Discoveries of six-revolute spatial linkages have come about synthetically or intuitively rather than by analytical processes. The recognition of an anteriorly unknown case serendipitously incorporated in a new form of network has added a significant category to the existing tally of solutions. We demonstrate here that there are at least two other closely related loops. Further, the class can be generalized to a six-screw family. Unusual geometrical properties of the group are also investigated by means of displacement-closure equations and screw-motor algebra.
Issue Section:
Technical Papers
1.
Baker
,
J. E.
, 2002,
“Displacement-Closure Equations of the Unspecialised
Double-Hooke’s-Joint Linkage
,” Mech. Mach.
Theory
0094-114X
37
, pp. 1127
–1144
; 2.
Baker
,
J. E.
, 2003,
“Overconstrained Six-Bars with Parallel Adjacent
Joint-Axes
,” Mech. Mach. Theory
0094-114X
38
, pp. 103
–117
; 3.
Chen
Y.
, and
Baker
, J.
E.
, 2005,
“On Using a Bennett Linkage as a Connector Between Other
Bennett Loops
,” Proc. Inst. Mech. Eng.
0020-3483 Part K, Journal of Multi-body Dynamics,
219
, in press.4.
Baker
, J.
E.
, 1975,
Mobility Analyses of Spatial Linkages
,
Doctoral dissertation, The University of New South Wales, Sydney,
Australia.5.
Baker
, J.
E.
, 1978,
“Overconstrained 5-Bars with Parallel Adjacent Joint Axes—II
The Linkages
,” Mech. Mach. Theory
0094-114X
13
, pp. 219
–233
.6.
Baker
, J.
E.
, 1979,
“The E-H-H-H- Linkage
,” Mech. Mach.
Theory
0094-114X
14
, pp. 361
–372
.7.
Baker
, J.
E.
, 1981,
“The S-H-H-H-- Linkage
,” Mech. Mach.
Theory
0094-114X
16
, pp. 599
–609
.8.
Baker
, J.
E.
, 1982,
“On Completing the Determination of Existence Criteria for
Overconstrained 4-Bars with Helical Joints
,” Mech.
Mach. Theory
0094-114X
17
, pp. 133
–142
.9.
Baker
, J.
E.
, 1984,
“On 5-Revolute Linkages with Parallel Adjacent Joint
Axes
,” Mech. Mach. Theory
0094-114X
19
, pp. 467
–475
.10.
Baker
, J.
E.
, 1989,
“Overconstrained Five-Bars with Prismatic Joints and Parallel
Adjacent Joint Axes
,” Mech. Mach. Theory
0094-114X
24
, pp. 267
–273
.11.
Baker
, J.
E.
, and Waldron
, K.
J.
, 1974,
“Limit Positions of Spatial Linkages Via Screw System
Theory
,” ASME Design Engineering Technical
Conference
, New York
, NY,
5
–9
October, Paper no.
74-DET-107.Copyright © 2005
by American Society of Mechanical Engineers
You do not currently have access to this content.
