Despite the many studies devoted to it and its value as a learning tool, the Bennett linkage has never been employed as a working mechanism. It has recently found favor, however, among structural analysts as a possible unit in deployable networks owing to the potential for true spatial displacement without flexure. Although the loop can be analyzed in this application by means of purely geometrical methods, a wealth of kinematic examinations is available for more efficient treatment. The particular form that the chain must adopt as a deployable object and the special case of the linkage demanded by the purpose constitute the subject of the present exposition, which takes full advantage of prior analyses of the chain’s kinematic characteristics.
Issue Section:
Research Papers
1.
Phillips
, J.
, 1984, Introducing Screw Theory
, Freedom in Machinery, Vol. 1
, Cambridge University Press
, Cambridge, UK.2.
Phillips
, J.
, 1990, Screw Theory Exemplified
, Freedom in Machinery, Vol. 2
, Cambridge University Press
, Cambridge, UK.3.
Crawford
, R. F.
, Hedgepeth
, J. M.
, and Preiswerk
, P. R.
, 1973, “Spoked Wheels to Deploy Large Surfaces in Space: Weight Estimates for Solar Arrays
,” NASA-CR-2347.4.
Gan
, W. W.
, and Pellegrino
, S.
, 2003, “Closed-Loop Deployable Structures
,” Proc. 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
, Norfolk, Virginia, April 7–10, Paper No. AIAA 2003-1450.5.
Chen
, Y.
, 2003, Design of Structural Mechanisms
, Doctoral dissertation, University of Oxford, Oxford, UK.6.
Chen
, Y.
, You
, Z.
, and Tarnai
, T.
, 2005, “Threefold-Symmetric Bricard Linkages for Deployable Structures
,” Int. J. Solids Struct.
0020-7683, 42
, pp. 2287
–2301
.7.
Chen
, Y.
, and You
, Z.
, 2005, “Mobile Assemblies Based on the Bennett Linkage
,” Proc. R. Soc. London, Ser. A
1364-5021, 461
, pp. 1229
–1245
.8.
Bennett
, G. T.
, 1903, “A New Mechanism
,” Engineering (London)
0013-7782, 76
, pp. 777
–778
.9.
Bennett
, G. T.
, 1914, “The Skew Isogram Mechanism
,” Proc. London Math. Soc.
0024-6115, 2s., 13
, pp. 151
–173
.10.
Bricard
, R.
, 1927, Leçons de Cinématique
, Gauthier-Villars
, Paris, Vol. 2
.11.
Baker
, J. E.
, and Yu
, H.-c.
, 1983, “On Spatial Analogues of Kempe’s Linkages and Some Generalisations
,” Mech. Mach. Theory
0094-114X, 18
(6
), pp. 457
–466
.12.
Baker
, J. E.
, and Hu
, M.
, 1986, “On Spatial Networks of Overconstrained Linkages
,” Mech. Mach. Theory
0094-114X, 21
(5
), pp. 427
–437
.13.
Baker
, J. E.
, 1994, “On the Six-Revolute Loops Contained in Bennett’s Twelve-Bar Linkages
,” Mech. Mach. Theory
0094-114X, 29
(4
), pp. 625
–633
.14.
Baker
, J. E.
, 1988, “The Bennett Linkage and its Associated Quadric Surfaces
,” Mech. Mach. Theory
0094-114X, 23
(2
), pp. 147
–156
.15.
Baker
, J. E.
, 2004, “The Composition of Bennett’s Hyperboloids from the Loop Itself
,” ASME J. Mech. Des.
1050-0472, 126
(5
), pp. 875
–880
.16.
Baker
, J. E.
, 2004, “Bennett’s Double Helix
,” Proc. Inst. Mech. Eng., Part K: J. Multi-body Dynamics
, 218
(4
), pp. 223
–230
.17.
Baker
, J. E.
, 1998, “On the Motion Geometry of the Bennett Linkage
,” Proc. Eighth International Conference on Engineering Design Graphics and Descriptive Geometry
, Austin, Texas, July 31–August 3, Vol. 2
, pp. 433
–437
.18.
Yu
, H.-c.
, 1987, “Geometry of the Bennett Linkage via its Circumscribed Sphere
,” Proc. 7th World Congress on the Theory of Machines and Mechanisms
, Sevilla, Spain, September 17–22, Vol. 1
, pp. 227
–229
.19.
Baker
, J. E.
, and Waldron
, K. J.
, 1974, “Limit Positions of Spatial Linkages via Screw System Theory
,” Proc. Design Engineering Technical Conference
, New York, October 5–9, Paper no. 74-DET-107.20.
Baker
, J. E.
, 1979, “Limit Positions of Spatial Linkages via Connectivity Sum Reduction
,” ASME J. Mech. Des.
1050-0472, 101
(3
), pp. 504
–508
.21.
Chen
, Y.
, and Baker
, J. E.
, 2005, “Using a Bennett Linkage as a Connector Between Other Bennett Loops
,” Proc. Inst. Mech. Eng., Part K: J. Multi-body Dynamics
, 219
(2
), pp. 177
–185
.22.
Lee
, C.-C.
, 1995, “Kinematic Analysis and Dimensional Synthesis of Bennett 4R Mechanism
,” JSME Int. J., Ser. C
1340-8062, 38
(1
), pp. 199
–207
.Copyright © 2007
by American Society of Mechanical Engineers
You do not currently have access to this content.
