Path curvature of a geared seven-bar mechanism

Mechanism and Machine Theory

Volumn 38, Issue 12, 2003, Pages 1345-1361

  Pennock, Gordon R ^a   Sankaranarayanan, Harish ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

Curvature of a coupler point path; Equivalent five bar linkage; Euler Savary equation; Indeterminate mechanisms; Instant centers; Kinematic coefficients; Kinematic inversions

Indexed keywords

CONSTRAINT THEORY; DEGREES OF FREEDOM (MECHANICS); GRAPH THEORY; KINEMATICS; MATHEMATICAL MODELS; THEOREM PROVING;

INDETERMINATE MECHANISMS;

ELECTRIC MACHINE THEORY;

EID: 0141525332     PISSN: 0094114X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0094-114X(03)00091-0     Document Type: Article

References (19)

1. Bagci C. Turned velocity image and turned velocity superposition techniques for the velocity analysis of multi-input mechanisms having kinematic indeterminacies. ASME Mechanical Engineering News. 20(1):1983;10-15.
2. Bahgat B.M., Osman M.O.M. The parametric coupler curve equations of an eight link planar mechanism containing revolute and prismatic joints. Mechanism and Machine Theory. 27(2):1992;201-211.
3. E.A. Dijksman, Why joint-joining is applied on complex linkages, in: Proceedings of the Second IFToMM International Symposium on Linkages and Computer Aided Design Methods II, paper 17, SYROM'77, Bucharest, Romania, June 16-21, 1977, pp. 185-212.
4. Dijksman E.A. Geometric determination of coordinated centers of curvature in network mechanisms through linkage reduction. Mechanism and Machine Theory. 19(3):1984;289-295.
5. D.E. Foster, G.R. Pennock, A graphical method to find the secondary instantaneous centers of zero velocity for the double butterfly linkage, in: Proceedings of the 28th ASME International Design Engineering Technical Conferences, CD-Rom Format, Montreal, Quebec, Canada, September 29-October 2, 2002.
6. Freudenstein F., Primrose E.J.F. Geared five bar motion. Part I: Gear ratio minus one. ASME Journal of Applied Mechanics. 9:1963;161-165.
7. Freudenstein F., Primrose E.J.F., Roth B. Six bar motion. Archive for Rational Mechanics and Analysis. 24:1967;42-72.
8. Hain K. Applied Kinematics. Second ed. 1967;McGraw-Hill Book Company, New York.
9. Hall A.S. Jr. Notes on Mechanism Analysis. 1981;Waveland Press, Prospect Heights, IL.
10. Hall A.S. Jr. Kinematics and Linkage Design. 1986;Waveland Press, Prospect Heights, IL. (Originally published by Prentice-Hall, New Jersey, 1961).
11. Hartenberg R.S., Denavit J. Kinematic Synthesis of Linkages. 1964;McGraw-Hill Book Company, New York. p. 435.
12. Hrones J.A., Nelson G.L. Analysis of the Four-Bar Linkage; it's Application to the Synthesis of Mechanisms. 1951;John Wiley & Sons, New York.
13. Klein A.W. Kinematics of Machinery. 1917;McGraw-Hill Book Company, New York.
14. Kohli D., Soni A.H. Synthesis of seven-link mechanisms. ASME Journal of Engineering for Industry. 9:1973;533-540.
15. Mattson K.G., Pennock G.R. The velocity problems of two 3-R robots manipulating a four-bar linkage payload. Mechanism and Machine Theory. 31(8):1996;1019-1032.
16. Pennock G.R., Kassner D.J. Kinematic analysis of a planar eight-bar linkage: application to a platform-type robot. ASME Journal of Mechanical Design. 114(1):1992;87-95.
17. Rosenauer N., Willis A.H. Kinematics of Mechanisms. 1953;Associated General Publications, Sydney, Australia.
18. Soni A.H. Mechanism Synthesis and Analysis. 1974;McGraw-Hill Book Company, New York.
19. Uicker J.J. Jr., Pennock G.R., Shigley J.E. Theory of Machines and Mechanisms. Third ed. 2003;Oxford University Press, New York.