The Closure Modes of Bennett’s Twelve-Bar Planar Linkage

[+] Author and Article Information
J. Eddie Baker

School of Information Technologies, The University of Sydney, NSW 2006, Australiae-mail: jebaker@it.usyd.edu.au

J. Mech. Des 126(3), 464-469 (Oct 01, 2003) (6 pages) doi:10.1115/1.1711820 History: Received April 01, 2003; Revised October 01, 2003
Copyright © 2004 by ASME
Topics: Linkages , Networks
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Bennett,  G. T., 1914, “The Skew Isogram Mechanism,” Proc. London Math. Soc., 2s.,13, pp. 151–173.
Dixon,  A. C., 1899/1900, “On Certain Deformable Frameworks,” Messenger of Math., 29, pp. 1–21.
Bricard,  R., 1913, “Sur un Hexaèdre Particulier,” Nouv. Ann. de Math., 4s., XIII, pp. 24–29.
Bennett,  G. T., 1911, “Deformable Octahedra,” Proc. London Math. Soc., 2s., 10, pp. 309–343.
Bricard, R., 1927, Leçons de Cinématique, T. II, Gauthier-Villars, Paris, France.
Wunderlich,  W., 1954, “Ein merkwürdiges Zwölfstabgetriebe,” Österreichisches Ingenieur-Archiv, 8(2/3), pp. 224–228.
Baker,  J. E., 2003, “Exploration of a Twelve-Bar Linkage Network,” J. Multi-body Dynamics (Proc. Instn. Mech. Engrs., Part K) 217(3), pp. 253–257.
Baker,  J. E., 1994, “On the Six-Revolute Loops Contained in Bennett’s Twelve-Bar Linkages,” Mech. Mach. Theory, 29(4), pp. 625–633.


Grahic Jump Location
A modification of Bennett’s representation of the twelve-bar linkage, an example of Sub-type 4
Grahic Jump Location
Basis for an alternative description of linkage closure, following Wunderlich
Grahic Jump Location
A modification of Wunderlich’s “Type V” closure, here called Sub-type 1
Grahic Jump Location
An example of transition between Sub-types 1 and 2
Grahic Jump Location
An instance of Sub-type 3
Grahic Jump Location
A transitional state between Sub-types 3 and 4
Grahic Jump Location
A state intermediate between Sub-types 2 and 3
Grahic Jump Location
An example of Sub-type 5
Grahic Jump Location
The changeover state between Sub-types 4 and 5
Grahic Jump Location
Wunderlich’s “Type I” closure
Grahic Jump Location
An extension of Wunderlich’s fundamental form
Grahic Jump Location
A fully anti-parallelogrammatic closure mode of the 24-bar network



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