Abstract
In recent years, as a new method developed for machining difficult-to-cut materials, ultrasonic vibration-assisted machining technology has been attracting more and more attentions due to its superior properties in reducing cutting temperature. However, analytical models revealing the mechanism and predicting the cutting temperature for ultrasonic vibration-assisted machining are still needed to be developed. In this paper, an analytical model was established to predict the workpiece temperature for ultrasonic vibration-assisted milling of in situ TiB2/Al MMCs. The heat intensity would be directly determined by the cutting force which was significantly influenced by the ultrasonic vibration motion. Meanwhile, the moving heat source theory was applied for calculating dynamic heat flux and partition ratio. Besides, material properties, tool geometry, cutting parameters, and vibration parameters were taken into account for workpiece temperature modeling. Finally, the developed analytical temperature model was validated by milling experiments with and without ultrasonic vibration on in situ TiB2/7050Al metal matrix composites. The relative errors between model prediction results and experiments were smaller than 17%, indicating that the proposed model could provide workpiece temperature prediction reliably and accurately. Furthermore, the established analytical model could be used not only in ultrasonic vibration-assisted milling but also in conventional milling for the metal matrix composites.
Similar content being viewed by others
Data availability
All authors confirm that the data supporting the findings of this study are available within the article.
Code availability
Not applicable.
References
Kawalec M, Przestacki D, Bartkowiak K, Jankowiak M. Laser assisted machining of aluminium composite reinforced by SiC particle. Proceedings of the 27th International Congress on Applications of Lasers & Electro-Optics (ICALEO 2008), Temecula, California, USA, October 20–23 2008, Paper No. 1906, pp. 895–900
Nath C, Rahman M (2008) Effect of machining parameters in ultrasonic vibration cutting. Int J Mach Tools Manuf 48(9):965–974
Shen XH, Zhang JH, Li H, Wang JJ, Wang XC (2012) Ultrasonic vibration-assisted milling of aluminum alloy. The International Journal of Advanced Manufacturing Technology 63(1–4):41–49
Liu J, Chen G, Ren CZ, Qin XD, Zou YH, Ge JY (2020) Effects of axial and longitudinal-torsional vibration on fiber removal in ultrasonic vibration helical milling of CFRP composites. J Manuf Process 58:868–883
Ibrahim MR, Rahim Z, Rahim E, Tobi L, Cheng K, Ding H (2016) An experimental investigation of cutting temperature and tool wear in 2 dimensional ultrasonic vibrations assisted micro-milling. Proceedings paper, 2017 (95), 2016 the 3rd International Conference on Mechatronics and Mechanical Engineering, Shanghai, China
Shen XH, Zhang JH, Xing DL, Zhao YF (2012) A study of surface roughness variation in ultrasonic vibration-assisted milling. The International Journal of Advanced Manufacturing Technology 58(5–8):553–561
Ni CB, Zhu LD, Liu CF, Yang ZC (2018) Analytical modeling of tool-workpiece contact rate and experimental study in ultrasonic vibration-assisted milling of Ti-6Al-4V. Int J Mech Sci 142:97–111
Li Z, Zhang DY, Jiang XG, Qin W, Geng DX (2017) Study on rotary ultrasonic-assisted drilling of titanium alloys (Ti6Al4V) using 8-facet drill under no cooling condition. The International Journal of Advanced Manufacturing Technology 90(9–12):3249–3264
Geng DX, Lu ZH, Yao G, Liu JJ, Li Z, Zhang DY (2017) Cutting temperature and resulting influence on machining performance in rotary ultrasonic elliptical machining of thick CFRP. Int J Mach Tools Manuf 123:160–170
Cong WL, Zou XT, Deines TW, Wu N, Wang XW, Pei ZJ (2012) Rotary ultrasonic machining of carbon fiber reinforced plastic composites: an experimental study on cutting temperature. J Reinf Plast Compos 31(22):1516–1525
Pálmai Z (1987) Cutting temperature in intermittent cutting. Int J Mach Tools Manuf 27(2):261–274
Kountanya R (2008) Cutting tool temperatures in interrupted cutting-the effect of feed-direction modulation. Journal of Manufaturing Processes 10(2):47–55
Shi WT, Hou YJ, Kong C, Liu YD (2019) Optimization of cutting force and temperature during Ti6Al4V/Al7050 laminate composites elliptical vibration turning. Proceedings of the Institution of Mechnical Engineers, Part C: J Mechanical Engineering Science 233(16):5585–5596
Mitrofanov AV, Babitsky VI, Silberschmidt VV (2004) Finite element analysis of ultrasonically assisted turning of Inconel 718. Journal of Material Processing Technology 153–154:233–239
Mitrofanov AV, Babitsky VI, Silberschmidt VV (2005) Thermomechanical finite element simulations of ultrasonically assisted turning. Comput Mater Sci 32(3–4):463–471
Ahmed N, Mitrofanov AV, Babitsky VI, Silberschmidt VV (2007) Analysis of forces in ultrasonically assisted turning. J Sound Vib 308(3–5):845–854
Muhammad R, Maurotto A, DemiralM RA, Silberschmidt V (2014) Thermally enhanced ultrasonically assisted machining of Ti alloy. CIRP J Manuf Sci Technol 7(2):159–167
Patil S, Joshi S, Tewari A, Joshi SS (2014) Modelling and simulation of effect of ultrasonic vibrations on machining of Ti6Al4V [J]. Ultrasonics 54(2):694–705
Khajehzadeh M, Razfar MR (2016) Theoretical modeling of tool mean temperature during ultrasonically assisted turning. Proceedings of the Institution of Mechnical Engineers, Part B: Journal of Engineering Manufacture 230(4):675–693
Verma GC, Pandey PM, Dixit US (2018) Estimation of workpiece-temperature during ultrasonic-vibration assisted milling considering acoustic softening. Int J Mech Sci 140:547–556
Chen JB, Xu MH, Xie C, Du JK, Dai HF, Fang QH (2018) A nonuniform moving heat source model for temperature simulation in ultrasonic-assisted cutting of titanium alloys. The International Journal of Advanced Manufacturing Technology 97(5–8):3009–3021
Liu XF, Wang WH, Jiang RS, Xiong YF, Lin KY (2020) Tool wear mechanisms in axial ultrasonic vibration assisted milling in-situ TiB2/7050Al metal matrix composites. Advances in Manufacturing 8(2):252–264
Liu XF, Wang WH, Jiang RS, Xiong YF, Lin KY, Li JC (2020) Investigation on surface roughness in axial ultrasonic vibration-assisted milling of in situ TiB2/7050Al MMCs. The International Journal of Advanced Manufacturing Technology 111(1–2):63–75
Jiang RS, Wang WH, Song GD, Wang ZQ (2016) Experimental investigation on machinability of in situ formed TiB2 particles reinforced Al MMCs. J Manuf Process 23:249–257
Xiong YF, Wang WH, Shi YY, Jiang RS, Lin KY, Song GD, Shao MW, Liu XF, Li JC, Shan CW (2021) Machining performance of in-situ TiB2 particle reinforced Al-based metal matrix composites: a literature review. Journal of Advanced Manufacturing Science and Technology 1(2):2021003-1–21
Liu XF, Wang WH, Jiang RS, Xiong YF, Lin KY, Li JC, Shan CW (2020) Analytical model of cutting force in axial ultrasonic vibration-assisted milling in-situ TiB2/7050Al PRMMCs. Chin J Aeronaut 34(4):160–173
Verma GC, Pandey PM, Dixit US (2018) Modeling of static machining force in axial ultrasonic-vibration assisted milling considering acoustic softening. Int J Mech Sci 136:1–16
Lazoglu I, Altintas Y (2002) Prediction of tool and chip temperature in continuous and interrupted machining. Int J Mach Tools Manuf 42(9):1011–1022
Shaw MC, Cookson JO (2005) Metal cutting principles. Oxford University Press, New York
Komanduri R, Hou ZB (2000) Thermal modeling of the metal cutting process: part I-temperature rise distribution due to shear plane heat source. Int J Mech Sci 42(9):1715–1752
Xiong YF, Wang WH, Jiang RS, Lin KY (2018) Analytical model of workpiece temperature in end milling in-situ TiB2/7050Al metal matrix composites. Int J Mech Sci 149:285–297
Huang K, Yang WY (2016) Analytical model of temperature field in workpiece machined surface layer in orthogonal cutting. J Mater Process Technol 229:375–389
Venuvinod PK, Lau WS (1986) Estimation of rake temperature in free oblique cutting. International journal of machine tool design and research 26(1):1–14
Blok H. Theoretical study of temperature rise at surfaces of actual contact under oiliness lubricating conditions. Proceeding of General Discussion on Lubrication and Lubricants, Institute of Mechanical Engineers London, 1938, 22–235
Kumabe J (1985) Precision machining foundation and application of vibration cutting. China Machine Press, Beijing
Funding
This work is financially sponsored by the National Natural Science Foundation of China (Grant No. 51775443), National Science and Technology Major Project (Grant No. 2017-VII-0015–0111), and China Postdoctoral Science Foundation (Grant No. 2020M683569).
Author information
Authors and Affiliations
Contributions
Xiaofen Liu: writing, modeling, methodology, investigation, calculating, and analysis. Wenhu Wang: materials and equipment support. Ruisong Jiang: investigation. Yifeng Xiong: supervision, review and editing, review of experimental setup. Kunyang Lin: checking. Junchen Li: calculation. Chenwei Shan: funding acquisition.
Corresponding author
Ethics declarations
Ethics approval
The manuscript has not been submitted to any other journal for simultaneous consideration. The submitted work is original and has not been published elsewhere in any form or language.
Consent to participate
All authors voluntarily agree to participate in this research study.
Consent for publication
All authors voluntarily agree to publish in this research study.
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
About this article
Cite this article
Liu, X., Wang, W., Jiang, R. et al. Analytical model of workpiece temperature in axial ultrasonic vibration-assisted milling in situ TiB2/7050Al MMCs. Int J Adv Manuf Technol 119, 1659–1672 (2022). https://doi.org/10.1007/s00170-021-08105-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-021-08105-z