Burmester lines of spatial five position synthesis from the analysis of a s-cpc platform

Journal of Mechanical Design, Transactions of the ASME

Volumn 121, Issue 1, 1999, Pages 45-49

  Murray, A P ^a   McCarthy, J M ^b  

^a University of Dayton   (United States)

^b University of California Irvine   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TRANSFORMATIONS; MECHANISMS; VECTORS;

BURMESTER LINES;

MACHINE DESIGN;

EID: 0033098946     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2829428     Document Type: Article

References (12)

1. Beyer, R., 1953, Kinematische Getriebesynthese, Springer-Verlag, Berlin.
2. Bottema, O., and Roth, B 1979, Theoretical Kinematics, North-Holland Publishing Company, New York.
3. Burmester, L., 1886, Lehrbuch der Kinematik, Verlag Von Arthur Felix, Leipzig, Germany.
4. Dimentberg, F. M., 1965, “The Screw Calculus and its Applications in Mechanics,” (in Russian) Moscow. (English trans: AD680993, Clearing house for Federal Technical and Scientific Information, Virginia.)
5. Hall, Allen S. 1961, Kinematics and Linkage Design, Prentice-Hall, Inc., Englewoods Cliffs, New Jersey.
6. Hartenberg, Richard S., and Denavit, Jacques, 1964, Kinematic Synthesis of Linkages, McGraw-Hill, New York.
7. McCarthy, J. M., 1993, “A Parameterization of the Central Axis Congruence Associated with Four Positions of a Rigid Body in Space,” ASME JOURNAL OF MECHANICAL DESIGN, Vol. 115, No. 3, pp. 547-551.
8. McCarthy, J. M., 1990, An Introduction to Theoretical Kinematics, MIT Press, Cambridge, Mass.
9. Murray, A. P., and McCarthy, J. M., 1995, “Determining Burmester Points from the Analysis of a Planar Platform,” ASME JOURNAL OF MECHANICAL DESIGN, Vol. 117, No. 2A, pp. 303-307, June.
10. Roth, B., 1967, “On the Screw Axes and Other Special Lines Associated With Spatial Displacements of a Rigid Body,” ASME Journal of Engineering for Industry, February, 89B, pp. 102-110.
11. Sandor, George N., and Erdman, Arthur G., Advanced Mechanism Design: Analysis and Synthesis, Vol. 2, Prentice-Hall, Inc., Englewoods Cliffs, New Jersey, 1984.
12. Yang, A. T., and Freudenstein, F., “Application of Dual-Number Quaternion Algebra to the Analysis of Spatial Mechanisms,” ASME Journal of Applied Mechanisms, Vol. 31, 86E, pp. 300-308, 1964.