This paper examines the problem of enumerating the assembly configurations (ACs), also called circuits, of planar mechanisms which can be described as a single loop. A method is given which allows the user to find and distinguish the ACs of such a mechanism, by determining if each pair of adjacent links can line up. If each pair can line up, then the mechanism has one AC; otherwise, it has two ACs. It is shown that a single-loop mechanism can have no more than two ACs. The method is demonstrated with two examples.

1.
Chase
T. R.
, and
Mirth
J. A.
,
1993
, “
Circuits and Branches of Single-Degree-of-Freedom Planar Linkages
,”
ASME JOURNAL OF MECHANICAL DESIGN
, Vol.
115
, No.
2
, pp.
223
230
.
2.
Davis, H. P., Chase, T. R., and Mirth, J. A., 1994, “Circuit Analysis of Stephenson Chain Six-Bar Mechanisms,” Proceedings of ASME Design Technical Conferences, DE-Vol. 70, pp. 349–358.
3.
Foster, D. E., 1995, “Assembly Configurations of Closed-Loop Planar Mechanisms With Pin Joints and Sliding Joints,” M.S.M.E. Thesis, Purdue University, West Lafayette, IN.
4.
Gupta
K. C.
, and
Tinubu
S. O.
,
1983
, “
Synthesis of Bimodal Function Generating Mechanisms Without Branch Defect
,”
ASME Journal of Mechanisms, Transmissions, and Automation in Design
, Vol.
105
, No.
4
, pp.
641
647
.
5.
Midha
A.
,
Zhao
Z. L.
, and
Her
I.
,
1985
, “
Mobility Conditions for Planar Linkages Using Triangle Inequality and Graphical Interpretation
,”
ASME Journal of Mechanisms, Transmissions, and Automation in Design
, Vol.
107
, No.
3
, pp.
394
400
.
6.
Mirth
J. A.
, and
Chase
T. R.
,
1993
, “
Circuit Analysis of Watt Chain Six-Bar Mechanisms
,”
ASME JOURNAL OF MECHANICAL DESIGN
, Vol.
115
, No.
2
, pp.
214
222
.
7.
Primrose
E. J. F.
,
Freudenstein
F.
, and
Roth
B.
,
1967
, “
Six-Bar Motion
,”
Archive for Rational Mechanics and Analysis
, Vol.
24
, pp.
22
77
.
8.
Ting
K.-L.
,
1989
, “
Mobility Criteria of Single-Loop N-Bar Linkages
,”
ASME Journal of Mechanisms, Transmissions, and Automation in Design
, Vol.
111
, No.
4
, pp.
504
507
.
9.
Waldron
K. J.
,
1976
, “
Elimination of the Branch Problem in Graphical Burmester Mechanism Synthesis for Four Finitely Separated Positions
,”
ASME Journal of Engineering for Industry
, Vol.
98
, No.
1
, pp.
176
182
.
This content is only available via PDF.
You do not currently have access to this content.