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Geometric deviation evaluation for a five-axis flank milling tool path using the tool swept envelope

  • Yao-An LuEmail author
  • Cheng-Yong Wang
  • Li Zhou
ORIGINAL ARTICLE
  • 36 Downloads

Abstract

The geometric deviation is a fundamental concern of five-axis flank milling tool path planning. The determination of the tool swept envelope (TSE) is a very important issue for geometric deviation evaluation because the machined surface is formed by the TSE. Envelope condition is usually utilized to calculate the swept profiles on the cutter surfaces to construct the TSE. The envelope condition presumes the velocity of any point on the tool axis trajectory surface does not vanish. However, it will vanish if the tool axis trajectory surface is not regular. If the swept profiles are still integrated directly to form the TSE when the tool axis trajectory surface is not regular, a wrong result is returned and it will affect the geometric deviation evaluation as well. Kinds of research have largely overlooked this problem. This research presents a robust TSE modeling method and an efficient geometric deviation evaluation method using the TSE. First, the two rotary axes movements are considered to define the tool axis trajectory surface. Then, based on the tool axis trajectory surface and the cutter geometry, cutter’s swept profiles are determined by using the envelope theory of sphere congruence. By utilizing the proposed method to detect outlier tool positions, the TSE is decomposed into multiple surface patches according to the outlier tool positions. To deal with the tool path self-intersection issue, surface patches of the TSE and the cutting tools at the outlier tool positions are represented as triangular facets. Finally, the geometric deviation for a flank milling tool path is calculated via the discrete vector model of the design surface. Examples are given to demonstrate the validity of the proposed methods.

Keywords

Geometric deviation Tool swept envelope Flank milling Self-intersection tool path 

Notes

Acknowledgments

This work was supported by the Science and Technology Planning Project of Guangdong Province (Grant Number 2017B090913006), the National Natural Science Foundation of China (Grant Number 51805094), and the China Postdoctoral Science Foundation (Grant Number 2018M633009).

References

  1. 1.
    Zhu LM, Zheng G, Ding H, Xiong YL (2010) Global optimization of tool path for five-axis flank milling with a conical cutter. Comput Aided Des 42(10):903–910CrossRefGoogle Scholar
  2. 2.
    Huang ND, Bi QZ, Wang YH, Sun C (2014) 5-Axis adaptive flank milling of flexible thin-walled parts based on the on-machine measurement. Int J Mach Tool Manu 84:1–8CrossRefGoogle Scholar
  3. 3.
    Calleja A, Bo PB, González H, Bartoň M, López de Lacalle LN (2018) Highly accurate 5-axis flank CNC machining with conical tools. Int J Adv Manuf Technol 97(5–8):1605–1615CrossRefGoogle Scholar
  4. 4.
    Li C, Mann S, Bedi S (2005) Error measurements for flank milling. Comput Aided Des 37(14):1459–1468CrossRefGoogle Scholar
  5. 5.
    Pechard PY, Tournier C, Lartigue C, Lugarini JP (2009) Geometrical deviations versus smoothness in 5-axis high-speed flank milling. Int J Mach Tool Manu 49(6):454–461CrossRefGoogle Scholar
  6. 6.
    Zhou YS, Chen ZZC, Yang XJ (2015) An accurate, efficient envelope approach to modeling the geometric deviation of the machined surface for a specific five-axis CNC machine tool. Int J Mach Tool Manu 95:67–77CrossRefGoogle Scholar
  7. 7.
    Yi J, Chu CH, Kuo CL, Li XY, Gao L (2018) Optimized tool path planning for five-axis flank milling of ruled surfaces using geometric decomposition strategy and multi-population harmony search algorithm. Appl Soft Comput 73:547–561CrossRefGoogle Scholar
  8. 8.
    Sullivan A, Erdim H, Perry RN, Frisken SF (2012) High accuracy NC milling simulation using composite adaptively sampled distance fields. Comput Aided Des 44(6):522–536CrossRefGoogle Scholar
  9. 9.
    Zhu LM, Zhang XM, Zheng G, Ding H (2009) Analytical expression of the swept surface of a rotary cutter using the envelope theory of sphere congruence. J Manuf Sci Eng 131(4):041017CrossRefGoogle Scholar
  10. 10.
    Weinert K, Du S, Damm P, Stautner M (2004) Swept volume generation for the simulation of machining processes. Int J Mach Tool Manu 44(6):617–628CrossRefGoogle Scholar
  11. 11.
    Gong H, Wang N (2009) Analytical calculation of the envelope surface for generic milling tools directly from CL-data based on the moving frame method. Comput Aided Des 41(11):848–855CrossRefGoogle Scholar
  12. 12.
    Zhu LM, Zheng G, Ding H (2009) Formulating the swept envelope of rotary cutter undergoing general spatial motion for multi-axis NC machining. Int J Mach Tool Manu 49(2):199–202CrossRefGoogle Scholar
  13. 13.
    Aras E (2009) Generating cutter swept envelopes in five-axis milling by two-parameter families of spheres. Comput Aided Des 41(2):95–105CrossRefGoogle Scholar
  14. 14.
    Lee SW, Nestler A (2011) Complete swept volume generation—part I: swept volume of a piecewise C1-continuous cutter at five-axis milling via Gauss map. Comput Aided Des 43(4):427–441CrossRefGoogle Scholar
  15. 15.
    Zhu LM, Lu YA (2015) Geometric conditions for tangent continuity of swept tool envelopes with application to multi-pass flank milling. Comput Aided Des 59:43–49CrossRefGoogle Scholar
  16. 16.
    Li ZL, Zhu LM (2014) Envelope surface modeling and tool path optimization for five-axis flank milling considering cutter runout. J Manuf Sci Eng 136(4):041021CrossRefGoogle Scholar
  17. 17.
    Lee SW, Nestler A (2011) Complete swept volume generation—part II: NC simulation of self-penetration via comprehensive analysis of envelope profiles. Comput Aided Des 43(4):442–456CrossRefGoogle Scholar
  18. 18.
    Blackmore D, Samulyak R, Leu MC (1999) Trimming swept volumes. Comput Aided Des 31(3):215–223CrossRefGoogle Scholar
  19. 19.
    Machchhar J, Plakhotnik D, Elber G (2017) Precise algebraic-based swept volumes for arbitrary free-form shaped tools towards multi-axis CNC machining verification. Comput Aided Des 90:48–58CrossRefGoogle Scholar
  20. 20.
    Wang WP, Wang KK (1986) Geometric modeling for swept volume of moving solids. Comput Graph Appl 6(12):8–17CrossRefGoogle Scholar
  21. 21.
    Langeron JM, Duc E, Lartigue C, Bourdet P (2004) A new format for 5-axis tool path computation, using Bspline curves. Comput Aided Des 36(12):1219–1229CrossRefGoogle Scholar
  22. 22.
    Lu YA, Wang CY, Zhou L, Sui JB, Zheng LJ (2019) Smooth flank milling tool path generation for blade surfaces considering geometric constraints. Int J Adv Manuf Technol 103(5):1911–1923CrossRefGoogle Scholar
  23. 23.
    Park JW, Shin YH, Chung YC (2005) Hybrid cutting simulation via discrete vector model. Comput Aided Des 37(4):419–430CrossRefGoogle Scholar
  24. 24.
    Behley J, Steinhage V, Cremers AB (2015) Efficient radius neighbor search in three-dimensional point clouds. Paper presented at the 2015 IEEE International Conference on Robotics and Automation (ICRA)Google Scholar
  25. 25.
    Chiou JCJ (2004) Accurate tool position for five-axis ruled surface machining by swept envelope approach. Comput Aided Des 36(10):967–974CrossRefGoogle Scholar

Copyright information

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

Authors and Affiliations

  1. 1.School of Electromechanical EngineeringGuangdong University of TechnologyGuangzhouChina
  2. 2.School of Mechatronic EngineeringGuangdong Polytechnic Normal UniversityGuangzhouChina

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