Tool Path Generation for Multi-Degree-of-Freedom Fast Tool Servo Diamond Turning of Optical Freeform Surfaces

  • H. B. CaiEmail author
  • G. Q. Shi


Fast tool servo diamond turning is one of the most important techniques for machining optical freeform surfaces. The tool path has a significant effect on roughness, waviness and profile errors. However, the mapping mechanism between the tool path and the surface form error is not precisely expressed. The paper presents a novel approach for modelling and simulation of the tool path generation in fast tool servo diamond turning. The approach, by analyzing scallop-height, linearization error and tool nose radius compensation, models the tool path generation process. The effects and characteristic of an optimized tool path are investigated through simulations. Experiments have been carried out to show that the model is feasible.


Freeform surfaces Fast tool servo Tool path generation Active control accuracy model Profile errors 



linear motion of the x-axis


rotation motion of the c-axis


workpiece diameter




angular velocity of the spindle


processing time


form error of freeform surface


form error predicted of freeform surface


form error in feedrate direction


form error in cutting direction


cutting scallop-height in the feed direction


scallop-height of the concave curvature surface


scallop-height of the convex curvature surface


curvature radius of the freeform surface


cutter-contact point


cutting linearization error


freeform surface curve


tool trajectory in the z-direction


search step in the iterative solution method


tolerance in the iterative solution method


normal vector of CCPs


tool nose radius


surface roughness



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Copyright information

© The Society for Experimental Mechanics, Inc 2019

Authors and Affiliations

  1. 1.College of Mechanical and Electric EngineeringChangchun University of Science and TechnologyChangchunChina
  2. 2.Suzhou Institute of Biomedical Engineering and Technology Chinese Academy of SciencesSuzhouChina

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