An introduction to burmester field theory

Journal of Mechanical Design, Transactions of the ASME

Volumn 122, Issue 1, 2000, Pages 25-30

  Mlinar, John R ^a   Erdman, Arthur G ^b  

^a 3M COMPANY   (United States)

^b University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MACHINE DESIGN; POSITION CONTROL;

ANCHOR POLES; BURMESTER FIELD THEORY; ENVELOPE THEORY; MOTION GENERATION DYADS; TOOLING LINKAGES;

MOTION CONTROL;

EID: 0034156183     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.533553     Document Type: Article

References (20)

1. Beyer, R. The Kinematic Synthesis of Mechanisms, English translation by Kuensel, H., Chapman & Hall Ltd, London, 1963.
2. Mlinar, J. R., “An Examination of the Features of the Burmester Field and the Linear Solution Geometry of Dyads and Triads,” Ph.D. Dissertation, University of Minnesota, Minneapolis, Minnesota, 1997.
3. Sabada, S., Srinivasan, U., Kinzel, G. L., and Waldron, K. J., “Automatic Synthesis of Four-Bar Mechanisms for Four-Position Motion-Generation,” Proceedings of the 20th Biennial ASME Mechanisms Conference, (Trends and Developments Machine and Robotics), DE-Vol. 15-22, ASME 1988, pp. 121-128.
4. Venkataraman, S. C., Kinzel, G. L., and Waldron, K. J., “Optimal Synthesis of Four-Bar Linkages for Four-Position Rigid-Body Guidance with Selective Tolerance Specifications,” Mechanism Design and Synthesis, DE-Vol. 46, ASME 1992, pp. 651-659.
5. Gold, C. H., and Derby, S. J., “The Optimal Design of Mechanisms Employing a Synthesis Based Merit Function,” Mechanism Design and Synthesis, DE-Vol. 46, ASME 1992, pp. 621-631.
6. Mirth, J. A., “The Synthesis of Planar Linkages to Satisfy an Approximate Motion Specification,” ASME DE-Vol.53, 1993, pp. 65-71.
7. Mirth, J. A., “Quasi-Precision Position Synthesis of Four-Bar Linkages,” ASME DE-Vol. 70, 1994, pp. 215-220.
8. Holte, J. E., “Two Precision Positions of Planar Mechanisms with Approximate Position and Velocity Constraints,” Ph.D. Dissertation, University of Minnesota, Minneapolis, Minnesota, 1996.
9. Sandor, G. N., and Erdman, A. G., Advanced Mechanism Design: Analysis and Synthesis, 2, Prentice-Hall, Englewood Cliffs, NJ, 1984.
10. Kaufman, R. E., 1973, “KINSYN Phase II: A Human Engineered Computer System for Kinematic Design and a New Least-Squares Synthesis Operator,” Mech. Mach. Theory, 8, pp. 469-478.
11. Erdman, A. G., and Chase, T. R., 1985, “New Software Synthesizes Complex Mechanisms,” Mach. Design, 57, No. 19, pp. 107-113.
12. Gonzalez, R. C., and Woods, R. E., Digital Image Processing, Addison-Wesley Publishing, New York, 1992, pp. 416-443.
13. Courant, R., Differential and Integral Calculus, Vol. 2, Revised Edition, Nordemann Publishing Company, New York, 1937, pp. 171-179.
14. Widder, D. V., Advanced Calculus, Second Edition, Dover Publications, 1989, New York, pp. 141-145.
15. Bottema, O., and Roth, B., Theoretical Kinematics, Dover Publications, New York, 1990.
16. Keller, R. E., 1965, “Sketching Rules for the Curves of Burmester Mechanism Synthesis,” ASME J. Eng. Ind., 87, May, pp. 155-160.
17. Hunt, K. H., Kinematic Geometry of Mechanisms, Clarendon Press, Oxford, 1978.
18. Luck, K., 1994, “Computer-Aided Mechanism Synthesis Based on the Burmester Theory,” Mech. Mach. Theory, 29, No. 6, pp. 877-886.
19. Waldron, K. J., and Strong, R. T., “Improved Precision Position Mechanism Synthesis,” October 1979b, Final Report TR-12, Department of Mechanical Engineering, University of Houston.
20. Mlinar, J. R., and Erdman, A. G., “Burmester Field Envelopes for Multiple Design Parameters,” 1998 ASME Design Engineering Technical Conference, paper DETC98/MECH-5917, September, 1998.