–823. https://doi.org/10.1177/0954405411431375
Kim GD, Loh BG (2008) Characteristics of elliptical vibration cutting in micro-V grooving with variations in the elliptical cutting locus and excitation frequency. J Micromech Microeng 18:025002. https://doi.org/10.1088/0960-1317/18/2/025002
Jiang Y, Pi J, Zhang Y et al (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 108:3101–3117. https://doi.org/10.1007/s00170-020-05552-y
Sitharam TG, Govindaraju L (2021) Theory of elasticity. Springer Singapore, Singapore
Olszak W (1980) Thin Shell Theory. Springer Vienna, Vienna
Zhang T, Wang Q-M (2005) Valveless piezoelectric micropump for fuel delivery in direct methanol fuel cell (DMFC) devices. J Power Sources 140:72–80. https://doi.org/10.1016/j.jpowsour.2004.07.026
M, Melvin T, Ensell G, et al (2003) Design and theoretical evaluation of a novel microfluidic device to be used for PCR. J Micromech Microeng 13:S125–S130. https://doi.org/10.1088/0960-1317/13/4/321
Loh BG, Kim GD (2012) Correcting distortion of elliptical trajectory for maximizing cutting performance in elliptical vibration cutting. KEM 516:378–383. https://doi.org/10.4028/www.scientific.net/KEM.516.378
Zhu W-L, He Y, Ehmann KF et al (2017) Modeling of the effects of phase shift on cutting performance in elliptical vibration cutting. Int J Adv Manuf Technol 92:3103–3115. https://doi.org/10.1007/s00170-017-0366-2
Funding
We sincerely appreciate the Natural Science Foundation of Fujian Province (No. 2019J01327), the Natural Science Foundation of Fujian Province (No.2021J01850), the Natural Science Foundation of Fujian Province (No. 2021J01853), and the National Natural Science Foundation Cultivation Program of Jimei University (No. ZP2020048) for the financial support to this study.
Author information
Authors and Affiliations
Contributions
Wenyu Luo: writing—original draft, formal analysis, software. Jun Pi: conceptualization, methodology. Tao Jiang: funding acquisition, supervision. Zhihuang Shen: project administration. Dapan Hou: resources. Zhonghe Cao: data curation, resources. Changsheng Xue: data curation, validation. Zheming Liang: writing—review and editing.
Corresponding author
Ethics declarations
Ethics approval
The authors state that the present work is in compliance with the ethical standards.
Consent to participate
All the authors consent to participate in this work.
Consent for publication
All authors agree to publish.
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
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Luo, W., Pi, J., Jiang, T. et al. Design and capability test of symmetrical radial and transverse vibration ultrasonic cutting device. Int J Adv Manuf Technol 124, 1513–1526 (2023). https://doi.org/10.1007/s00170-022-10362-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-022-10362-5