Solving the kinematics of planar mechanisms by dixon determinant and a complex-plane formulation

Journal of Mechanical Design, Transactions of the ASME

Volumn 123, Issue 3, 2001, Pages 382-387

  Wampler, Charles W ^a  

^a GENERAL MOTORS CORPORATION   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012998741     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1372192     Document Type: Article

References (14)

1. Wampler, C., 1999, “Solving the kinematics of planar mechanisms,” ASME J. Mech. Des., 121, No. 3, pp. 387-391.
2. Nielsen, J., and Roth, B., 1999, “Solving the Input/Output Problem for Planar Mechanisms,” ASME J. Mech. Des., 121, No. 2, pp. 206-211.
3. Primrose, E. J. F., Freudenstein, F., and Roth, B., 1967, “Six-bar Motion (Parts I-III),” Arch. Ration. Mech. Anal., 24, pp. 22-77.
4. Innocenti, C., 1994, “Analytical-Form Position Analysis of the 7-Link Assur Kinematic Chain with Four Serially-Connected Ternary Links,” ASME J. Mech. Des., 116, No. 2, pp. 622-628.
5. Innocenti, C., 1995, “Polynomial Solution to the Position Analysis of the 7-link Assur Kinematic Chain with One Quaternary Link,” Mech. Mach. Theory, 30, No. 8, pp. 1295-1303.
6. Han, L., Liao, Q., and Liang, C., 2000, “Closed-Form Displacement Analysis for a Nine-Link Barranov Truss or a Eight-Link Assur Group,” Mech. Mach. Theory, 35, No. 3, pp. 379-390.
7. Dhingra, A. K., Almadi, A. N., and Kohli, D., 1999, “A Framework for Closed-Form Displacement Analysis of Planar Mechanisms,” ASME J. Mech. Des., 121, No. 3, pp. 392-401.
8. Losch, S., 1995, “Parallel Redundant Manipulators Based on Open and Closed Normal Assur Chains,” Computational Kinematics, J.-P. Merlet and B. Ravani, eds., Kluwer Academic Publ., Dordrecht, The Netherlands, pp. 251-260.
9. Dhingra, A. K., Almadi, A. N., and Kohli, D., 2000, “A Grobner-Sylvester Hybrid Method for Closed-Form Displacement Analysis of Mechanisms,” ASME J. Mech. Des., 122, No. 4, pp. 431-438.
10. Wampler, C., Morgan, A., and Sommese, A., 1990, “Numerical Continuation Methods for Solving Polynomial Systems Arising in Kinematics,” ASME J. Mech. Des., 112, No. 1, pp. 59-68.
11. Wampler, C., 1996, “Isotropic Coordinates, Circularity, and Bezout Numbers: Planar Kinematics from a New Perspective,” Proc. ASME Des. Eng. Tech. Conf., Aug. 18-22, Irvine, CA, Paper 96-DETC/Mech-1210.
12. Waldron, K. J., and Sreenivasen, S. V., 1996, “A Study of the Solvability of the Position Problem for Multi-Circuit Mechanisms by Way of Example of the Double Butterfly Linkage,” ASME J. Mech. Des., 118, No. 3, pp. 390-395.
13. Shen, H., Ting, K.-L., and Yang, T., 2000, “Configuration Analysis of Complex Multiloop Linkages and Manipulators,” Mech. Mach. Theory, 35, No. 3, pp. 353-362.
14. Dixon, A. L., 1909, “The Eliminant of Three Quantics in Two Independent Variables,” Proc. London Math. Soc., Ser. 2, 7, pp. 49-69.