Swept volume generation for the simulation of machining processes

International Journal of Machine Tools and Manufacture

Volumn 44, Issue 6, 2004, Pages 617-628

  Weinert, Klaus ^a   Du, Shangjian ^a   Damm, Patrick ^a   Stautner, Marc ^a  

^a TU DORTMUND UNIVERSITY   (Germany)

Author keywords

Five axis milling; NC path optimization; Swept volume

Indexed keywords

ALGORITHMS; BOOLEAN ALGEBRA; COMPUTER AIDED DESIGN; COMPUTER SIMULATION; CUTTING TOOLS; DIFFERENTIAL EQUATIONS; KINEMATICS; OPTIMIZATION; TRAJECTORIES;

FIVE AXIS MILLING; NC PATH OPTIMIZATION; SWEPT VOLUME;

MILLING (MACHINING);

EID: 1342346352     PISSN: 08906955     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmachtools.2003.12.003     Document Type: Article

References (32)

1. Piegel L., Tiller W. The NURBS Book. 1997;Springer Verlag, Berlin.
2. Wang W.P., Wang K.K. Geometric modeling for swept volume of moving solids. IEEE Computer Graphic Applications. 6:(12):1986;8-17.
3. Chung Y.C., Park J.W., Shin H., Choi B.K. Modeling the surface swept by a generalized cutter for NC-verification. Computer Aided Design. 30:(8):1998;587-593.
4. Chiou C.-J., Lee Y.-S. A shape-generating approach for multi-axis machining G-buffer models. Computer Aided Design. 31:1999;761-776.
5. Chiou C.-J., Lee Y.-S. Swept surface determination for five-axis numerical control machining. International Journal of Machine Tools and Manufacture. 42:2002;1497-1507.
6. Imani B.M., Elbestawi M.A. Geometric simulation of ball-end milling operations. Transaction of the ASME, Journal of Manufacturing Science and Engineering. 123:(5):2001;177-184.
7. ElMounayri H., Elbestawi M.A., Spence A.D., Bedi S. General geometric modelling approach for machining process simulation. International Journal of Advanced Manufacturing Technology. 13:1997;237-247.
8. Bailey T., Elbestawi M.A., El-Wardany T.-I., Fitzpatrick P. Generic simulation approach for multi-axis machining, part 1: modeling methodology. Transaction of the ASME, Journal of Manufacturing Science and Engineering. 124:(8):2002;624-633.
9. Blackmore D., Leu M.C., Wang L.P. The sweep-envelope differential equation algorithm and its application to NC-machining verification. Computer Aided Design. 29:(9):1997;629-637.
10. Huang Y., Oliver J.H. NC-milling error assessment and tool path correction. Computer Graphics Proceedings, Conference Proceedings (Proc. SIGGRAPH '94), July 24-19:1994;287-294.
11. Weinert K., Guntermann G., Stautner M. Effiziente Simulation wird möglich. Form Werkzeug. 36:(6):2001;36-38.
12. P. Damm, Entwicklung einer VR-basierte Konstruktions- und Programmierumgebung für das Werkzeugschleifen, Master thesis, Department of Machining Technology, University of Dortmund, April 1998.
13. Saito T., Takahashi T. NC-machining with G-buffer method. Proc. SIGGRAPH '91 Computer Graphics. 25 (4):1991;207-216.
14. Crossman J., Yoon D. A cutter motion simulation system. Transaction of the Society for Design and Process Science. 4:(1):2000;25-35.
15. Wang W., Joe B. Robust computation of the rotation minimizing frame for sweep surface modeling. Computer Aided Design. 29:(5):1997;379-391.
16. van Hook T. Real time shaded NC-milling display. Proc. SIGGRAPH '86 Computer Graphics. 20 (4):1986;15-20.
17. Jerard R.B., Hussaini S.Z., Drysdale R.L., Schaudt B. Approximate methods for simulation and verification of numerically controlled machining programs. The Visual Computer. 5:(6):1989;329-348.
18. Abdel-Malek K., Yeh H.-J. Geometric representation of the swept volume using Jacobian rank-deficiency conditions. Computer Aided Design. 29:(6):1997;457-468.
19. Abdel-Malek K., Seaman W., Yeh H.J. NC-verification of up to 5 axis machining processes using manifold stratification. ASME Journal of Manufacturing Science and Engineering. 122:2000;1-11.
20. Roth D., Bedi S., Ismail F., Mann S. Surface swept by a toroidal cutter during 5-axis machining. Computer Aided Design. 33:(1):2001;57-63.
21. Glaeser G., Gröller E. Efficient volume-generation during the simulation of NC-milling. Hege H.-C., Polthier K. Mathematical Visualization. 1998;89-106 Springer Verlag, Heidelberg.
22. Kim Y., Varadhan G., Lin M., Manocha D. Fast swept volume approximation of complex polyhedral models. ACM Symposium on Solid Modeling and Applications, Seattle, Washington, June 16-20, 2003: 2003.
23. Pottmann H., Peternell M. Envelopes - computational theory and applications. Proceedings, Spring Conference on Computer Graphics and its Applications, Budmerice, Slovakia: 2000;3-23.
24. Jüttler B., Wagner M. Spatial rational B-spline motions. ASME Journal of Mechanical Design. 118:1996;193-201.
25. Elber G., Kim M.-S. Offsets, sweeps, and Minkowski sums. Computer Aided Design. 31:(3):1999;163-173.
26. Martin R., Stephenson P. Sweeping of three-dimensional objects. Computer Aided Design. 22:(4):1990;223-234.
27. Weld J., Leu M. Geometric representation of swept volume with application to polyhedral objects. International Journal of Robotics Research. 9:(5):1990;105-117.
28. N.N., available from: www.opencascade.com.
29. Hoffmann C.M. Geometric and Solid Modeling. 1989;Morgan Kaufmann Publishers.
30. Kawashima Y., Itoh K., Ishida T., Nonaka S., Ejir K. A flexible quantitative method for NC-machining verification using a space-division based solid model. The Visual Computer. 7:1991;149-157.
31. Schiehlen W. Technische Dynamik. 1986;B.G. Teubner Stuttgart.
32. Bronstein I.N., Sememdjajew K.A. Taschenbuch der Mathematik. 1991;B.G. Teubner Stuttgart.