Solving the kinematics of planar mechanisms

Proceedings of the ASME Design Engineering Technical Conference

Volumn 1B-1998, Issue , 1998, Pages

  Wampler, Charles W ^a  

^a GENERAL MOTORS CORPORATION   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

POLYNOMIALS;

COMPLEX PLANES; EIGENVALUE PROBLEM; GENERAL METHOD; INPUT/OUTPUT; PLANAR MECHANISM; POLYNOMIAL EQUATION; SYSTEM OF EQUATIONS; TRANSLATIONAL JOINTS;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 17444372806     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC98/MECH-5935     Document Type: Conference Paper

References (14)

1. Bricard, R., 1927, Le-cons de Cin-ematique, Tome II, pp. 301-311.
2. Cayley, A., 1876, \On three-bar motion," Proc. London Math. Soc., Vol. VII, pp. 136-166.
3. Darboux, G., 1879, \De l'emploi des fonctions elliptiques dans la th-eorie du quadrilat-ere plan," Bull. des Sciences, math. et astronom. 2e serie T. III, pp. 109-128.
4. Groenman, J.T., 1950, \Behandeling van de koppelkromme met behulp van isotrope coördinaten," Ph.D. Thesis, Technische Hogeschool te Delft.
5. Haarbleicher, A., 1933, \Application des coordonn-ees isotropes a l'-etude de la courbe des trois barres," J. de l'Ecole Polytechnique, II serie, Vol. 31, pp. 13-40.
6. Innocenti, C., 1994, "Analytical-Form Position Analysis of the 7-Link Assur Kinematic Chain with Four Serially-Connected Ternary Links", Vol. 116, No. 2, pp. 622-628.
7. Innocenti, C., 1995a, \Polynomial solution to the position analysis of the 7-link Assur kinematic chain with one quaternary link," Mech. Mach. Theory, Vol. 30, No. 8, pp. 1295-1303.
8. Innocenti, C., 1995b, \Polynomial solution of the spatial Burmester problem," ASME J. Mechanical Design, Vol 117, pp. 64-68.
9. Nielsen, J., 1997, Solving sets of nonlinear equations for the design and analysis of mechanical systems, Ph.D. Thesis, Dept. of Mech. Eng., Stanford University.
10. Primrose, E.J.F., and Freudenstein, F., 1963, \Geared-ve-bar motion: Part 2|Arbitrary commensurate gear ratio," Trans. ASME Series E (J. Applied Mechanics), Vol. 30E, pp. 170-175.
11. Primrose, E.J.F., Freudenstein, F., and Roth, B., 1967, \Six-bar motion (Parts I-III)," Archive for Rational Mechanics and Analysis, Vol. 24, pp. 22-77.
12. Roberts, S., 1875, \On three-bar motion in plane space," Proc. London Math. Soc., Vol. VII, pp. 14-23.
13. Sturmfels, B. and Zelevinsky, A., 1994, \Multigraded resultants of Sylvester type," J. of Algebra, Vol. 163, No. 1, pp. 115-127.
14. 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.