An analytical transient cutting force model of high-speed ultrasonic vibration cutting

  • Xiangyu Zhang
  • He Sui
  • Deyuan Zhang
  • Xinggang Jiang


In the present study, an analytical transient cutting force model for high-speed ultrasonic vibration cutting has been developed. Micro-machining characteristics are figured out when both the tool nose round and round cutting edge are taken into consideration in the cutting mechanism. Four cutting zones (i.e., elastic recovery, plowing, shearing, and tool-chip friction) are proposed and analyzed to calculate the transient cutting force on each divided cross section in the normal direction of the cutting tool along the cutting edge. A non-free cutting coefficient is added to evaluate the influence of the tool shape on the cutting force compared to the orthogonal cutting model. Afterwards, transient cutting force and average cutting force are simultaneously measured. The results show that the shape and value of the transient cutting force correspond well with what was calculated using the proposed model, and the availability of the proposed model is verified by the cutting force shapes and values.


Cutting force Ultrasonic vibration cutting Tool nose Round cutting edge Micro-machining 


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Funding information

This work was supported by the National Natural Science Foundation of China (grant numbers 51290292, 51475029, and 51475031), the Application Research and Development Plan of Heilongjiang Province of China (grant number GA12A402), and the Fundamental Research Funds for the Central Universities.


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© Springer-Verlag London Ltd., part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Mechanical Engineering and AutomationBeihang UniversityBeijingChina

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