Screw theory based metrology for design and error compensation of machine tools

Proceedings of the ASME Design Engineering Technical Conference

Volumn 2, Issue , 2001, Pages 697-707

  Moon, Sang Ku ^a   Moon, Yong Mo ^a   Kota, Sridhar ^a   Lancers, Robert G ^b  

^a The Department of Civil and Environmental Engineering   (United States)

^b University of Missouri Rolla   (United States)

Author keywords

Error Compensation; Kinestatic filtering; Machine tool accuracy; Screw theory

Indexed keywords

CALIBRATION; ERROR COMPENSATION; INSTRUMENT ERRORS; KINEMATICS; MACHINE DESIGN; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; UNITS OF MEASUREMENT; COMPUTATION THEORY; COMPUTER AIDED DESIGN; INVERSE KINEMATICS; INVERSE PROBLEMS; MACHINE TOOLS; SCREWS;

KINESTATIC FILTERING; MACHINE TOOL ACCURACY; SCREW THEORY; CO-ORDINATE TRANSFORMATION; COMPLEX MACHINES; ERROR PROPAGATION; FILTERING TECHNIQUE; FIVE-AXIS MACHINE TOOLS; FUNCTIONAL REPRESENTATION; MATHEMATICAL FRAMEWORKS; MULTI-AXIS MACHINE TOOL;

MACHINE TOOLS; ERROR COMPENSATION;

EID: 1542540372     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (14)

1. Yuan, J. and Ni, J., 1998, "The Real-time Error Compensation Technique for CNC Machining Systems," Mechatronics, 8, pp. 359-380.
2. Chasles, M., 1830, "Bulletin des Sciences Mathematiques, Astronomiques, Physiques et Chiniques," 14, Baron de Ferrusac, Paris, pp.321-326.
3. Poinsot, L., 1806, Sur la Composition des moments et la composition des aires, J. EC. Polyt., Paris, 6, pp. 182-205.
4. Portman, V., 2000, "Deterministic Metrology of Platform-Type Machine Tools," International Journal of Machine Tools and Manufacture, 40, pp. 1423-1442.
5. Moon, Y., 2000, "Reconfigurable Machine Tool Design: Theory and Application," Ph.D Dissertation, University of Michigan, Ann Arbor, MI.
6. Murray, R. M., Li, Z. and Shankar Sastry, S., 1994, A Mathematical Introduction to Robotic Manipulation. CRC Press, Boca Raton, FL, pp.115-118.
7. Tsai, L., 1999, Robot Analysis: The Mechanics of Serial and Parallel Manipulators, John Wiley & Sons, New York, NY, pp.192-195.
8. Murray, R. M., Li, Z. and Shankar Sastry, S., 1994, A Mathematical Introduction to Robotic Manipulation, CRC Press, Boca Raton, FL, pp.97-115, pp.155-207.
9. Yuan, M.S.C., and Freudenstein, F., 1971, "Kinematic Analysis of Spatial Mechanisms by means of Screw Coordinates," ASME Journal of Engineering Industry, 93, No. 1., pp. 61-73.
10. Koli, D, and Soni, A.H., 1975, "Kinematic Analysis of Spatial Mechanisms via Successive Screw Displacements," ASME Journal of Engineering Industry, 97, No. 2., pp. 739-747.
11. Lipkin, H., 1985, "Geometry and Mappings of Screws with Applications to Hybrid Position/Force Control of Robotic Manipulator," Ph.D. Dissertation, University of Florida.
12. Lipkin, H., and Duffy, J., 1988, "Hybrid Twist and Wrench Control for a Robotic Manipulator," ASME Journal of Mechanisms, Transmissions, and Automation in Design, 110, pp. 138-144.
13. Brockett, R. W., 1984, Robotic manipulators and the product of exponentials formula. In Fuhrman, P.A., editor, Mathematical Theory of Networks and Systems, Springer-Verlag, New York, NY, pp. 120-129.
14. Mahburbur, R MD., Heikkala, J., Lappalainen, K., and Karjalainen, J. A., 1996, "Positioning Accuracy Improvement in Five-axis Milling by Post Processing", International Journal of Machine Tools Manufacture, 37, No.2, pp.223-236.