In this paper, the concept of kinematic fractionation is introduced for epicyclic gear trains (EGTs) which contains structural fractionation as a degenerate case. With the concept of kinematic fractionation, kinematically independent group(s) embedded in an EGT can be identified. A composition list, which depicts the links and the link connection in the associated group, is used to determine the type of fractionation. It is found that most previously enumerated structurally non-fractionated EGTs in the literature are kinematically fractionated. It is shown that a structurally non-fractionated EGT may be kinematically fractionated while a structurally fractionated EGT must be kinematically fractionated. The concept of kinematic fractionation can lead to efficient topological analysis of EGTs with physical comprehension. [S1050-0472(00)01604-4]

1.
Lin
,
C. C.
, and
Tsai
,
L. W.
,
1989
, “
The Creation of Non-fractionated Two-Degree-of-Freedom Epicyclic Gear Trains
,”
ASME J. of Mech. Trans. Auto. Des.
,
111
, pp.
524
529
.
2.
Freudenstein
,
F.
,
1971
, “
An Application of Boolean Algebra to the Motion of Epicyclic Drives
,”
ASME J. Eng. Ind.
,
93
, Series B, pp.
176
182
.
3.
Tsai
,
L. W.
,
1987
, “
An Application of the Linkage Characteristic Polynomial to The Topological Synthesis of Epicyclic Gear Trains
,”
ASME J. Mech. Trans. Auto Des.
,
109
, No.
3
, pp.
329
336
.
4.
Hsu
,
C. H.
,
1993
, “
Synthesis of Kinematic Structure of Planetary Gear Trains by Admissible Graph Method
,”
J. Franklin Inst.
,
330
, No.
5
, pp.
913
927
.
5.
Wagner, T. C., and Papalambros, P. Y., 1993, “A General Framework For Decomposition Analysis in Optimal Design,” Proceedings of the 19th Annual ASME Design Automation Conference, Albuquerque, NM, pp. 315–325.
6.
Kusiak
,
A.
, and
Larson
,
N.
,
1995
, “
Decomposition and Representation Methods in Mechanical Design
,”
ASME J. Mech. Des.
,
117
, pp.
17
24
.
7.
Freudenstein
,
F.
,
1972
, “
Kinematics and Statics of a Coupled Epicyclic Spur-Gear Train
,”
Mech. Mach. Theory
,
7
, pp.
263
275
.
8.
Uicker
, Jr.,
J. J.
, and
Raicu
,
A.
,
1975
, “
A Method for the Identification and Recognition of Equivalence of Kinematic Chains
,”
Mech. Mach. Theory
,
10
, pp.
375
383
.
9.
Olson
,
D. G.
,
Erdman
,
A. G.
, and
Riley
,
D. R.
,
1991
, “
Topological Analysis of Single-Degree-of-Freedom Planetary Gear Trains
,”
ASME J. Mech. Des.
,
113
, pp.
10
16
.
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