Optimal workpiece setups for 4-axis numerical control machining based on machinability

Computers in Industry

Volumn 37, Issue 1, 1998, Pages 27-41

  Tang, Kai ^a,b   Chen, Lin Lin ^c   Chou, Shuo Yan ^c  

^a Applicon Inc   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

^c NONE

Author keywords

Geometric algorithms; Machinability; NC machining; Setup orientation

Indexed keywords

ALGORITHMS; COMPUTATIONAL GEOMETRY; HEURISTIC METHODS; MACHINABILITY; MACHINING; NUMERICAL CONTROL SYSTEMS; OPTIMIZATION;

NUMERICAL CONTROL (NC) MACHINING;

COMPUTER INTEGRATED MANUFACTURING;

EID: 0032092839     PISSN: 01663615     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-3615(98)00067-0     Document Type: Article

References (13)

1. L.L. Chen, T. Woo, Computational geometry on the sphere with application to automated machining, Trans. ASME, J. Mech. Design 114 (1990) 288-295.
2. J.G. Gan, Spherical algorithms for setup orientations of workpieces with sculptured surfaces, PhD dissertation, Dept. of Industrial and Operations Engineering, University of Michigan, Ann Arbor, MI, 1990.
3. R.T. Farouki, The approximation of non-degenerate offset surfaces, Comput. Aided Geometric Design 3 (1986) 15-43.
4. J.E. Castillo, Mathematical Aspects of Numerical Grid Generation, Frontiers in Applied Mathematics, Vol. 8, SIAM, 1991.
5. J.G. Gan, T.C. Woo, K. Tang, Spherical maps: their construction, properties and approximation, Trans. ASME, J. Mech. Design 116 (1994) 357-363.
6. M.R. Garey, D.S. Johnson, Computers and Intractability, Freeman, San Francisco, 1979.
7. K. Tang, T.C. Woo, Maximum intersection of spherical polygons and workpiece orientation for 4- and 5-axis machining, Trans. ASME, J. Mech. Design 114 (1990) 477-485.
8. P. Gupta, R. Janardan, J. Majhi, T.C. Woo, Efficient geometric algorithms for workpiece orientation in 4- and 5-axis NC machining, Comput.-Aided Design 28 (8) (1996) 577-587.
9. K.Q. Brown, Geometric transformation for fast geometric algorithms, PhD thesis, Dept. of Computer Science, Carnegie Mellon Univ., 1979.
10. B. Chazelle, L.J. Guibas, D.T. Lee, The power of geometric duality, BIT 25 (1985) 76-90.
11. H. Edelsbrunner, H. Maurer, F. Preparata, A. Rosenberg, E. Welzl, D. Wood, Stabbing line segments, BIT 22 (1982) 274-281.
12. H. Edelsbrunner, L. Guibas, M. Sharir, The complexity of many faces in arrangements of lines and segments, Discrete Comput. Geometry 5 (1990) 161-196.
13. A. Aho, J. Hopcroft, J. Ullman, The Design and Analysis of Computer Algorithms, Addison-Wesley Publishing, 1974.