Experimental and modeling study on cutting forces of feed direction ultrasonic vibration-assisted milling

  • Guocan Tao
  • Chao Ma
  • Xuehui Shen
  • Jianhua ZhangEmail author


An ultrasonic vibration-assisted milling experiment was made for studying the cutting forces. The experimental results showed that small fluctuations caused by vibration of milling machine and cutting fluid system were restrained after exerting ultrasonic vibration. Horizontal force was used for analyzing the effect of exerted ultrasonic vibration on milling forces. And for ultrasonic vibration with different amplitudes, the horizontal cutting force firstly increases and then decreases. An ultrasonic vibration-assisted milling cutting mechanism model was made in this paper to compute the cutting forces of tangential, radial, and axial directions. A cutting force model was made and it showed that all the three direction forces are influenced by the feed speed, vibration amplitude, and the ratio between vibration frequency and the rotation speed. Air cutting takes place every vibration period when certain relationship was reached. Tangential force is the vector addition of X and Y direction forces, which are the combinations of a linear part and trigonometric parts affected by rotation speed and vibration frequency, respectively. Z direction force changes proportionally to the tangential force. The results indicate that the cutting forces are decreased when feed direction ultrasonic vibration is exerted especially when the feed per tooth is 12 μm/tooth and the ultrasonic vibration with amplitude 12 μm is exerted.


Cutting forces Modeling Ultrasonic vibration-assisted milling Experiment Cutting mechanism 


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  1. 1.
    Tlusty J, Macneil P (1975) Dynamics of cutting forces in end milling. Ann CIRP 24:21–25Google Scholar
  2. 2.
    Bao WY, Tansel IN (2000) Modeling micro-end-milling operations. Part I: analytical cutting force model. Int J Mach Tools Manuf 40:2155–2173CrossRefGoogle Scholar
  3. 3.
    Kang IS, Kim JS, Kim JH, Kang MC, Seo YW (2007) A mechanistic model of cutting force in the micro end milling process. J Mater Process Technol 187-188:250–255CrossRefGoogle Scholar
  4. 4.
    Omar OEEK, El-Wardany T, Ng E, Elbestawi MA (2007) An improved cutting force and surface topography prediction model in end milling. International Journal of Machine Tools & Manufacture 47:1263–1275CrossRefGoogle Scholar
  5. 5.
    Azmi AI, Lin RJT, Bhattacharyya D (2012) Experimental study of machinability of GFRP composites by end milling. Materials & Manufacturing Processes 27:1045–1050CrossRefGoogle Scholar
  6. 6.
    Wang BS, Zuo JM, Wang ML, Hou JM (2012) Prediction of milling force based on numerical simulation of oblique cutting. Materials & Manufacturing Processes 27:1011–1016CrossRefGoogle Scholar
  7. 7.
    Mehmet A, Mehmet U, Abdulkadir C, Mustafa K, Barkın B (2014) A methodology for cutting force prediction in side milling. Materials & Manufacturing Processes 29:1429–1435CrossRefGoogle Scholar
  8. 8.
    Zhang X, Zhang J, Pang B, Zhao WH (2015) An accurate prediction method of cutting forces in 5-axis flank milling of sculptured surface. International Journal of Machine Tools & Manufacture 104:26–36CrossRefGoogle Scholar
  9. 9.
    Ozturk E, Budak E (2007) Modeling of 5-axis milling processes. Mach Sci Technol 11:287–311Google Scholar
  10. 10.
    Wang SB, Geng L, Zhang YF, Liu K, Ng TE (2015) Cutting force prediction for five-axis ball-end milling considering cutter vibrations and run-out. Int J Mech Sci:96–97Google Scholar
  11. 11.
    Shen, XH (2011) Study on the technology and mechanism of ultrasonic vibration assisted milling. Dissertation, Shandong University.Google Scholar
  12. 12.
    Ding, H (2011) Investigation on cutting mechanisms and experiments in two-dimensional vibration-assisted micro milling. Dissertation, Harbin Institute of Technology.Google Scholar
  13. 13.
    Xiao X, Zheng K, Liao W (2014) Theoretical model for cutting force in rotary ultrasonic milling of dental zirconia ceramics. Int J Adv Manuf Technol 75:1263–1277CrossRefGoogle Scholar

Copyright information

© Springer-Verlag London 2016

Authors and Affiliations

  • Guocan Tao
    • 1
  • Chao Ma
    • 1
  • Xuehui Shen
    • 2
  • Jianhua Zhang
    • 1
    Email author
  1. 1.Key Laboratory of High Efficiency and Clean Mechanical Manufacture (Ministry of Education), School of Mechanical EngineeringShandong UniversityJinanChina
  2. 2.School of Mechanical and Automotive EngineeringQilu University of TechnologyJinanChina

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