Finding geometric invariants from time-based invariants for spherical and spatial motions

Journal of Mechanical Design

Volumn 127, Issue 2, 2005, Pages 227-231

  Roth, Bernard ^a  

^a Stanford University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; DIFFERENTIATION (CALCULUS); EQUATIONS OF MOTION; VECTORS;

GEOMETRIC INVARIANTS; GEOMETRIC KINEMATICS; MOTION ANALYSIS;

KINEMATICS;

EID: 18144365141     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1828462     Document Type: Article

References (10)

1. Bottema, O., and Roth, B., 1990, Theoretical Kinematics, Dover Publications, New York.
2. Roth, B., and Yang, A., 1997, "Application of Instantaneous Invariants to the Analysis and Synthesis of Mechanisms," ASME J. Eng. Ind., 99 (1), pp. 97-103.
3. Roth, B., 2004, "Time-Invariant-Properties of Planar Motions," Advances in Robot Kinematics, edited by J. Lenarčič and C. Galletti, Kluwer Academic, Dordrecht.
4. Bottema, O., 1961, "Some Remarks on Theoretical Kinematics," Proceedings of the International Conference for Teachers of Mechanisms. edited by F. Crossley, The Shoe String Press, North Haven, CT, pp. 157-167.
5. Veldkamp, G., 1963, Curvature Theory in Plane Kinematics Doctoral dissertation,. T. H. Delft, Delft, The Netherlands.
6. Veldkamp, G., 1967, "Canonical Systems and Instantaneous Invariants in Spatial Kinematics," J. Mech.. 2(3), pp. 329-388
7. Nayak, J., and Roth, B., 1981, "Instantaneous Kinematics of Multi-Degree-of-Freedom Motion," ASME J. Mech. Des., 103, pp. 608-620.
8. McCarthy, J., and Roth, B., 1981, "The Curvature Theory of Line Trajectories in Spatial Kinematics," ASME J. Mech. Des., 103, pp. 718-724.
9. McCarthy, J., and Roth, B., 1982, "Instantaneous Properties of Trajectories Generated by Planar, Spherical, and Spatial Rigid Body Motions," ASME J. Mech. Des., 104, pp. 39-51.
10. Stachel, H., 2000, "Instantaneous Spatial Kinematics and the Invariants of the Axodes," Proceedings Ball 2000 Symposium, Cambridge University Press, London, (23), p. 14.