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TECHNICAL PAPERS

Path Curvature of the Single Flier Eight-Bar Linkage

[+] Author and Article Information
Gordon R. Pennock, Edward C. Kinzel

School of Mechanical Engineering, Purdue University, West Lafayette, Indiana 47907-2088

J. Mech. Des 126(3), 470-477 (Oct 01, 2003) (8 pages) doi:10.1115/1.1731298 History: Received July 01, 2003; Revised October 01, 2003
Copyright © 2004 by ASME
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References

Hall, A. S., Jr., 1986, Kinematics and Linkage Design, Waveland Press, Inc., Prospect Heights, Illinois. (Originally published by Prentice-Hall, Inc., Engelwood Cliffs, N.J., 1961.)
Hain, K., 1967, Applied Kinematics, Second Edition, McGraw-Hill Book Co., Inc., New York.
Klein, A. W., 1917, Kinematics of Machinery, McGraw-Hill Book Company, Inc., New York.
Bagci,  C., 1983, “Turned Velocity Image and Turned Velocity Superposition Techniques for the Velocity Analysis of Multi-Input Mechanisms Having Kinematic Indeterminacies,” Mechanical Engineering News,20(1), February, pp. 10–15.
Dijksman, E. A., 1977, “Why Joint-Joining is Applied on Complex Linkages,” Proceedings of the Second IFToMM International Symposium on Linkages and Computer Aided Design Methods, Vol. I1, paper 17, pp. 185–212, SYROM’77, Bucharest, Romania, June 16–21.
Foster,  D. E., and Pennock,  G. R., 2003, “A Graphical Method to Find the Secondary Instantaneous Centers of Zero Velocity for the Double Butterfly Linkage,” ASME J. Mech. Des., 125(2), June, pp. 268–274.
Pennock,  G. R., and Sankaranarayanan,  H., 2003, “Path Curvature of a Geared Seven-Bar Mechanism,” Mech. Mach. Theory, 38(12), October, pp. 1345–1361, Pergamon Press, Ltd., Great Britain.
Rosenauer, N., and Willis, A. H., 1953, Kinematics of Mechanisms, Associated General Publications Pty. Ltd., Sydney, Australia.
Dijksman,  E. A., 1984, “Geometric Determination of Coordinated Centers of Curvature in Network Mechanisms Through Linkage Reduction,” Mech. Mach. Theory, 19(3), pp. 289–295, Pergamon Press, Ltd., Great Britain.
Hartenberg, R. S., and Denavit, J., 1964, Kinematic Synthesis of Linkages, McGraw-Hill Book Co., Inc., New York.
Uicker, J. J., Jr., Pennock, G. R., and Shigley, J. E., 2003, Theory of Machines and Mechanisms, Third Edition, Oxford University Press, Inc., New York.
Pennock, G. R., and Kinzel, E. C., 2003, “The Radius of Curvature of a Coupler Curve of the Single Flier Eight-Bar Linkage,” Proceedings of the 2003 ASME International Design Engineering Technical Conferences and the Computers and Information in Engineering Conference, CD ROM Format, Chicago, Illinois, September 2–6.
Hasan, A., 1999, “A Kinematic Analysis of an Indeterminate Single-Degree-of-Freedom Eight-Bar Linkage,” M.S.M.E. Thesis, School of Mechanical Engineering, Purdue University, West Lafayette, Indiana, December.

Figures

Grahic Jump Location
The single flier eight-bar linkage
Grahic Jump Location
(a) The instant center I8-41 of the seven-bar linkage. (b) The instant center I8-42 of the seven-bar linkage. (c) The locus of the instant center I8-4 of the seven-bar linkage. (d) The instant center I8-4 and point M. (e) The instant center I8-2 and point N.
Grahic Jump Location
(a) The poles P8-1,P8-2 and P8-3. (b) Point M, and the locus of M′ and M* for inversions 8/2 and 8/3. (c) The reduced four-bar linkage 10, 9, 2 and 3. (d) The reduced four-bar linkage 11, 12, 4 and 3.
Grahic Jump Location
(a) The center of curvature of Point T for 3/1. (b) The center of curvature of Point O2 for 2/10. (c) The center of curvature of Point M for 10/1.
Grahic Jump Location
(a) The center of curvature of Point U for 3/1. (b) The center of curvature of Point O4 for 4/11. (c) The center of curvature of Point N for 11/1.
Grahic Jump Location
(a) The equivalent four-bar linkage for 8/1. (b) The inflection circle and osculating circle for 8/1.

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