Jerk decision for free-form surface effects in multi-axis synchronization manufacturing

  • Wei-Han Weng
  • Chung-Feng Jeffrey KuoEmail author


Five-axis CNC tool machines have been widely used in the aerospace and automotive industries for complex and special-purpose mold production as smart machines. Obtaining good surface quality and manufacturing speed for the designed parts is always a challenging issue in a high-speed machining process. Researchers have provided several algorithms to smooth the trajectory profile or servo controller design to get good product quality. For the multi-axis synchronous motion, only a few researchers have discussed the interaction between the machine’s dynamic ability and tool path/trajectory generation. To ensure synchronous motion, the dynamic performance of each axis becomes a constraint for the frequency of the designed trajectory command. According to this requirement, a maximum jerk value in the trajectory generator could be calculated first, and then, combined with the machining method selected for the parts. A novel jerk value decision-making process is proposed for the parts machining process in this study. This new approach to obtain a better finished surface quality and shorten the machining time without adding supplemental equipment or information is demonstrated experimentally on a five-axis CNC machine for a free-form vane that could help machining operators take maximum advantage of the smart production techniques.


Jerk Trajectory Feed driver Five-axis machine tool Synchronous motion Free-form mold 



  1. 1.
    Jia Z, Ma J, Song D, Wang F, Liu W (2018) A review of contouring-error reduction method in multi-axis CNC machining. Int J Mach Tools Manuf 125:34–54. CrossRefGoogle Scholar
  2. 2.
    Erkorkmaz K, Altintas Y (2001) High speed CNC system design, part I: jerk limited trajectory generation and quantic spline interpolation. Int J Mach Tools Manuf 41:1323–1345. CrossRefGoogle Scholar
  3. 3.
    Zhang Y, Ye P, Wu J, Zhang H (2018) An optimal curvature-smooth transition algorithm with axis jerk limitations along linear segments. Int J Adv Manuf Technol 95:875–888. CrossRefGoogle Scholar
  4. 4.
    Chen M, Xi X, Zhao W, Chen H, Liu H (2017) A universal velocity limit curve generator considering abnormal tool path geometry for CNC machine tools. J Manuf Syst 44:295–301. CrossRefGoogle Scholar
  5. 5.
    Sencer B, Ishizaki K, Shamoto E (2015) High speed cornering strategy with confined contour error and vibration suppression for CNC machine tools. CIRP Ann 64:369–372. CrossRefGoogle Scholar
  6. 6.
    Chen Y, More P, Liu C (2019) Identification and verification of location errors of rotary axes on five-axis machine tools by using a touch-trigger probe and a sphere. Int J Adv Manuf Technol 100:2653–2667. CrossRefGoogle Scholar
  7. 7.
    Ha C, Lee D (2018) Analysis of embedded prefilters in motion profiles. IEEE Trans Ind Electron 65:1481–1489. CrossRefGoogle Scholar
  8. 8.
    Cai Y, Zhang F, Xi X (2019) Cutter orientation planning in NC machining for surface similar to revolution body with considering kinematic characteristics. Int J Adv Manuf Technol 100:503–513. CrossRefGoogle Scholar
  9. 9.
    Sun Y, Zhao Y, Bao Y, Guo D (2014) A novel adaptive-feedrate interpolation method for NURBS tool path with drive constraints. Int J Mach Tools Manuf 77:74–81. CrossRefGoogle Scholar
  10. 10.
    Liu X, Li Y, Li Q (2018) A region-based 3+2-axis machining toolpath generation method for freeform surface. Int J Adv Manuf Technol 97:1149–1169. CrossRefGoogle Scholar
  11. 11.
    Li B, Zhang H, Ye P (2018) Error constraint optimization for corner smoothing algorithms in high-speed CNC machine tools. Int J Adv Manuf Technol 99:635–646. CrossRefGoogle Scholar
  12. 12.
    Sencer B, Tajima S (2017) Frequency optimal feed motion planning in computer numerical controlled machine tools for vibration avoidance. J Manuf Sci E-T ASME 139:011006. CrossRefGoogle Scholar
  13. 13.
    Core M, Shinonawanik P, Wongratanaphisan T (2018) Time-domain prefilter design for enhanced tracking and vibration suppression in machine motion control. Mech Syst Signal Process 104:106–119. CrossRefGoogle Scholar
  14. 14.
    Mansour S, Seethaler R (2017) Feedrate optimization for computer numerically controlled machine tools using modeled and measured process constraints. J Manuf Sci E-T ASME 139:011012. CrossRefGoogle Scholar
  15. 15.
    Tounsi N, Bailey T, Elbestawi M (2003) Identification of acceleration deceleration profile of feed drive systems in CNC machines. Int J Mach Tools Manuf 43:441–451. CrossRefGoogle Scholar
  16. 16.
    Altintas Y, Sencer B (2010) High speed contouring control strategy for five-axis machine tools. CIRP Ann Manuf Technol 59:417–420. CrossRefGoogle Scholar
  17. 17.
    Bo P, Barton M, Plakhotnik D, Pottman H (2016) Towards efficient 5-axis flank CNC machining of free-form surfaces via fitting envelopes of surfaces of revolution. Comput Aided Des 79:1–11. CrossRefGoogle Scholar
  18. 18.
    Yao W (2015) Modeling and synchronous control of dual mechanically coupled linear servo system. J Dyn Syst T ASME 137:041009. CrossRefGoogle Scholar
  19. 19.
    Shen H, Sun Y, Zhang L, Fu J (2018) A parameter zone subdivision method for rotary axes motion optimization in five-axis toolpath generation using inverse evaluation mechanism. Int J Adv Manuf Technol 98:3115–3131. CrossRefGoogle Scholar
  20. 20.
    Zhang Y, Zhao M, Ye P, Jiang J, Zhang H (2018) Optimal curvature-smooth transition and efficient feedrate optimization method with axis kinematic limitations for linear toolpath. Int J Adv Manuf Technol 99:169–179. CrossRefGoogle Scholar
  21. 21.
    Ni H, Hu T, Zhang C, Ji S, Chen Q (2018) An optimized feedrate scheduling method for CNC machining with round-off error compensation. Int J Adv Manuf Technol 97:2369–2381. CrossRefGoogle Scholar
  22. 22.
    Han J, Jiang Y, Tian X, Chen F, Lu C, Xia L (2018) A local smoothing interpolation method for short line segments to realize continuous motion of tool axis acceleration. Int J Adv Manuf Technol 95:1729–1742. CrossRefGoogle Scholar
  23. 23.
    Sencer B, Shamoto E (2012) The effect of jerk parameter of the reference motion trajectory on the oscillatory behavior of feed drive systems. Proc of JSPE Spring Conference.
  24. 24.
    Barre P, Bearee R, Borne P, Dumetz E (2005) Influence of a jerk controlled movement law on the vibratory behaviour of high-dynamics systems. J Intell Robot Syst 42:275–293. CrossRefGoogle Scholar
  25. 25.
    Lambrechts P, Matthijs B, Maarten S (2005) Trajectory planning and feedforward design for electromechanical motion systems. Control Eng Pract 13:145–157. CrossRefGoogle Scholar
  26. 26.
    HEIDENHAIN Technical manual iTNC 530 (2013) HEIDENHAIN, GermanyGoogle Scholar
  27. 27.
    Lambrechts P (2003) Trajectory planning and feedforward design for electromechanical motion systems: version 2. DCT rapporten.
  28. 28.
    Lin C, Lee C (2017) Remote servo tuning system for multi-axis CNC machine tools using a virtual machine tool approach. Appl Sci 7:776. CrossRefGoogle Scholar

Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Materials Science & EngineeringNational Taiwan University of Science and TechnologyTaipeiTaiwan

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