Coordinate-free kinematic analysis of overconstrained mechanisms with mobility one

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 85, Issue 10, 2005, Pages 740-747

  Lerbet, Jean ^a  

^a UNIVERSITÉ PARIS EST   (France)

Author keywords

Bennett mechanism; Bricard mechanism; Closure function; Lie groups; Overconstraint mechanisms; Singularities

Indexed keywords

EID: 26844501382     PISSN: 00442267     EISSN: None     Source Type: Journal    
DOI: 10.1002/zamm.200110195     Document Type: Article

References (14)

1. V. Arnold, A. Varchenko, and S. Goussein-Zade, Singularités des applications différentiables (Mir, Moscou, 1986).
2. D.P. Chevallier, Mech. Mach. Theory 26(6), 613-627 (1991).
3. C. G. Gibson and K. H. Hunt, Mech. Mach. Theory 25(1), 1-10 and 11-27 (1990).
4. M. Golubitsky and V. Guillemin, Stable Mappings and Their Singularities (Springer-Verlag, New York, 1973).
5. J. M. Hervé, Mech. Mach. Theory 17(3), 179-184 (1982).
6. Qiong Jin, Tingli Yang, Mech. Mach. Theory 37, 267-278 (2002).
7. A. Karger, Manuscr. Math. 62, 115-328 (1989).
8. A. Karger, Mech. Mach. Theory 30(5), 727-736 (1995).
9. J. Lerbet and K. Hao, Acta Appl. Math. 59, 1-19 (1999).
10. J. Lerbet, Z. Angew. Math. Mech. 78(10), 687-694 (1998).
11. R. M. Murray, Z. Li, and S. S. Sastry, A Mathematical Introduction to Robotic Manipulation, (CRC Press, Boca Raton, FL, 1994).
12. H. Pottman and J. Wallner, Computational Line Geometry (Springer, Berlin, 2001).
13. J.M. Selig, Geometrical Methods in Robotics (Springer Verlag, New York, 1996).
14. J. Wittenburg, Dynamics of Systems of Rigid Bodies (B. G. Teubner, Stuttgart, 1977).