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Simulation model for CNC machining of sculptured surface allowing different levels of detail

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Abstract

Recently, CNC machining simulations require exponentially increasing computational time and memories of the computers, which have become a significant challenge for both computer hardware and software. This paper presents a novel geometric model for CNC machining simulations, which is called Level of details based on G-Code, or G-LODs for short. The G-LODs uses a type of progressive mesh to construct the surface simulation grid (SSG). The SSG can be adopted to simulate the CNC machining processes at proper level of details. So theoretically simulations based on the G-LODs will not excessively occupy the computational and storage resources of computers. Based on the SSG, the G-buffer method is used to construct the solid model of the parts. The methodology of how to construct the G-LODs is established. In conclusion, several simulation examples based the G-LODs are presented.

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References

  1. 1.

    Jerard RB, Drysdale RL, Hauck KE, Schaudt B, Magewick J (1989) Methods for detecting errors in numerically controlled machining of sculptured surfaces. IEEE Comput Graph Appl 9:26–39

  2. 2.

    Chappel IT (1983) The use of vectors to simulate material removed by numerically controlled milling. Comput Aided Des 15(3):156–158

  3. 3.

    Oliver JH, Goodman ED (1990) Direct dimensional NC verification. Comput Aided Des 22(1):3–10

  4. 4.

    Oliver JH (1992) Efficient Intersection of surface normals with milling tool swept volumes for discrete three-axis NC verification. Trans ASME J Mech Des 114:283–287

  5. 5.

    Anderson RO (1978) Detecting and eliminating collisions in NC machining. Comput Aided Des 10(4):231–237

  6. 6.

    Fussell BK, Ersoy C, Jerard RB (1992) Computer generated CNC machining federates. Japan/USA Symposium on Flexible Automation ASME 1:377–384

  7. 7.

    Jerard RB, Drysdale RL, Hauck K, Schaudt B, Magewick J (1989) Methods for detecting errors in sculptured surface machining. IEEE Comput Graph Appl 9(1):26–39

  8. 8.

    Imani BM, Elbestawi MA (2001) Geometric simulation of ball-end milling operations. ASME J Manuf Sci Eng 123:177–184

  9. 9.

    Wang WP, Wang KK (1986) Geometric modeling for swept volume of moving solids. IEEE CG&A 6:8–17

  10. 10.

    Menon JP, Voelcker HB (1993) Toward a comprehensive formulation of NC verification as a mathematical and computational problem. J Des Manuf 3:263–277

  11. 11.

    Chiou C-J, Lee Y-S (1999) A shape-generating approach for multi-axis machining G-buffer models. Comput Aided Des 31:761–776

  12. 12.

    Saito T, Takahashi T (1991) NC machining with G-buffer method. Comput Graph 25(4):207–216

  13. 13.

    Menon JP, Robinson DM (1993) Advanced NC verification via massively parallel raycasting: Extensions to new phenomena and geometric domains. ASME Manuf Rev 6(2):141–154

  14. 14.

    Wang S-M, Chiou C-H, Cheng Y-M (2004) An improved dynamic cutting force model for end-milling process. J Mater Process Technol 148:317–327

  15. 15.

    Zhang Y, Luo Y, Wang JF, Li Z (2001) Research on the fractal of surface topography of grinding. Int J Mach Tools Manuf 41:2045–2049

  16. 16.

    Paris H, Peigne G, Mayer R (2004) Surface shape prediction in high speed milling. Int J Mach Tools Manuf 44:1567–1576

  17. 17.

    Spence AD, Li Z (2001) Parallel processing for 2-1/2 D machining simulation. Proc sixth ACM symposium on solid modeling and applications. Ann Arbor, MI, USA, pp 140–148

  18. 18.

    Hoppe H (1997) View-dependent refinement of progressive meshes. Comput Graph, SIGGRAPH ’97 Proc, pp 189–198

  19. 19.

    Hoppe H (1996) Progressive meshes. Comput Graph, SIGGRAPH ’96 Proc, pp 99–108

  20. 20.

    Erikson C, Manocha D(2000) Hierarchical levels of detail for fast display of large static and dynamic environments. UNC-CH Technical Report TR00–TR012

  21. 21.

    Kumar S, Manocha D, Lastra A (1996) Interactive display of large NURBS models. IEEE Trans Visualiz Comput Graph 2(4):323–336

  22. 22.

    Farin G (1993) Curves and surfaces for computer aided geometric design: a practical guide. Academic, San Diego

  23. 23.

    Lo C-C (2000) CNC machine tool surface interpolator for ball-end milling of free-form surfaces. Int J Mach Tools Manuf 40:307–326

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Correspondence to Wei He.

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He, W., Bin, H. Simulation model for CNC machining of sculptured surface allowing different levels of detail. Int J Adv Manuf Technol 33, 1173–1179 (2007). https://doi.org/10.1007/s00170-006-0543-1

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Keywords

  • CNC code verification
  • Level of details
  • Machining simulation
  • Progressive mesh