Modeling of surface topography based on relationship between feed per tooth and radial depth of cut in ball-end milling of AISI H13 steel

  • Qing Zhang
  • Song Zhang
  • Wenhao Shi


Machined surface topography and surface roughness are significant factors that directly affect the service performance of the material. A simulation of surface topography in ball-end milling of AISI H13 steel is developed based on the relative motion between cutting tool and workpiece. The developed model was verified by milling experiment and can be used to simulate the machined surface topography accurately. In order to optimize the surface roughness by taking material removal rate (MRR) into account, a simulation trial is conducted by employing the product value (p) and ratio (r) of feed per tooth f z and radial depth of cut a e based on the developed model. The effect of r and p on three dimensional (3D) arithmetic average deviation S ba has been investigated. An optimizing model for S ba with regard to p and r is developed. For a given value of p, which means for constant MRR, the value of r for minimum S ba can be calculated. The validation of the optimizing model was conducted by experiment, and the model was proved to be able to precisely predict S ba within the range of cutting parameters in this research.


Surface topography Surface roughness Ball-end milling Product and ratio of feed per tooth and radial depth of cut Material removal rate 


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Funding information

This work was supported by the National Natural Science Foundation of China (grant numbers 51575321 and 51175309), and Taishan Scholars Program of Shandong Province.


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Copyright information

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

Authors and Affiliations

  1. 1.School of Mechanical EngineeringShandong UniversityJinanChina
  2. 2.Key Laboratory of High-efficiency and Clean Mechanical Manufacture, Ministry of EducationShandong UniversityJinanChina

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