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Article

Graphical Methods to Locate the Secondary Instant Centers of Single-Degree-of-Freedom Indeterminate Linkages

[+] Author and Article Information
David E. Foster

Senior Engineer—Design, Caterpillar, Inc., East Peoria, IL 61630-3130

Gordon R. Pennock

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

J. Mech. Des 127(2), 249-256 (Mar 25, 2005) (8 pages) doi:10.1115/1.1829070 History: Received February 10, 2004; Revised May 11, 2004; Online March 25, 2005
Copyright © 2005 by ASME
Topics: Linkages
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References

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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), pp. 268–274.
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Pennock, G. R., and Sankaranarayanan, H., 2003, “Path Curvature of a Geared Seven-Bar Mechanism,” Mechanism and Machine Theory, The Scientific Journal of the International Federation for the Theory of Machines and Mechanisms, Pergamon, Oxford, Vol. 38, pp. 1345–1361.
Pennock, G. R., and Raje, N. N., 2004, “Curvature Theory for the Double Flier Eight-Bar Linkage,” Mechanism and Machine Theory, The Scientific Journal of the International Federation for the Theory of Machines and Mechanisms, Pergamon, Oxford, Vol. 39, pp. 665–679.
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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, IL, 2–6 September, 2003.
Pennock,  G. R., and Kinzel,  E. C., 2004, “Path Curvature of the Single Flier Eight-Bar Linkage,” ASME J. Mech. Des., 126(3), pp. 268–274.
Crossley, F. R. E., 1965, “The Permutations of Kinematic Chains of Eight Members or Less From the Graph-Theoretic Viewpoint,” Developments in Theoretical and Applied Mechanics, W. A. Shaw, ed., Vol. 2. (Also appeared in the Proceedings of the Second Southeastern Conference on Theoretical and Applied Mechanics, Atlanta, GA, Mar. 5–6, 1964, pp. 467–486.)
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Figures

Grahic Jump Location
Links i and j of a two-degree-of-freedom linkage
Grahic Jump Location
A schematic diagram of the five-bar linkage
Grahic Jump Location
Link j replaced by a pair of connected links. (a) Link j in the indeterminate linkage. (b) The pair of connected links j and j.
Grahic Jump Location
(a) The indeterminate ten-bar linkage. (b) The secondary instant centers obtained from the Aronhold–Kennedy theorem. (c) The first arbitrary choice of the instant center I19. (d) The second arbitrary choice of the instant center I19. (e) The secondary instant centers I49 and I19.
Grahic Jump Location
(a) The single flier eight-bar linkage. (b) A two-degree-of-freedom nine-bar linkage. (c) The first arbitrary choice of the instant center I27. (d) The second arbitrary choice of the instant center I27. (e) The secondary instant center I28.
Grahic Jump Location
(a) A ten-bar linkage with revolute and prismatic joints. (b) A two-degree-of-freedom nine-bar linkage. (c) The first arbitrary choice of the instant center I14. (d) The second arbitrary choice of the instant center I14. (e) The secondary instant center I13.

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