Formulating three-dimensional contact dynamics problems

Mechanics of Structures and Machines

Volumn 24, Issue 4, 1996, Pages 405-437

  Anitescu, Mihai ^a   Cremer, James F ^b   Potra, Florian A ^a  

^a UNIVERSITY OF IOWA   (United States)

^b University of Iowa   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; GEOMETRY; PROBLEM SOLVING; SURFACES; THREE DIMENSIONAL;

ARBITRARY BOUNDARY SHAPE; CONTACT POINTS; DIFFERENTIAL ALGEBRAIC EQUATION; FRICTIONLESS PLANAR CONTACTS; THREE DIMENSIONAL CONTACT DYNAMICS;

DYNAMICS;

EID: 0030284767     PISSN: 08905452     EISSN: None     Source Type: Journal    
DOI: 10.1080/08905459608905271     Document Type: Article

References (11)

1. E. J. Haug, S. C. Wu, and S. M. Yang, Dynamic mechanical systems with Coulomb friction, stiction, impact and constraint addition-deletion, I: Theory, Mech. Mach Theory 21(5): 407-416 (1986).
2. P. Lötstedt. Mechanical systems of rigid bodies subject to unilateral constraints, SIAM J. Appl. Math 42(2): 281-296 (1982).
3. D. Baraff, Issues in computing contact forces for non-penetrating rigid bodies, Algorithmica 10: 292-352 (1993).
4. J C. Trinkle, J. S. Pang, S. Sudarsky, and G, Lo, "On Dynamic Multi-Rigid-Body Contact Problems with Coulomb Friction," Technical Report 95-003, Texas A & M University, Dept, of Computer Science, 1995.
5. D. J. Montana, The kinematics of contact and grasp, Int. J. Robotics Res. 7(3): 17-32 (1988).
6. C. Cai and B. Roth, On the spatial motion of rigid bodies with point contact, Proc. 1987 IEEE Conf. on Robotics and Automation, pp. 686-695.
7. R.M. Murray, Z. Li, and S.S. Sastry, A Mathematical Introduction to Robotic Manipulation, CRC Press, Boca Raton, Florida, 1994.
8. E. J. Haug, Computer Aided Kinematics and Dynamics of Mechanical Systems, Allyn and Bacon, Boston, 1989
9. R. W. Cottle, J. S. Pang, and R E. Stone, The Linear Complementarity Problem, Academic Press, Boston, 1992.
10. R. M. Murray and S S. Sastry, Grasping and manipulation using multifingered robot hands, in Robotics: Proceedings of Symposia in Applied Mathematics, Vol. 41 (R. W Brockelt, Ed.), American Mathematical Society, 1990, pp. 91-128.
11. M. P. do Carmo, Differential Geometry of Curves and Surfaces, Prentice-Hall, Englewood Cliffs, New Jersey. 1976.