A unified formulation for swept volume and robot workspace analyses

Proceedings of the ASME Design Engineering Technical Conference

Volumn 2, Issue , 1997, Pages

  Abdel Malek, Karim ^a   Yeh, Harn Jou ^b   Ruwady, Rabeeh ^c  

^a University of Beirut Aub New York Office   (United States)

^b UNIVERSITY OF IOWA   (United States)

^c AMERICAN UNIVERSITY OF BEIRUT   (Lebanon)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER AIDED DESIGN; MANIPULATORS; ROBOTS;

CONSTRAINT FUNCTIONS; CONSTRAINT VECTORS; GENERALIZED COORDINATES; GEOMETRIC ENTITIES; LOCAL PERTURBATION; MECHANICAL MANIPULATORS; PARAMETRIC EQUATION; UNIFIED FORMULATIONS;

PERTURBATION TECHNIQUES;

EID: 0342491106     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC97/DAC-3761     Document Type: Conference Paper

References (24)

1. Blackmore, D and Leu, M C 'Analysis of Swept Volume via Lie Groups and Differential Equations' The International Journal of Robotics Research Vol 11 (6) (1992) pp516-537.
2. Blackmore, D, Jiang, H, and Leu, M C Modeling of Swept Solids Using Sweep Differential Techniques' Proc. 4th IFIP WG5. 2 Workshop Geometric Modeling in Computer-Aided Design, Rensselaerville, NU (1992).
3. Weld, J D and Leu, M C 'Geometric Representation of Swept Volumes With Application to Polyhedral Objects' The International Journal of Robotics Research Vol9 (5) (1990) pp105-117.
4. Leu, M C, Park, S H, and Wang, K K 'Geometric Representation of Translational Swept Volumes and Its Applications' ASME Journal of Engineering for Industry, Vol 108 (1986) pp113-119.
5. Blackmore, D, Leu, M C, and Frank, S 'Analysis and Modeling of Deformed Swept Volumes' Computer Aided Design Vol 25 (4) (1994), pp315-326.
6. Martin, R R and Stephenson, P C 'Sweeping of threedimensional Objects' Computer Aided Design Vol 22 (4) (1990), pp223-234.
7. Wang, W P and Wang, K K 'Geometric Modeling for Swept Volume of Moving Solids' IEEE Computer Graphics and Applications, Vol 6 (12) (1986), pp8-17.
8. Kieffer, J and Litvin, F L 'Swept Volume Determination and Interference Detection for Moving 3-D Solids' Transactions of the ASME, Journal of Mechanical Design Vol 113 (1990) pp456-463.
9. Abrams, S and Allen, P K 'Swept Volumes and their use in viewpoint computation in robot work-cells' Proceedings of the IEEE International Symposium on Assembly and Task Planning (1995) pp188-193.
10. Schroeder, W J, Lorensen, W E, and Linthicum, S 'Implicit Modeling of Swept Surfaces and Volumes' Proceedings of the IEEE Visualization Conference, Los Alamitos, CA (1994) pp40-45.
11. Hu, Z J and Ling, Z K 'Generating Swept Volumes with Instantaneous Screw Axes' Proceedings of the 1994 ASME Design Technical Conference, Part 1, Minneapolis, MN (1994), DE Vol 70 (1) pp. 7-14.
12. Parida, L and Mudur, S P 'Computational Methods for Evaluating Swept Object Boundaries' Visual Computer Vol 10 (5) (1994) pp266-276.
13. Klok, F 'Two Moving Coordinate Frames for Sweeping Along a 3D Trajectory' Computer-Aided Geometric Design, Vol 3 (1986) pp217-229
14. Ganter, M A, Storti, D W, and Ensz, M T 'On Algebraic Methods for Implicit Swept Solids with Finite Extent' ASME DE Vol 65 (2) (1993) pp389-396.
15. Sambandan, K and Wang, K K 'Five-axis Swept Volumes for Graphic NC Simulation and Verification' ASME DE 19 (1) (1989) pp143-150.
16. Fridshal, R, Duncan, D, Cheng, K D, and Zucker, W 'Numerical Control Part Program Verification System' Proceedings CAD/CAM Technology for Mechanical Engineering, Cambridge, MA: MIT pp236-254.
17. Jerard, R B and Drysdale, R L 'Geometric Simulation of Numerical Control Machinery' ASME Computers Engineer Vol 2 (1988) pp129-136.
18. Voelker, H B and Hunt, W A 'The Role of Solid Modeling in Machining Process Modeling and NC Verification' SAE Tech. Paper #810195 (1985).
19. Oliver, J and Goodman, E 'Direct Dimensional NC Verification' Computer Aided Design Vol 22 (1990) pp3-9.
20. Oliver, J H 'Efficient Intersection of Surface Normals with Milling Tool Swept Volumes for Discrete Three-axis NC Verification' ASME DE Vol 23 (1) (1990) pp159-164.
21. Narvekar, A P, Huang, Y, and Oliver, J H 'Intersection of Rays with Parametric Envelope Surfaces Representing Five-Axis NC Milling Tool Swept Volumes' ASME DE Vol 44 (2) (1992) pp223-230.
22. Farin, G., Geometric Modeling Algorithms and New Trends, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1987.
23. Abdel-Malek, K. and Yeh, H. J. Determining Intersection Curves Between Surfaces of Two Solids, ' Computer Aided Design (in press).
24. Keller, H B Lectures on Numerical Methods in Bifurcation Problems. 1987 Springer Verlag, Berlin, Heidelberg, New York.